output
stringlengths
52
181k
instruction
stringlengths
296
182k
#include <bits/stdc++.h> using namespace std; char buf[1 << 15], *fs, *ft; inline char getc() { return (fs == ft && (ft = (fs = buf) + fread(buf, 1, 1 << 15, stdin), fs == ft)) ? 0 : *fs++; } inline long long read() { register long long x = 0, f = 1; register char ch = getc(); ...
### Prompt Please provide a cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long r(long long n, long long s[], long long a[], long long su[], long long ti[][3]) { long long i, max, sum, min, f; f = (n - 1) % 3 + 1; n = (n - f) / 3; for (i = 0; i < 28; i++) { if (n < su[i]) { break; } } n = n - su[i - 1]; ...
### Prompt Please create a solution in cpp to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> long long n, ans, j; int t, p, a[] = {0, 0, 0, 1, 2, 3, 2, 3, 1, 3, 1, 2}; int main() { for (scanf("%d", &t); t--; ans = 0) { scanf("%lld", &n); p = --n % 3, n = n / 3 - 1; for (j = 1; n + 1; j *= 4, n = n / 4 - 1) ans += j * a[n % 4 * 3 + p]; printf("%lld\n", ans + j * (p + 1...
### Prompt Create a solution in CPP for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t; cin >> t; while (t--) { long long n; cin >> n; long long p4 = 1; while (p4 * 4 <= n) p4 *= 4; long long k = p4 + (n - p4) / 3; if (n % 3 == 1) { cout << k << endl; ...
### Prompt Please formulate a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; int main() { long long a[200000]; long long b[200000]; long long c[200000]; for (long long i = 0; i < (long long)(200000); i++) a[i] = 0; long long n, k, t; long long x, y, z; long long xx, yy, zz; long long s, ans; bool v = true; ans = 0; a[0] = 1; ...
### Prompt Construct a CPP code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; long long t, n, x, y; int tmp[3]; long long calc2(long long x, long long t) { if (t == 1) { return 0; } long long nt = t / 4; if (x < nt) { return calc2(x, nt); } if (x < nt * 2) { return calc2(x - nt, nt) + 2 * nt; } if (x < nt * 3) { return...
### Prompt Please formulate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; const long long mod1 = 19260817; const long long mod2 = 19660813; long long n; long long cur; long long R; void solve() { --n; cur = n % 3; n = n / 3; while ((1LL << R) <= n) { n -= (1LL << R); R += (1 << 1); } for (long long i = 0; i < R; i += 2) { ...
### Prompt In cpp, your task is to solve the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](h...
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimization("unroll-loops") long long md = 1000000007; using namespace std; template <typename T> T pw(T a, T b) { T c = 1, m = a; while (b) { if (b & 1) c = (c * m); m = (m * m), b /= 2; } return c; } template <typename T> T ceel(T a, ...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); ; int T; cin >> T; for (int t = 0; t < T; t++) { long long n; cin >> n; long long currentK = 0; long long seen = 0; n--; long long transformations[3][4] = { {0, 1, 2, 3}, {0, ...
### Prompt Develop a solution in cpp to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); long long n = 500; vector<int> res; set<int> s; for (int i = 0; i < 1000 * n; ++i) s.insert(i + 1); while (res.size() < n) { int a = *s.begin(); int b, c; s.erase(s.begin()); for (int...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; int T; long long mp[4] = {0, 2, 3, 1}; long long n, base, mod; long long ans[3]; int main() { ios::sync_with_stdio(false); scanf("%d", &T); while (T--) { ans[1] = 0; base = 1; scanf("%lld", &n); --n; mod = n % 3; n /= 3; if (n == 0) { ...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long n; long long T; long long wei(long long a) { long long t = 0; while (a) { t++; a >>= 1; } return t; } long long suan(long long now, long long xuyao) { if (xuyao == 1) return now; long long A = wei(now); long long ss = 0; for (long long i = ...
### Prompt Construct a Cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; long long cost[4][2] = {{0, 0}, {2, 3}, {3, 1}, {1, 2}}; long long get_a(long long N) { long long cnt = 1; while (cnt <= N) { N -= cnt; cnt *= 4; } return cnt + N; } void solve() { long long N; cin >> N; long long x = get_a((N - 1) / 3); long long f[...
### Prompt Your task is to create a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR o...
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimization("unroll-loops, no-stack-protector") #pragma GCC target("avx,avx2,fma") using namespace std; const long long maxn = 2e5 + 30; const long long mod = 1e9 + 7; const long long base = 1e9; int main() { ios_base::sync_with_stdio(false); cin.t...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; set<long long> ss; vector<long long> s; tuple<long long, long long, long long> find() { tuple<long long, long long, long long> mn; for (long long a = 1; a <= 300; a++) { for (long long b = a + 1; b <= 300; b++) { for (long long c = b + 1; c <= 300; c++) { ...
### Prompt Construct a cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; const long long one = 1; long long mp[] = {0, 2, 3, 1}; long long solve(long long n) { if (n < 4) return n; long long _n = n; n -= 4; long long a, b, c; for (int i = 2;; i += 2) { long long can = 3 * (one << i); if (n < can) { a = (one << i) | (n / 3...
### Prompt Your challenge is to write a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; inline bool setmin(int &x, int y) { return (y < x) ? x = y, 1 : 0; } inline bool setmax(int &x, int y) { return (y > x) ? x = y, 1 : 0; } inline bool setmin(long long &x, long long y) { return (y < x) ? x = y, 1 : 0; } inline bool setmax(long long &x, long long y) { return ...
### Prompt Your task is to create a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR o...
#include <bits/stdc++.h> using namespace std; const long long md = 998244353; const int xn = 1e5 + 10; const int xm = -20 + 10; const int SQ = 450; const int sq = 1e3 + 10; const int inf = 1e9 + 10; const long long INF = 1e18 + 10; long long power(long long a, long long b) { return (!b ? 1 : (b & 1 ? a *...
### Prompt Please provide a CPP coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long int pow1(long long int a, long long int b, long long int m = 1000000007) { if (b == 0) return 1ll; else if (b == 1) return a; else { long long int x = pow1(a, b / 2, m); x *= x; x %= m; if (b % 2) { x *= a; ...
### Prompt Create a solution in Cpp for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> struct result { long long level; long long sum_up_to; }; result find_level(long long n) { result res; res.sum_up_to = 0; for (long long level = 0; level <= 100; level += 2) { long long this_level = (1ll << level); if (n < res.sum_up_to + this_level) { res.level = level; ...
### Prompt Please formulate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimization("unroll-loops") long long md = 1000000007; using namespace std; template <typename T> T pw(T a, T b) { T c = 1, m = a; while (b) { if (b & 1) c = (c * m); m = (m * m), b /= 2; } return c; } template <typename T> T ceel(T a, ...
### Prompt Develop a solution in Cpp to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; void solve() { long long N; cin >> N; long long n = (N - 1) / 3; if (n == 0) { cout << N << "\n"; return; } int dig = 1; long long cnt = 1; while (true) { long long add = (1ll << (2 * dig)); if (n < cnt + add) break; dig++; cnt += add...
### Prompt Please create a solution in cpp to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #pragma comment(linker, "/STACK:2000000") using namespace std; using ll = long long; using db = long double; using ii = pair<int, int>; const int N = 2e5 + 5, LG = 19, MOD = 1e9 + 7; const int SQ = 320; const long double EPS = 1e-7...
### Prompt Please provide a cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long ads[4][3]; pair<long long, pair<long long, long long> > ini_ans[256]; pair<long long, pair<long long, long long> > solve(long long x) { if (x < 256) return ini_ans[x]; int r = x & 3; pair<long long, pair<long long, long long> > r1 = solve(x / 4); long long...
### Prompt Generate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; const long long int conv[][3] = {{1, 2, 3}, {2, 3, 1}, {3, 1, 2}}; void solve(long long int n) { int r = n % 3; if (r != 0) n = (n / 3 + 1) * 3; if (r == 0) r = 2; else r = r - 1; int k = 0; long long int cnt = 3; long long int tmp; while (cnt < n) {...
### Prompt Please provide a Cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; const long long SZ = 1e5 + 4; const double EPS = 1e-7; const long long mod = 1e9 + 7; const long long hashpow = 2; const long long inf = 2e9; struct custom_hash { static uint64_t splitmix64(uint64_t x) { x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(0); int t; cin >> t; for (int z = 0; z < t; ++z) { long long n; cin >> n; long long k = 0; long long cur = 0; long long m = (n + 2) / 3; while (cur + (1ll << (2 * k)) < m) { cur +...
### Prompt Generate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; void solve() { long long N; cin >> N; N--; long long g = N / 3; long long pow = 1; while (g >= pow) { g -= pow; pow <<= 2; } long long a = pow + g; long long trans[4] = {0, 2, 3, 1}; long long b = 0; for (int i = 0; i < 60; i += 2) { b += t...
### Prompt Please provide a CPP coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long pow4[31]; long long psa[32]; int main() { ios::sync_with_stdio(0); cin.tie(0); pow4[0] = 1; psa[0] = 0; psa[1] = 1; for (int i = 1; i < 31; i++) { pow4[i] = pow4[i - 1] * 4; psa[i + 1] = psa[i] + pow4[i]; } int tt; cin >> tt; while (tt-...
### Prompt Construct a Cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; long long solve(long long val, long long st) { if (st == 1) return 0; long long help = st / 4; if (val < help) return solve(val, st / 4); if (val < 2 * help) return solve(val - help, st / 4) + 2 * help; if (val < 3 * help) return solve(val - 2 * help, st / 4) + 3 ...
### Prompt Construct a CPP code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; const long long int conv[][3] = {{1, 2, 3}, {2, 3, 1}, {3, 1, 2}}; void solve(long long int n) { int r = n % 3; if (r != 0) n = (n / 3 + 1) * 3; if (r == 0) r = 2; else r = r - 1; int k = 0; long long int cnt = 3; while (cnt < n) { k++; cnt += ...
### Prompt Please provide a CPP coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long int logo(long long int x, long long int b) { long long int ans = 0; while (x > 0) { x /= b; ans++; } return ans; } long long int powr(long long int b, long long int x) { if (x == 0) return 1; long long int sq = powr(b, x / 2); if (x & 1) retu...
### Prompt Please provide a Cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; inline long long read() { long long x = 0, f = 1, c = getchar(); while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) { x = (x << 1) + (x << 3) + (c ^ 48); c = getchar(); } return f == 1 ? x : -x; } long long calc(long ...
### Prompt Construct a CPP code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; int T; long long n; long long solve1(long long x) { long long ans = 0; if (!x) return 1; x--; for (int i = 2;; i += 2) { if ((1LL << i) > x) { ans += (1LL << i); break; } x -= (1LL << i); } static long long tmp[] = {0, 1, 2, 3}; for (in...
### Prompt Develop a solution in cpp to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; long long get1(long long u) { vector<int> res; while (u) { res.push_back(u % 2); u /= 2; } res.push_back(0); for (int i = 0; i < res.size(); i += 2) { if (res[i] == 1 && res[i + 1] == 0) { swap(res[i], res[i + 1]); } else if (res[i] == 0 && r...
### Prompt Your task is to create a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR o...
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7, INF = 1e18; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long t = 1; cin >> t; for (long long test = 1; test <= t; test++) { long long n; cin >> n; if (n < 4) { cout << n << "...
### Prompt Please provide a CPP coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; template <class T> ostream& operator<<(ostream& os, const vector<T>& v) { for (auto i = begin(v); i != end(v); i++) os << *i << (i == end(v) - 1 ? "" : " "); return os; } template <class T> istream& operator>>(istream& is, vector<T>& v) { for (auto i = begin(v); i...
### Prompt Please formulate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; long long d1[] = {0, 2, 3, 1}; long long fn1(long long start, long long pos, long long len) { long long zzz = len / 4; if (len == 1) return start; for (long long i = 0; i < 4; i++) { long long l = i * zzz; long long r = l + (zzz - 1); if (l <= pos && pos <...
### Prompt Generate a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; long long n; void solve() { cin >> n; long long a = (n - 1) / 3, b = n % 3, cnt; for (cnt = 0; a >= (1LL << 2 * cnt); ++cnt) a -= (1LL << 2 * cnt); a += (1LL << 2 * cnt); long long ans[3] = {0, a, 0}; for (int i = 0; a; a >>= 2, ++i) { if ((a & 3) == 1) ...
### Prompt Your task is to create a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR o...
#include <bits/stdc++.h> using namespace std; template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string...
### Prompt Create a solution in CPP for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; const long long int conv[][3] = {{1, 2, 3}, {2, 3, 1}, {3, 1, 2}}; void solve(long long int n) { int r = n % 3; if (r != 0) n = (n / 3 + 1) * 3; if (r == 0) r = 2; else r = r - 1; int k = 0; long long int cnt = 3; while (cnt < n) { k++; cnt += ...
### Prompt Please create a solution in cpp to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; const int maxn = 100000; const int ff[4] = {0, 2, 3, 1}; int main() { int cas; scanf("%d", &cas); while (cas--) { long long n; scanf("%lld", &n); long long g = (n - 1) / 3 + 1; int id = (n - 1) % 3 + 1; int B = 0; long long N = 1; while (g ...
### Prompt Please formulate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; long long pot[30]; int main(void) { int t; scanf("%d", &t); pot[0] = 1; for (int i = 1; i <= 27; i++) pot[i] = pot[i - 1] * 4LL; while (t--) { long long n; scanf("%lld", &n); int p; long long a, b; for (int i = 0; i <= 27; i++) { if (pot[...
### Prompt Develop a solution in Cpp to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; template <class K> inline bool cmax(K& a, const K& b) { return (a < b) ? a = b, 1 : 0; } template <class K> inline bool cmin(K& a, const K& b) { return (a > b) ? a = b, 1 : 0; } inline long long read() { register long long s = 0; register char c = getchar(); while...
### Prompt Generate a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; const int maxN = 1010; int used[maxN]; void brut() { vector<int> res; int idx = 0; while (idx < 100) { ++idx; int found = false; for (int i = 1; i < maxN && !found; ++i) { for (int j = i; j < maxN && !found; ++j) { for (int k = j; k < maxN &&...
### Prompt Construct a CPP code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; long long n; vector<long long> b = {0, 2, 3, 1}; pair<long long, long long> dfs(long long v) { if (v == 0) return {4, 8}; if (v == 1) return {5, 10}; if (v == 2) return {6, 11}; if (v == 3) return {7, 9}; pair<long long, long long> p = dfs(v / 4 - 1); p.first <<...
### Prompt Construct a cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("popcnt") using namespace std; const long long MOD = 1000000007; const long long MOD2 = 1000000009; const long long BASE = 257; const long long INF = 1000000050; const long long BIG = (long long)2e18 + 50; con...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; const long long int maxn = 201001; long long int get(long long int len, long long int pos) { if (len == 1) return 1; if (pos < len / 4) { return get(len / 4, pos); } if (pos >= (3 * len / 4)) { return (len / 4) + get(len / 4, pos - (3 * len / 4)); } if (...
### Prompt Please create a solution in Cpp to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; using LL = long long; LL mat[3][4] = { {0, 1, 2, 3}, {0, 2, 3, 1}, {0, 3, 1, 2}, }; LL recalc(LL n, int typ) { LL ans = 0; for (int i = 0; i <= 31; i++) { if ((n & (1ll << i + i)) || (n & (1ll << i + i + 1))) { ans |= (mat[typ][(n >> i + i) & 3] <<...
### Prompt Develop a solution in CPP to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; inline int read() { int v = 0, f = 1; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { v = v * 10 + c - '0'; c = getchar(); } return v * f; } int H; void mian(int _ = -1) { ...
### Prompt Please create a solution in CPP to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; long long next_val[] = {0, 2, 3, 1}; vector<long long> v; long long find_se(long long base_value, long long pos, long long width) { if (width == 0) { return base_value; } return find_se(base_value + width * next_val[pos / width], pos % width, widt...
### Prompt Construct a Cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; cin >> t; while (t--) { long long n; cin >> n; int bit = -1; for (int i = 0; i < 30; i++) { long long cnt = 3ll * (1ll << (i + i)); if (cnt < n) { n -=...
### Prompt Create a solution in CPP for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; const long long INF = 1e9 + 7; const int N = 3e3 + 10; int flag[N]; int a[] = { 0, 1, 2, 3, 4, 8, 12, 5, 10, 15, 6, 11, 13, 7, 9, 14, }; int offset[][3] = { 16, 32, 48, 17, 34, 51, 18, 35, 49, 19, 33, 50, 20, 40, 60, 21, 42, 63, 22, 43, 61, 23, 41, 62, 24, 44, 5...
### Prompt Generate a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; using Int = long long; int PREP = (cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(9), 0); Int fast(Int N) { Int ans = 0, t; for (t = 0; t < 32; t++) if (N <= (1LL << (2 + 2 * t)) - 1) break; const int A[3] = {3, 1, 2}; N...
### Prompt Construct a Cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; const int mod = 1000000007; const vector<int> mods = {998244353, 1000000007, 1000000009}; const long long inf = 3e18; const double pi = acos(-1.0); const double eps = 0.0000001; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); template <class... K> using...
### Prompt Please provide a cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; class InputReader { public: InputReader() {} InputReader(const char *file_name) { input_file = fopen(file_name, "r"); cursor = 0; fread(buffer, SIZE, 1, input_file); } inline InputReader &operator>>(int &n) { while (buffer[cursor] < '0' || buffer[cu...
### Prompt Generate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; int T; long long n; int main() { scanf("%d", &T); while (T--) { scanf("%lld", &n); long long p = (n - 1) / 3, s = 1, all = 0; while (p >= s) p -= s, s <<= 2; if (n % 3 == 1) printf("%lld\n", s + p); else if (n % 3 == 2) { long long ans = ...
### Prompt Please provide a Cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; vector<long long> csize; const int transmute[4] = {0, 2, 3, 1}; int main() { ios::sync_with_stdio(false); cin.tie(0); int t; long long n; long long x = 1; long long acc = 0; for (int i = 0; i < 29; i++) { csize.push_back(acc + x); acc += x; x *= 4;...
### Prompt Please formulate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; long long a[100010]; long long pow(long long x, long long y, long long k) { long long res = 1; while (y) { if (y & 1) res *= x; res = res % k; if (x > 1e9) break; x *= x; x = x % k; y = y >> 1; } return res; } long long c[200]; int main() { ...
### Prompt Please provide a cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; inline long long read() { long long f = 1, ans = 0; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { ans = ans * 10 + c - '0'; c = getchar(); } return f * ans; } pair<long lo...
### Prompt In Cpp, your task is to solve the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](h...
#include <bits/stdc++.h> using namespace std; inline long long read() { char c = getchar(); long long x = 0; bool f = 0; for (; !isdigit(c); c = getchar()) f ^= !(c ^ 45); for (; isdigit(c); c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48); if (f) x = -x; return x; } long long get(long long x, long long ...
### Prompt Generate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; const double TL = 1.5 * CLOCKS_PER_SEC; mt19937 rng( (unsigned int)chrono::steady_clock::now().time_since_epoch().count()); vector<long long> get_row(long long r) { long long p = 1, s = 0, l = 0; for (;; p *= 4) { if (s + p >= r) { break; } l += 2;...
### Prompt Generate a cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; int main() { int t; scanf("%d", &t); long long period[3][4] = {{0, 3, 1, 2}, {}, {0, 2, 3, 1}}; while (t--) { long long n; scanf("%lld", &n); int p2 = 0; long long t = 1; while ((t << 2) <= n) t <<= 2, p2 += 2; long long row = (n - t) / 3; ...
### Prompt Create a solution in Cpp for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 5; int t; long long n, ans[5]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> t; while (t--) { cin >> n; if (n <= 3) { cout << n << "\n\n"; continue; } long long res = n / 3; if (n % 3...
### Prompt Generate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; int test; long long n; long long cal(long long a) { long long ans = 0; for (int i = 0; i < 61; i += 2) { long long cyc = 1LL << i; if (a < cyc - 1) { continue; } vector<long long> d = {1, 2, 3}; long long x = a - cyc + 1; if (x < cyc * 3) {...
### Prompt In Cpp, your task is to solve the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](h...
#include <bits/stdc++.h> using namespace std; long long p[100007] = {0, 1, 2, 3, 4, 8, 12, 5, 10, 15, 6, 11, 13, 7, 9, 14}; long long cha[17] = {0, 1, 2, 3}; long long n, L; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long t; cin >> t; while (t--) { cin >> n; --n; ...
### Prompt Please formulate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; long long n; long long x, y, z, w; void init() { x = 0; y = 0; z = 0; w = 0; } long long sol(long long bs, long long i, long long z) { if (z == 0) return bs; long long t = (1ll << (z - 2)); long long t2 = (i - 1) / t; if (t2 == 0) return sol(bs, i, z - 2); ...
### Prompt Create a solution in Cpp for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; bool sort_func(const pair<long long, long long> &a, const pair<long long, long long> &b) { if (a.first == b.first) return a.second < b.second; return a.first < b.first; } long long f(long long a) { if (a == 0) return 0; if (a == 1) return 2; if (a =...
### Prompt Generate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; const long long INF(0x3f3f3f3f3f3f3f3fll); const long long inf(0x3f3f3f3f); template <typename T> void read(T &res) { bool flag = false; char ch; while (!isdigit(ch = getchar())) (ch == '-') && (flag = true); for (res = ch - 48; isdigit(ch = getchar()); res =...
### Prompt Please provide a CPP coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; long long int T, n, res, ex, res2, con; int main() { cin.tie(0); ios_base::sync_with_stdio(0); cin >> T; for (int t = 0; t < T; t++) { cin >> n; n--; res = n % 3; ex = res; res++; n /= 3; res2 = 0; con = 0; while (n != 0) { ...
### Prompt Please formulate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; const long long N = 1000; long long used[N], a[N]; signed main() { srand(123); long long cur = 1, cnt = 0; while (cur < 256) { while (used[cur]) cur++; for (long long i = cur + 1; i < N; i++) if ((cur ^ i) < N && !used[i] && !used[cur ^ i]) { cnt...
### Prompt Create a solution in CPP for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; int t; long long n; long long f(long long n) { long long x = 0, y = 0, z = 0; long long cnt = 0; long long g = (n - 1) / 3 + 1; long long r = (n - 1) % 3; long long p4 = 0; long long sum = 0; while ((1LL << (p4 * 2)) < g) { g -= (1LL << (p4 * 2)); p4++...
### Prompt Your task is to create a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR o...
#include <bits/stdc++.h> using namespace std; pair<int, int> conv[4] = {{0, 0}, {2, 3}, {3, 1}, {1, 2}}; vector<long long int> get(long long int k) { long long int s = 1; while (k >= s) { k -= s; s *= 4; } long long int a = s + k, b = 2 * s, c = 3 * s; for (int i = 0; (1LL << (2 * i)) < s; i++) { ...
### Prompt Create a solution in cpp for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; long long parse(string s) { long long k = 1, ret = 0; for (int i = 0; i < s.size(); i++) ret += k * (long long)(s[s.size() - i - 1] - '0'), k *= 4; return ret; } string change(string s) { string ret = s; for (int i = 0; i < ret.size(); i++) { if (ret[i] ==...
### Prompt Create a solution in cpp for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; long long T, n; long long getFirst(long long n) { long long cur = 4; while (n > cur) { n -= cur; cur *= 4; } return cur + n - 1; } long long getSecond(long long n) { long long cur = 4; while (n > cur) { n -= cur; cur *= 4; } n--; vector<lon...
### Prompt In cpp, your task is to solve the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](h...
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; const int inf = 1e9; const int mo = 998244353; int main() { int t; cin >> t; while (t--) { long long n; cin >> n; long long now = 0, base = 1; long long m = (n - 1) / 3 + 1; while (now + base < m) { now += base, base *...
### Prompt In Cpp, your task is to solve the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](h...
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 50; long long T; long long n, nn, a[4] = {0, 2, 3, 1}, b[4] = {0, 3, 1, 2}; int main() { scanf("%d", &T); while (T--) { scanf("%lld", &n); long long x = 1; while (n > x * 3) n -= x * 3, x <<= 2; if (n % 3 == 1) printf("%lld\n", ...
### Prompt Construct a Cpp code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; long long arr[4] = {1, 2, 3}; int32_t main() { long long t; cin >> t; while (t--) { long long n; cin >> n; long long nn = (n + 2) / 3; long long xx = 1, c = 0; while (nn > xx) nn -= xx, xx *= 4, c++; long long ad = ((n + 2) % 3 + 1) * xx; l...
### Prompt Generate a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> inline void chkmin(T1 &x, T2 y) { if (x > y) x = y; } template <typename T1, typename T2> inline void chkmax(T1 &x, T2 y) { if (x < y) x = y; } using ll = long long; using ld = long double; const string FILENAME = "input"; void solve(...
### Prompt Construct a CPP code solution to the problem outlined: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation]...
#include <bits/stdc++.h> using namespace std; unsigned long long next(unsigned long long n) { unsigned long long mask = 3; int k = 0; unsigned long long ret = 0; while (mask <= n || (mask & n) != 0) { unsigned long long cur_ret = n & mask; if (cur_ret != 0) { cur_ret += (1LL << k); cur_ret &...
### Prompt Your challenge is to write a CPP solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> int main() { int t, p; scanf("%d", &t); for (p = 1; p <= t; p++) { long long n; scanf("%lld", &n); if (n <= 3) { printf("%lld\n", n); continue; } long long m = n; long long base = 1; while (m > 0) { m = m / 4; base = base * 4; } ...
### Prompt In Cpp, your task is to solve the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](h...
#include <bits/stdc++.h> using namespace std; long long MOD = (1e9) + 7; const long long N = (1e6) + 5; signed main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long tc = 63; cin >> tc; for (long long ti = 1; ti <= tc; ti++) { long long n; cin >> n; long long s = 1LL...
### Prompt Generate a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](http...
#include <bits/stdc++.h> using namespace std; template <typename T> T sqr(T x) { return x * x; } template <typename T> T abs(T x) { return x < 0 ? -x : x; } template <typename T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; } template <typename T> bool chmin(T& x, const T& y) { if (x > y) { x = y; re...
### Prompt Your task is to create a Cpp solution to the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR o...
#include <bits/stdc++.h> using namespace std; int64_t trans[3][4] = { {0, 1, 2, 3}, {0, 2, 3, 1}, {0, 3, 1, 2}, }; int64_t solve(int64_t N) { N--; int64_t tripNum = N / 3; int numDig = 0; while (tripNum >= (int64_t(1) << (2 * numDig))) { tripNum -= (int64_t(1) << (2 * numDig)); numDig++; }...
### Prompt Develop a solution in cpp to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operati...
#include <bits/stdc++.h> using namespace std; int t; long long n, sum, x, multi, ans; vector<pair<int, int> > v; int main() { int i, k; scanf("%d", &t); while (t--) { scanf("%lld", &n); sum = 0; for (i = 0;; i++) { sum += 3 * (1LL << (i * 2)); if (sum >= n) break; } x = 3 * (1LL <<...
### Prompt Please provide a Cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; const int maxn = (int)1e6 + 100; const int mod = (int)1e9 + 7; long long ans[5]; void solve() { long long n; scanf("%lld", &n); if (n <= 3) return (void)printf("%lld\n", n); long long N = (n - 1) / 3 + 1, b = 1; for (; b < N; b *= 4) N -= b; ans[1] = N + b - 1, ...
### Prompt Create a solution in CPP for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; long long f(long long p, long long n, long long k) { if (k == 0) return p + n; if (k == 1) { for (int i = 0; i < 60; i += 2) { if ((n & (1ll << i)) != 0 and (n & (1ll << (i + 1))) != 0) { n -= (1ll << (i + 1)); } else if ((n & (1ll << i)) != 0 an...
### Prompt Create a solution in CPP for the following problem: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise XOR operation](ht...
#include <bits/stdc++.h> using namespace std; inline long long read() { long long x = 0, f = 1, c = getchar(); while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) { x = (x << 1) + (x << 3) + (c ^ 48); c = getchar(); } return f == 1 ? x : -x; } long long calc(long ...
### Prompt Please provide a Cpp coded solution to the problem described below: Consider the infinite sequence s of positive integers, created by repeating the following steps: 1. Find the lexicographically smallest triple of positive integers (a, b, c) such that * a βŠ• b βŠ• c = 0, where βŠ• denotes the [bitwise X...
#include <bits/stdc++.h> using namespace std; void solve() { int n, min; cin >> n; int a[n]; for (int i = 0; i < n; i++) cin >> a[i]; sort(a, a + n, greater<int>()); min = a[0] - a[1]; for (int i = 0; i < n - 1; i++) if (a[i] - a[i + 1] < min) min = a[i] - a[i + 1]; cout << min << endl; } int main()...
### Prompt Create a solution in CPP for the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least one...
#include <bits/stdc++.h> using namespace std; int main() { int t; cin >> t; for (int u = 0; u < t; u++) { int a[50], n, r; bool g = false; cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; sort(a, a + n); r = abs(a[0] - a[1]); for (int i = 1; i < n - 1; i++) { if (r > (a[i + 1] ...
### Prompt Please formulate a Cpp solution to the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at lea...
#include <bits/stdc++.h> using namespace std; const int M = 1e3 + 10; const int inf = 0x3f3f3f3f; int t, n, ans; int dp[M]; int main() { scanf("%d", &t); while (t--) { ans = inf; scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &dp[i]); sort(dp, dp + n); for (int i = 1; i < n; i++) ans =...
### Prompt Please provide a CPP coded solution to the problem described below: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must h...
#include <bits/stdc++.h> using namespace std; int main() { int test; cin >> test; while (test--) { int n; cin >> n; multiset<int> s; s.clear(); int m = 20000, mx, x; for (int i = 0; i < n; i++) { cin >> x; s.insert(x); } x = *s.begin(); while (!s.empty()) { s....
### Prompt Develop a solution in cpp to the problem described below: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at lea...
#include <bits/stdc++.h> using namespace std; int main() { int t, n, i, flag; cin >> t; while (t--) { int x = 10000; flag = 0; cin >> n; int s[n]; for (i = 0; i < n; i++) { cin >> s[i]; } sort(s, s + n); for (i = 0; i < n - 1; i++) { if (s[i] == s[i + 1]) { cout...
### Prompt Please formulate a CPP solution to the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at lea...
#include <bits/stdc++.h> using namespace std; int main() { int t; cin >> t; while (t--) { int n; cin >> n; int arr[n]; for (int i = 0; i < n; ++i) { cin >> arr[i]; } sort(arr, arr + n); int diff = arr[1] - arr[0]; for (int i = 1; i < n - 1; ++i) { if (arr[i + 1] - arr[i...
### Prompt Your task is to create a Cpp solution to the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have ...
#include <bits/stdc++.h> using namespace std; int main() { long long t, n, a, i, j; cin >> t; long long k[t]; for (i = 0; i < t; i++) { cin >> n; int x[n]; for (j = 0; j < n; j++) { cin >> x[j]; } sort(x, x + n); k[i] = x[1] - x[0]; for (j = 2; j < n; j++) { a = x[j] - x[...
### Prompt Your task is to create a CPP solution to the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have ...
#include <bits/stdc++.h> using namespace std; long long mod = 1000000007; long long inf = LLONG_MAX; long double pi = 3.1415926536; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; int tt = 1; cin >> tt; while (tt--) { long long n, x = 0, m = 0, y = 0, k = inf; cin >> n; l...
### Prompt Please create a solution in Cpp to the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at lea...
#include <bits/stdc++.h> using namespace std; const int maxn = 1e3 + 5; int t, n[maxn], s[maxn], difference[maxn]; int main() { cin >> t; for (int i = 0; i < t; i++) { cin >> n[i]; difference[i] = 10000; for (int j = 0; j < n[i]; j++) { cin >> s[j]; } sort(s, s + n[i]); for (int j = 1;...
### Prompt Please provide a Cpp coded solution to the problem described below: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must h...
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t, n, temp, c = 0, k = INT_MAX; vector<int> v; cin >> t; while (t--) { cin >> n; for (int i = 0; i < n; i++) { cin >> temp; v.push_back(temp); } sort(v.begin(),...
### Prompt Develop a solution in CPP to the problem described below: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at lea...
#include <bits/stdc++.h> using namespace std; bool func(vector<long long int> s1, vector<long long int> s2) { return s1[1] < s2[1]; } string sub(string s1, long long int i, long long int l) { string s2 = ""; for (long long int j = i; j <= l; j++) { s2 = s2 + s1[j]; } return s2; } long long int power(long ...
### Prompt In cpp, your task is to solve the following problem: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at least on...
#include <bits/stdc++.h> using namespace std; template <typename X> inline X sqr(const X& a) { return a * a; } int nxt() { int x; cin >> x; return x; } void solve() { int n = nxt(); vector<int> a(n); generate(a.begin(), a.end(), nxt); sort(a.begin(), a.end()); int ans = a[1] - a[0]; for (int i = 0; ...
### Prompt Develop a solution in cpp to the problem described below: There are n athletes in front of you. Athletes are numbered from 1 to n from left to right. You know the strength of each athlete β€” the athlete number i has the strength s_i. You want to split all athletes into two teams. Each team must have at lea...