This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx,avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
#define lowbit(x) ((x) & -(x))
#define ml(a, b) ((1ll * (a) * (b)) % M)
#define tml(a, b) (a) = ((1ll * (a) * (b)) % M)
#define ad(a, b) ((0ll + (a) + (b)) % M)
#define tad(a, b) (a) = ((0ll + (a) + (b)) % M)
#define mi(a, b) ((0ll + M + (a) - (b)) % M)
#define tmi(a, b) (a) = ((0ll + M + (a) - (b)) % M)
#define tmin(a, b) (a) = min((a), (b))
#define tmax(a, b) (a) = max((a), (b))
#define iter(a) (a).begin(), (a).end()
#define riter(a) (a).rbegin(), (a).rend()
#define init(a, b) memset((a), (b), sizeof(a))
#define cpy(a, b) memcpy((a), (b), sizeof(a))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define size(x) (int)x.size()
#define pb emplace_back
#define mpr make_pair
#define ls(i) ((i) << 1)
#define rs(i) ((i) << 1 | 1)
#define INF 0x3f3f3f3f
#define NIF 0xc0c0c0c0
#define eps 1e-9
#define F first
#define S second
#define AC cin.tie(0)->sync_with_stdio(0)
using namespace std;
typedef long long llt;
typedef unsigned long long ull;
typedef __int128_t lll;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<llt, llt> pll;
typedef pair<llt, int> pli;
typedef complex<double> cd;
// const int M = 998244353;
// random_device rm;
// mt19937 rg(rm());
// default_random_engine rg(rm());
// uniform_int_distribution<int> rd(INT_MIN, INT_MAX);
// uniform_real_distribution<double> rd(0, M_PI);
void db() { cerr << "\n"; }
template <class T, class... U>
void db(T a, U... b) { cerr << a << " ", db(b...); }
inline char gc()
{
const static int SZ = 1 << 16;
static char buf[SZ], *p1, *p2;
if (p1 == p2 && (p2 = buf + fread(p1 = buf, 1, SZ, stdin), p1 == p2))
return -1;
return *p1++;
}
void rd() {}
template <typename T, typename... U>
void rd(T &x, U &...y)
{
x = 0;
bool f = 0;
char c = gc();
while (!isdigit(c))
f ^= !(c ^ 45), c = gc();
while (isdigit(c))
x = (x << 1) + (x << 3) + (c ^ 48), c = gc();
f && (x = -x), rd(y...);
}
template <typename T>
void prt(T x)
{
if (x < 0)
putchar('-'), x = -x;
if (x > 9)
prt(x / 10);
putchar((x % 10) ^ 48);
}
vector<int> construct_permutation(llt k)
{
vector<int> op;
while (k > 1)
{
if ((k & 3) == 3 && k ^ (lowbit(k ^ 3)) ^ 3)
op.pb(0), k ^= 3;
else if (k & 1)
op.pb(1), k ^= 1;
else
op.pb(-1), k >>= 1;
}
reverse(iter(op));
int n = size(op);
vector<int> res(n);
for (int i = 0; i < n; i++)
{
if (!op[i])
{
res[i] = 2;
for (int j = 0; j < i; j++)
if (res[j] >= 2)
res[j]++;
}
else if (~op[i])
{
res[i] = 0;
for (int j = 0; j < i; j++)
res[j]++;
}
else
res[i] = i;
}
return res;
}
// int ck(vector<int> &p)
// {
// int n = size(p), re = 0;
// for (int i = 0; i < 1 << n; i++)
// {
// bool ok = 1;
// vector<int> tp;
// for (int j = i; j; j -= lowbit(j))
// tp.pb(p[int(log2(lowbit(j)))]);
// for (int j = 1; j < size(tp); j++)
// if (tp[j - 1] > tp[j])
// ok = 0;
// re += ok;
// }
// return re;
// }
// signed main()
// {
// for (int i = 1; i < 16; i++)
// {
// vector<int> res = construct_permutation(i);
// for (int j : res)
// cerr << j << ' ';
// db();
// assert(ck(res) == i);
// }
// }
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