// #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 pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<llt, llt> pll;
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);
}
// int query_sample(vector<int> species){};
// void answer_type(int x, char c){};
int query_sample(vector<int> species);
void answer_type(int x, char c);
double dp[305][35];
int fr[305][35]; // remain curlen num
void determine_type(int n)
{
mt19937 rnd(time(NULL));
for (int nn = 1; nn <= 300; nn++)
{
for (int k = 1; k <= 30; k++)
{
dp[nn][k] = INF;
for (int t = 0; 1 << t <= nn; t++)
{
int l = 1 << t;
double rt = dp[nn - 1][k - 1] + t + 1;
double rn = dp[nn - l][k] + 1;
double res = 0;
double p = pow((nn - k / l - l / 2) / double(nn), l);
res += rn * p + rt * (1 - p);
if (res <= dp[nn][k]) //<=
dp[nn][k] = res, fr[nn][k] = l;
}
}
}
int k = min(30, n), pos = 0;
vector<int> qs, cr(n), ans(n + 1);
vector<bool> vd(n + 1);
iota(iter(cr), 1);
int bad = 0;
auto del = [&](const vector<int> &qy) -> void
{
for (int i : qy)
{
assert(!vd[i]);
if (!ans[i])
qs.pb(i);
else
{
vd[i] = 1;
char c = ans[i] > 0 ? 'R' : 'S';
// assert(str[i - 1] == c);
answer_type(i, c);
}
}
};
auto qry = [&](const vector<int> &qy) -> int
{
assert(bad++ < 301);
int ln = size(qy), res = 0;
if (ln > 8)
res = query_sample(qy);
else
{
vector<int> tp;
for (int i = 0; i < ln; i++)
for (int j = 1 << i; j > 0; j--)
tp.pb(qy[i]);
shuffle(iter(qs), rnd);
int kk = min(8 - ln, size(qs));
vector<int> ck(kk);
for (int i = 0; i < kk; i++)
{
assert(!qs.empty());
ck[i] = qs.back(), qs.pop_back();
for (int j = 1 << (i + ln); j > 0; j--)
tp.pb(ck[i]);
}
int re = query_sample(tp);
for (int i = 0; i < ln; i++)
if ((re >> i) & 1)
res++;
if (res != ln)
{
for (int i = 0; i < ln; i++)
{
// assert(!vd[qy[i]]);
if ((re >> i) & 1)
{
assert(!vd[qy[i]]);
// assert(str[qy[i] - 1] == 'S');
answer_type(qy[i], 'S'), vd[qy[i]] = 1;
}
else
ans[qy[i]] = 1;
}
for (int i = 0; i < kk; i++)
{
// assert(!vd[ck[i]]);
char c = ((re >> (i + ln)) & 1) ? 'S' : 'R';
// assert(str[ck[i] - 1] == c);
assert(!vd[ck[i]]);
answer_type(ck[i], c);
re &= ~(1 << (i + ln)), vd[ck[i]] = 1;
}
}
else
for (int i = 0; i < kk; i++)
qs.pb(ck[i]);
}
if (!res)
for (int i : qy)
ans[i] = 1;
if (res == ln - 1)
for (int i : qy)
ans[i] = -1;
return res;
};
auto slv = [&](auto &slv, vector<int> &qy) -> void
{
for (int i : qy)
assert(!vd[i]);
if (size(qy) == 1)
{
// db("okk");
assert(!vd[qy[0]]);
// assert(str[qy[0] - 1] == 'T');
answer_type(qy[0], 'T');
vd[qy[0]] = 1, pos = qy[0];
return;
}
shuffle(iter(qy), rnd);
vector<int> tp;
while (size(qy) > size(tp))
tp.pb(qy.back()), qy.pop_back();
int ln = size(tp);
int res = qry(tp);
if (res == ln)
{
for (int i : tp)
assert(!vd[i]);
del(tp), slv(slv, qy);
}
else
{
for (int i : qy)
cr.pb(i);
qy.clear();
for (int i : tp)
if (!vd[i])
qy.pb(i);
slv(slv, qy);
}
};
while (!cr.empty())
{
// int ln = min(size(cr), 6);
int ln = fr[size(cr)][k];
assert(ln <= size(cr)); //
shuffle(iter(cr), rnd);
vector<int> tp(ln);
for (int i = 0; i < ln; i++)
tp[i] = cr.back(), cr.pop_back();
int res = qry(tp);
if (res == ln)
{
// db("delll", ln, size(cr), k);
for (int i : tp)
assert(!vd[i]);
del(tp);
}
else
{
// db("find t");
vector<int> qq;
for (int i : tp)
if (!vd[i])
qq.pb(i);
// assert(bad - pbad <= log2(ln));
slv(slv, qq);
if (!--k)
break;
}
}
// assert(str[pos - 1] == 'T');
for (int i : cr)
qs.pb(i);
bad = 0;
while (!qs.empty())
qry(vector<int>(1, pos));
// for (int i = 1; i <= n; i++)
// assert(vd[i]);
assert(pos);
}
// signed main() {}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
344 KB |
Output is correct |
| 2 |
Correct |
224 ms |
604 KB |
Output is correct |
| 3 |
Correct |
203 ms |
604 KB |
Output is correct |
| 4 |
Correct |
206 ms |
612 KB |
Output is correct |
| 5 |
Correct |
199 ms |
604 KB |
Output is correct |
| 6 |
Correct |
198 ms |
600 KB |
Output is correct |
| 7 |
Correct |
204 ms |
612 KB |
Output is correct |
| 8 |
Correct |
200 ms |
600 KB |
Output is correct |
| 9 |
Correct |
208 ms |
604 KB |
Output is correct |
| 10 |
Correct |
200 ms |
776 KB |
Output is correct |
| 11 |
Correct |
197 ms |
604 KB |
Output is correct |
| 12 |
Correct |
206 ms |
600 KB |
Output is correct |
| 13 |
Correct |
202 ms |
604 KB |
Output is correct |
| 14 |
Correct |
203 ms |
604 KB |
Output is correct |
| 15 |
Correct |
201 ms |
604 KB |
Output is correct |
| 16 |
Correct |
198 ms |
608 KB |
Output is correct |
| 17 |
Correct |
200 ms |
604 KB |
Output is correct |
| 18 |
Correct |
199 ms |
600 KB |
Output is correct |
| 19 |
Correct |
198 ms |
600 KB |
Output is correct |
| 20 |
Correct |
198 ms |
856 KB |
Output is correct |
| 21 |
Correct |
203 ms |
600 KB |
Output is correct |
| 22 |
Correct |
200 ms |
604 KB |
Output is correct |
| 23 |
Correct |
201 ms |
600 KB |
Output is correct |
| 24 |
Correct |
212 ms |
612 KB |
Output is correct |
| 25 |
Correct |
206 ms |
604 KB |
Output is correct |
| 26 |
Correct |
203 ms |
612 KB |
Output is correct |
| 27 |
Correct |
202 ms |
612 KB |
Output is correct |
| 28 |
Correct |
202 ms |
612 KB |
Output is correct |
| 29 |
Correct |
199 ms |
608 KB |
Output is correct |
| 30 |
Correct |
201 ms |
612 KB |
Output is correct |
| 31 |
Correct |
213 ms |
604 KB |
Output is correct |
| 32 |
Correct |
199 ms |
604 KB |
Output is correct |
| 33 |
Correct |
199 ms |
600 KB |
Output is correct |
| 34 |
Correct |
199 ms |
608 KB |
Output is correct |
| 35 |
Correct |
198 ms |
604 KB |
Output is correct |
| 36 |
Correct |
24 ms |
348 KB |
Output is correct |
