Submission #952082

# Submission time Handle Problem Language Result Execution time Memory
952082 2024-03-23T05:15:05 Z gaga999 Toxic Gene (NOI23_toxic) C++17
45.2235 / 100
67 ms 600 KB
// #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);

int dp[305][35], 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;
            int cg = INF;
            for (int t = 0; 1 << t <= nn; t++)
            {
                int l = 1 << t;
                int res = max(dp[nn - l][k], dp[nn - 1][k - 1] + t) + 1;
                int reg = min(dp[nn - l][k], dp[nn - 1][k - 1] + t) + 1;
                if (res == dp[nn][k] && reg < cg)
                    cg = reg, fr[nn][k] = l;
                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++ < 160);
        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(max(0, 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 = 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);
            slv(slv, qq);
            if (!--k)
                break;
        }
    }
    // assert(str[pos - 1] == 'T');
    qs.clear();
    bad = 0;
    for (int i = 1; i <= n; i++)
        if (!vd[i])
            qs.pb(i);
    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 1 ms 348 KB Output is correct
2 Partially correct 62 ms 592 KB Partially correct
3 Partially correct 65 ms 344 KB Partially correct
4 Partially correct 62 ms 348 KB Partially correct
5 Correct 42 ms 348 KB Output is correct
6 Correct 44 ms 348 KB Output is correct
7 Correct 42 ms 348 KB Output is correct
8 Correct 42 ms 348 KB Output is correct
9 Correct 44 ms 580 KB Output is correct
10 Correct 42 ms 348 KB Output is correct
11 Correct 43 ms 344 KB Output is correct
12 Partially correct 63 ms 348 KB Partially correct
13 Partially correct 62 ms 568 KB Partially correct
14 Partially correct 67 ms 344 KB Partially correct
15 Correct 42 ms 564 KB Output is correct
16 Correct 42 ms 344 KB Output is correct
17 Correct 42 ms 344 KB Output is correct
18 Correct 44 ms 600 KB Output is correct
19 Correct 42 ms 348 KB Output is correct
20 Correct 41 ms 564 KB Output is correct
21 Correct 41 ms 348 KB Output is correct
22 Partially correct 61 ms 348 KB Partially correct
23 Partially correct 67 ms 572 KB Partially correct
24 Partially correct 65 ms 568 KB Partially correct
25 Partially correct 64 ms 596 KB Partially correct
26 Partially correct 62 ms 348 KB Partially correct
27 Partially correct 65 ms 572 KB Partially correct
28 Partially correct 64 ms 344 KB Partially correct
29 Correct 43 ms 348 KB Output is correct
30 Correct 47 ms 592 KB Output is correct
31 Correct 42 ms 344 KB Output is correct
32 Correct 41 ms 344 KB Output is correct
33 Correct 40 ms 348 KB Output is correct
34 Partially correct 42 ms 348 KB Partially correct
35 Partially correct 41 ms 344 KB Partially correct
36 Partially correct 6 ms 500 KB Partially correct