Submission #303279

# Submission time Handle Problem Language Result Execution time Memory
303279 2020-09-20T07:01:47 Z model_code Counting Mushrooms (IOI20_mushrooms) C++17
100 / 100
10 ms 552 KB
// decision-tree-endagorion
/*
 * Model solution for task mushrooms
 *
 * Author: Mikhail Tikhomirov
 */

#include "mushrooms.h"
#include <vector>
#include <string>
#include <map>
#include <cassert>

#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define forn(i, n) for (int i = 0; i < (int)(n); ++i)
#define for1(i, n) for (int i = 1; i <= (int)(n); ++i)
#define ford(i, n) for (int i = (int)(n) - 1; i >= 0; --i)
#define fore(i, a, b) for (int i = (int)(a); i <= (int)(b); ++i)

using namespace std;

typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vpi;
typedef vector<vi> vvi;
typedef long long i64;
typedef vector<i64> vi64;
typedef vector<vi64> vvi64;
typedef pair<i64, i64> pi64;
typedef double ld;

template<class T> bool uin(T &a, T b) { return a > b ? (a = b, true) : false; }
template<class T> bool uax(T &a, T b) { return a < b ? (a = b, true) : false; }

vi labels;
vvi lst;
int K = 110;

int ans;

void label(int p, int z) {
//    cerr << p << ' ' << z << '\n';
    labels[p] = z;
    lst[z].pb(p);
    if (!z) ++ans;
}

int p;
int z;
vi toQ;

string subs(string s, int mask) {
    for (char &c: s) if (c >= 'A' && c <= 'Z') c = (char)('0' + ((mask >> (c - 'A')) & 1));
    return s;
}

int eval(const string &s) {
    int ret = 0;
    forn(i, (int)s.size() - 1) ret += int(s[i] != s[i + 1]);
    return ret;
}

int query(string s) {
    vi v;
    vi ptr(2);
    for (char c: s) {
        if (c == '0' || c == '1') {
            int d = (c - '0') ^ z;
            assert(ptr[d] < (int)lst[d].size());
            v.pb(lst[d][ptr[d]++]);
        } else {
            int l = c - 'A';
            v.pb(toQ[l]);
        }
    }
    return use_machine(v);
}

map<vi, string> prec1 = {
    {{}, "A0B0C0DE"},
    {{1}, "CED"},
    {{2}, "DBE0A"},
    {{3}, "CB0E0DA1"},
    {{4}, "D0A0E0CB1"},
    {{5}, "DBCE1"},
    {{6}, "CED"}
};

map<vi, string> prec2 = {
    {{}, "ABCDE0"},
    {{1}, "B0"},
    {{1, 1}, "EADC"},
    {{2}, "CB0D"},
    {{2, 1}, "EADB"},
    {{2, 2}, "DAE0CB"},
    {{3}, "CB0D"},
    {{3, 1}, "EDB0"},
    {{3, 2}, "AED"},
    {{3, 3}, "ED"},
    {{4}, "B0"},
    {{4, 1}, "0EACD"}
};


void magic(map<vi, string> &m) {
    toQ.clear();
    forn(i, 5) toQ.pb(p + i);
    vi seq;
    map<string, int> res;
    while (m.count(seq)) {
        string s = m[seq];
        int x = query(s);
        res[s] = x;
        seq.pb(x);
    }
    vi goodM;
    forn(mask, 32) {
        bool ok = true;
        for (auto w: res) ok &= eval(subs(w.fi, mask)) == w.se;
        if (ok) goodM.pb(mask);
    }
    assert(goodM.size() == 1);
    int mask = goodM[0];
    forn(i, 5) label(p++, ((mask >> i) & 1) ^ z);
}

int count_mushrooms(int n) {
    labels = vi(n, -1);
    lst = vvi(2);
    p = 1;
    ans = 0;
    label(0, 0);
    while (p < n) {
        z = lst[0].size() > lst[1].size() ? 0 : 1;
        if (n - p < 5 || (int)lst[z].size() >= K) {
            vi m;
            int i = 0;
            while (p < n && i < (int)lst[z].size()) {
                m.pb(p++);
                m.pb(lst[z][i++]);
            }
            int x = use_machine(m);
            lst[z ^ (x & 1)].pb(m[0]);
            x = (x + 1) / 2;
            ans += (z ? x : i - x);
        } else magic(!lst[z ^ 1].empty() && lst[z].size() >= 3 ? prec1 : prec2);
    }
    return ans;
}

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 7 ms 384 KB Output is correct
8 Correct 6 ms 384 KB Output is correct
9 Correct 10 ms 384 KB Output is correct
10 Correct 7 ms 384 KB Output is correct
11 Correct 8 ms 448 KB Output is correct
12 Correct 8 ms 384 KB Output is correct
13 Correct 7 ms 356 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 9 ms 440 KB Output is correct
16 Correct 10 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 7 ms 384 KB Output is correct
19 Correct 9 ms 448 KB Output is correct
20 Correct 8 ms 444 KB Output is correct
21 Correct 10 ms 452 KB Output is correct
22 Correct 9 ms 448 KB Output is correct
23 Correct 9 ms 384 KB Output is correct
24 Correct 6 ms 384 KB Output is correct
25 Correct 7 ms 384 KB Output is correct
26 Correct 9 ms 460 KB Output is correct
27 Correct 10 ms 448 KB Output is correct
28 Correct 10 ms 384 KB Output is correct
29 Correct 10 ms 448 KB Output is correct
30 Correct 10 ms 504 KB Output is correct
31 Correct 7 ms 384 KB Output is correct
32 Correct 8 ms 444 KB Output is correct
33 Correct 9 ms 384 KB Output is correct
34 Correct 9 ms 452 KB Output is correct
35 Correct 10 ms 384 KB Output is correct
36 Correct 10 ms 384 KB Output is correct
37 Correct 10 ms 452 KB Output is correct
38 Correct 6 ms 452 KB Output is correct
39 Correct 6 ms 448 KB Output is correct
40 Correct 8 ms 384 KB Output is correct
41 Correct 7 ms 444 KB Output is correct
42 Correct 9 ms 448 KB Output is correct
43 Correct 10 ms 384 KB Output is correct
44 Correct 9 ms 384 KB Output is correct
45 Correct 10 ms 384 KB Output is correct
46 Correct 8 ms 448 KB Output is correct
47 Correct 10 ms 444 KB Output is correct
48 Correct 10 ms 452 KB Output is correct
49 Correct 10 ms 448 KB Output is correct
50 Correct 8 ms 452 KB Output is correct
51 Correct 8 ms 384 KB Output is correct
52 Correct 8 ms 384 KB Output is correct
53 Correct 6 ms 448 KB Output is correct
54 Correct 10 ms 452 KB Output is correct
55 Correct 9 ms 452 KB Output is correct
56 Correct 9 ms 444 KB Output is correct
57 Correct 9 ms 448 KB Output is correct
58 Correct 10 ms 436 KB Output is correct
59 Correct 10 ms 436 KB Output is correct
60 Correct 8 ms 384 KB Output is correct
61 Correct 8 ms 552 KB Output is correct
62 Correct 0 ms 256 KB Output is correct
63 Correct 1 ms 256 KB Output is correct
64 Correct 1 ms 256 KB Output is correct
65 Correct 0 ms 256 KB Output is correct
66 Correct 0 ms 256 KB Output is correct
67 Correct 0 ms 256 KB Output is correct
68 Correct 1 ms 256 KB Output is correct
69 Correct 0 ms 256 KB Output is correct
70 Correct 0 ms 256 KB Output is correct
71 Correct 1 ms 256 KB Output is correct
72 Correct 0 ms 256 KB Output is correct
73 Correct 0 ms 256 KB Output is correct
74 Correct 1 ms 256 KB Output is correct
75 Correct 1 ms 256 KB Output is correct
76 Correct 1 ms 256 KB Output is correct
77 Correct 0 ms 256 KB Output is correct
78 Correct 0 ms 256 KB Output is correct
79 Correct 0 ms 256 KB Output is correct
80 Correct 0 ms 256 KB Output is correct
81 Correct 1 ms 256 KB Output is correct
82 Correct 1 ms 256 KB Output is correct
83 Correct 0 ms 256 KB Output is correct
84 Correct 0 ms 256 KB Output is correct
85 Correct 1 ms 256 KB Output is correct
86 Correct 1 ms 256 KB Output is correct
87 Correct 0 ms 256 KB Output is correct
88 Correct 0 ms 256 KB Output is correct
89 Correct 0 ms 256 KB Output is correct
90 Correct 0 ms 256 KB Output is correct
91 Correct 1 ms 256 KB Output is correct