Submission #814848

# Submission time Handle Problem Language Result Execution time Memory
814848 2023-08-08T10:31:48 Z marvinthang Ancient Machine 2 (JOI23_ancient2) C++17
100 / 100
44 ms 584 KB
/*************************************
*    author: marvinthang             *
*    created: 08.08.2023 11:02:57    *
*************************************/

#include "ancient2.h"
#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i-- > 0; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }

// end of template


namespace {

}  // namespace

#define Bitset bitset <800>

string Solve(int N) {
	int m = 102;
	int l = m - 2;
	int r = N - m + 1;
	vector <int> a(m), b(m);

	auto query = [&] {
		return Query(m, a, b);
	};

	string res(N, '0');

	REP(i, l) {
		REP(j, i) a[j] = b[j] = j + 1;
		a[i] = i + 1;
		b[i] = i + 2;
		a[i + 1] = b[i + 1] = i + 1;
		a[i + 2] = b[i + 2] = i + 2;
		res[i] += query() == i + 2;
	}

	FORD(i, N, r) {
		int sz = N - i;
		vector <int> kmp(sz + 1);
		vector <array <int, 2>> nxt(sz + 1);
		nxt[0][0] = 1;
		FORE(j, 1, sz) {
			if (j > 1) kmp[j] = nxt[kmp[j - 1]][res[i + j - 1] - '0'];
			REP(k, 2) nxt[j][k] = k == res[i + j] - '0' ? j + 1 : nxt[kmp[j]][k];
		}
		REP(i, sz + 1) {
			a[i] = nxt[i][0];
			b[i] = nxt[i][1];
		}
		res[i] += query() != sz;
	}

	int sz = r - l;
	vector <Bitset> basis(sz);
	auto Insert = [&] (Bitset bs) {
		REP(i, sz) if (bs[i]) {
			if (basis[i].none()) {
				basis[i] = bs;
				return true;
			}
			bs ^= basis[i];
		}
		return false;
	};

	int P = 51;

	vector <tuple <int, int>> ask;
	vector <Bitset> bp;
	ask.reserve(sz);
	bp.reserve(sz);

	FORE(p, 1, P) REP(q, p) {
		Bitset bs;
		for (int i = (l - q + p - 1) / p * p + q; i < r; i += p) bs[i - l] = 1;
		if (Insert(bs)) {
			ask.emplace_back(p, q);
			bp.push_back(bs);
			if (ask.size() == sz) break;
		}
	}

	REP(i, ask.size()) {
		auto [p, q] = ask[i];
		REP(i, p) {
			a[i] = i + 1 == p ? 0 : i + 1;
			a[i + p] = a[i] + p;
		}
		b = a;
		swap(b[q], b[p + q]);
		int v = query() >= p;
		for (int i = q; i < N; i += p) v ^= res[i] - '0';
		bp[i][sz] = v;
	}
	
	REP(i, sz) {
		FOR(j, i, sz) if (bp[j][i]) {
			swap(bp[i], bp[j]);
			break;
		}
		if (!bp[i][i]) {
			debug(i);
			return res;
		}
		REP(j, sz) if (j != i && bp[j][i]) bp[j] ^= bp[i];
	}

	REP(i, sz) res[i + l] += bp[i][sz];

	return res;
}

#ifdef LOCAL

namespace {

constexpr int N_MAX = 1000;
constexpr int M_MAX = 1002;
constexpr int Q_MAX = 1000;

int N;
char S[N_MAX + 1];

int query_count = 0;
int query_m_max = 0;

void WrongAnswer(int code) {
	printf("Wrong Answer [%d]\n", code);
	exit(0);
}
}  // namespace

int Query(int m, std::vector<int> a, std::vector<int> b) {
	if (++query_count > Q_MAX) WrongAnswer(7);
	if (!(1 <= m && m <= M_MAX)) WrongAnswer(4);
	if ((int)a.size() != m || (int)b.size() != m) WrongAnswer(5);
	for (int i = 0; i < m; i++) {
		if (!(0 <= a[i] && a[i] <= m - 1) || !(0 <= b[i] && b[i] <= m - 1))
			WrongAnswer(6);
	}
	if (m > query_m_max) query_m_max = m;
	int memory = 0;
	for (int i = 0; i < N; i++) {
		if (S[i] == '0') {
			memory = a[memory];
		}
		if (S[i] == '1') {
			memory = b[memory];
		}
	}
	return memory;
}

int main() {
	file("ancient2");
	if (scanf("%d", &N) != 1) {
		fprintf(stderr, "Error while reading input.\n");
		exit(1);
	}
	if (scanf("%s", S) != 1) {
		fprintf(stderr, "Error while reading input.\n");
		exit(1);
	}
	std::string s = Solve(N);
	if ((int)s.size() != N) WrongAnswer(1);
	for (int i = 0; i < N; i++) {
		if (!(s[i] == '0' || s[i] == '1')) WrongAnswer(2);
	}
	for (int i = 0; i < N; i++) {
		if (s[i] != S[i]) WrongAnswer(-i);
	}
	printf("Accepted: %d\n", query_m_max);
	printf("Point: %d\n", 10 + (1002 - query_m_max) * (1002 - query_m_max) / 9000);
	return 0;
}
#endif

Compilation message

ancient2.cpp: In function 'std::string Solve(int)':
ancient2.cpp:116:19: warning: comparison of integer expressions of different signedness: 'std::vector<std::tuple<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  116 |    if (ask.size() == sz) break;
      |        ~~~~~~~~~~~^~~~~
ancient2.cpp:34:24: warning: statement has no effect [-Wunused-value]
   34 |     #define debug(...) 23
      |                        ^~
ancient2.cpp:139:4: note: in expansion of macro 'debug'
  139 |    debug(i);
      |    ^~~~~
# Verdict Execution time Memory Grader output
1 Correct 29 ms 468 KB Output is correct
2 Correct 35 ms 472 KB Output is correct
3 Correct 33 ms 464 KB Output is correct
4 Correct 30 ms 464 KB Output is correct
5 Correct 44 ms 464 KB Output is correct
6 Correct 43 ms 472 KB Output is correct
7 Correct 30 ms 468 KB Output is correct
8 Correct 29 ms 464 KB Output is correct
9 Correct 30 ms 472 KB Output is correct
10 Correct 29 ms 472 KB Output is correct
11 Correct 38 ms 432 KB Output is correct
12 Correct 29 ms 472 KB Output is correct
13 Correct 29 ms 464 KB Output is correct
14 Correct 32 ms 440 KB Output is correct
15 Correct 33 ms 472 KB Output is correct
16 Correct 32 ms 472 KB Output is correct
17 Correct 37 ms 464 KB Output is correct
18 Correct 30 ms 428 KB Output is correct
19 Correct 35 ms 488 KB Output is correct
20 Correct 30 ms 476 KB Output is correct
21 Correct 28 ms 468 KB Output is correct
22 Correct 29 ms 420 KB Output is correct
23 Correct 31 ms 472 KB Output is correct
24 Correct 29 ms 484 KB Output is correct
25 Correct 37 ms 468 KB Output is correct
26 Correct 26 ms 436 KB Output is correct
27 Correct 29 ms 464 KB Output is correct
28 Correct 39 ms 464 KB Output is correct
29 Correct 31 ms 476 KB Output is correct
30 Correct 28 ms 472 KB Output is correct
31 Correct 30 ms 472 KB Output is correct
32 Correct 38 ms 464 KB Output is correct
33 Correct 28 ms 468 KB Output is correct
34 Correct 39 ms 472 KB Output is correct
35 Correct 29 ms 464 KB Output is correct
36 Correct 30 ms 476 KB Output is correct
37 Correct 35 ms 428 KB Output is correct
38 Correct 29 ms 484 KB Output is correct
39 Correct 29 ms 432 KB Output is correct
40 Correct 29 ms 432 KB Output is correct
41 Correct 30 ms 464 KB Output is correct
42 Correct 29 ms 432 KB Output is correct
43 Correct 34 ms 516 KB Output is correct
44 Correct 37 ms 472 KB Output is correct
45 Correct 30 ms 468 KB Output is correct
46 Correct 30 ms 476 KB Output is correct
47 Correct 30 ms 464 KB Output is correct
48 Correct 29 ms 428 KB Output is correct
49 Correct 30 ms 584 KB Output is correct
50 Correct 29 ms 472 KB Output is correct
51 Correct 29 ms 476 KB Output is correct
52 Correct 29 ms 464 KB Output is correct
53 Correct 29 ms 468 KB Output is correct
54 Correct 36 ms 472 KB Output is correct
55 Correct 29 ms 436 KB Output is correct
56 Correct 31 ms 464 KB Output is correct
57 Correct 29 ms 464 KB Output is correct
58 Correct 29 ms 468 KB Output is correct
59 Correct 29 ms 424 KB Output is correct
60 Correct 29 ms 436 KB Output is correct
61 Correct 28 ms 464 KB Output is correct
62 Correct 35 ms 488 KB Output is correct
63 Correct 38 ms 480 KB Output is correct