-
Notifications
You must be signed in to change notification settings - Fork 0
/
E.cpp
363 lines (355 loc) · 7.11 KB
/
E.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
#define DEBUG 1
/**
* File : E.cpp
* Author : Kazune Takahashi
* Created : 2020/3/8 22:03:07
* Powered by Visual Studio Code
*/
#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <vector>
// ----- boost -----
#include <boost/rational.hpp>
#include <boost/multiprecision/cpp_int.hpp>
// ----- using directives and manipulations -----
using namespace std;
using boost::rational;
using boost::multiprecision::cpp_int;
using ll = long long;
template <typename T>
using max_heap = priority_queue<T>;
template <typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
// ----- constexpr for Mint and Combination -----
constexpr ll MOD{1000000007LL};
// constexpr ll MOD{998244353LL}; // be careful
constexpr ll MAX_SIZE{3000010LL};
// constexpr ll MAX_SIZE{30000010LL}; // if 10^7 is needed
// ----- ch_max and ch_min -----
template <typename T>
void ch_max(T &left, T right)
{
if (left < right)
{
left = right;
}
}
template <typename T>
void ch_min(T &left, T right)
{
if (left > right)
{
left = right;
}
}
// ----- Mint -----
template <ll MOD = MOD>
class Mint
{
public:
ll x;
Mint() : x{0LL} {}
Mint(ll x) : x{(x % MOD + MOD) % MOD} {}
Mint operator-() const { return x ? MOD - x : 0; }
Mint &operator+=(const Mint &a)
{
if ((x += a.x) >= MOD)
{
x -= MOD;
}
return *this;
}
Mint &operator-=(const Mint &a) { return *this += -a; }
Mint &operator++() { return *this += 1; }
Mint &operator++(int)
{
Mint tmp{*this};
++*this;
return tmp;
}
Mint &operator--() { return *this -= 1; }
Mint &operator--(int)
{
Mint tmp{*this};
--*this;
return tmp;
}
Mint &operator*=(const Mint &a)
{
(x *= a.x) %= MOD;
return *this;
}
Mint &operator/=(const Mint &a)
{
Mint b{a};
return *this *= b.power(MOD - 2);
}
Mint operator+(const Mint &a) const { return Mint(*this) += a; }
Mint operator-(const Mint &a) const { return Mint(*this) -= a; }
Mint operator*(const Mint &a) const { return Mint(*this) *= a; }
Mint operator/(const Mint &a) const { return Mint(*this) /= a; }
bool operator<(const Mint &a) const { return x < a.x; }
bool operator<=(const Mint &a) const { return x <= a.x; }
bool operator>(const Mint &a) const { return x > a.x; }
bool operator>=(const Mint &a) const { return x >= a.x; }
bool operator==(const Mint &a) const { return x == a.x; }
bool operator!=(const Mint &a) const { return !(*this == a); }
const Mint power(ll N)
{
if (N == 0)
{
return 1;
}
else if (N % 2 == 1)
{
return *this * power(N - 1);
}
else
{
Mint half = power(N / 2);
return half * half;
}
}
};
template <ll MOD>
Mint<MOD> operator+(ll lhs, const Mint<MOD> &rhs)
{
return rhs + lhs;
}
template <ll MOD>
Mint<MOD> operator-(ll lhs, const Mint<MOD> &rhs)
{
return -rhs + lhs;
}
template <ll MOD>
Mint<MOD> operator*(ll lhs, const Mint<MOD> &rhs)
{
return rhs * lhs;
}
template <ll MOD>
Mint<MOD> operator/(ll lhs, const Mint<MOD> &rhs)
{
return Mint<MOD>{lhs} / rhs;
}
template <ll MOD>
istream &operator>>(istream &stream, Mint<MOD> &a)
{
return stream >> a.x;
}
template <ll MOD>
ostream &operator<<(ostream &stream, const Mint<MOD> &a)
{
return stream << a.x;
}
// ----- Combination -----
template <ll MOD = MOD, ll MAX_SIZE = MAX_SIZE>
class Combination
{
public:
vector<Mint<MOD>> inv, fact, factinv;
Combination() : inv(MAX_SIZE), fact(MAX_SIZE), factinv(MAX_SIZE)
{
inv[1] = 1;
for (auto i = 2LL; i < MAX_SIZE; i++)
{
inv[i] = (-inv[MOD % i]) * (MOD / i);
}
fact[0] = factinv[0] = 1;
for (auto i = 1LL; i < MAX_SIZE; i++)
{
fact[i] = Mint<MOD>(i) * fact[i - 1];
factinv[i] = inv[i] * factinv[i - 1];
}
}
Mint<MOD> operator()(int n, int k)
{
if (n >= 0 && k >= 0 && n - k >= 0)
{
return fact[n] * factinv[k] * factinv[n - k];
}
return 0;
}
Mint<MOD> catalan(int x, int y)
{
return (*this)(x + y, y) - (*this)(x + y, y - 1);
}
};
// ----- for C++14 -----
using mint = Mint<MOD>;
using combination = Combination<MOD, MAX_SIZE>;
template <typename T>
T gcd(T x, T y) { return y ? gcd(y, x % y) : x; }
template <typename T>
T lcm(T x, T y) { return x / gcd(x, y) * y; }
// ----- for C++17 -----
template <typename T>
int popcount(T x) // C++20
{
int ans{0};
while (x != 0)
{
ans += x & 1;
x >>= 1;
}
return ans;
}
// ----- frequently used constexpr -----
// constexpr double epsilon{1e-10};
// constexpr ll infty{1000000000000000LL}; // or
// constexpr int infty{1'000'000'010};
// constexpr int dx[4] = {1, 0, -1, 0};
// constexpr int dy[4] = {0, 1, 0, -1};
// ----- Yes() and No() -----
void Yes()
{
cout << "Yes" << endl;
exit(0);
}
void No()
{
cout << "No" << endl;
exit(0);
}
// ----- main() -----
using field = vector<vector<int>>;
class Solve
{
int N, M;
int R, C;
vector<field> V;
public:
Solve(int N, int M) : N{N}, M{M}
{
R = (1 << N) - 1;
C = (1 << M) - 1;
if (R * C > 60)
{
exit(1);
}
all();
int maxi{max_score()};
cerr << "maxi = " << maxi << endl;
flush_score_ban(maxi);
/*
if (R == 1 && C == 1)
{
cout << 1 << endl;
return;
}
for (auto i = 0; i < R; ++i)
{
for (auto j = 0; j < C; ++j)
{
if (i == R / 2 && j == C / 2)
{
cout << 0;
}
else
{
cout << 1;
}
}
cout << endl;
}
*/
}
private:
void all()
{
ll X{1LL << (R * C)};
for (auto i = 0; i < X; ++i)
{
field ban(R, vector<int>(C, 0));
for (auto j = 0; j < R * C; ++j)
{
if ((i >> j) & 1)
{
ban[j / C][j % C] = 1;
}
}
V.push_back(ban);
}
}
int score(field const &ban)
{
int ans{0};
for (auto i = 0; i < R; ++i)
{
for (auto j = i + 1; j <= R; ++j)
{
for (auto k = 0; k < C; ++k)
{
for (auto l = k + 1; l <= C; ++l)
{
int t{0};
for (auto a = i; a < j; ++a)
{
for (auto b = k; b < l; ++b)
{
t += ban[a][b];
}
}
if (t % 2 == 1)
{
++ans;
}
}
}
}
}
return ans;
}
int max_score()
{
int ans{0};
for (auto const &ban : V)
{
ch_max(ans, score(ban));
}
return ans;
}
void flush_score_ban(int s)
{
for (auto const &ban : V)
{
if (score(ban) == s)
{
for (auto i = 0; i < R; ++i)
{
for (auto j = 0; j < C; ++j)
{
cout << ban[i][j];
}
cout << endl;
}
return;
}
}
}
};
int main()
{
int N, M;
cin >> N >> M;
Solve solve(N, M);
}