QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#202369 | #6644. Red Black Grid | arseny_y# | AC ✓ | 88ms | 25612kb | C++23 | 6.4kb | 2023-10-05 23:39:11 | 2023-10-05 23:39:11 |
Judging History
answer
//I wrote this code 4 u today
#include <bits/stdc++.h>
template<class t> using vc = std::vector<t>;
#define nd node*
#define pnd pair<nd, nd>
//using namespace std;
typedef long long ll;
template<const ll MOD>
struct mod_mul : std::multiplies<const ll> {
ll operator()(const ll a, const ll b) {
return (a * b) % MOD;
}
};
template<typename T>
inline void sort(T &a) {
sort(a.begin(), a.end());
}
template<typename T>
inline void unique(T &a) {
a.resize(unique(a.begin(), a.end()) - a.begin());
}
template<typename T>
inline void reverse(T &a) {
reverse(a.begin(), a.end());
}
const ll INF = 9023372036854775808ll;
const ll MOD = 1000000007ll;
std::pair<int, int> q[4] = {{0, 1},
{1, 0},
{0, -1},
{-1, 0}};
int a[3005][3005];
int max = 0;
int n, k;
int lz = 0;
bool hra = false;
bool ger(int i, int j, int dep = 0) {
// if (dep > 6) return false;
if (j == n) ++i, j = 0;
if (i == n) {
return false;
}
if (max < k) return false;
if (max == k) {
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) std::cout << (a[i][j] ? 'B' : 'R');
std::cout << '\n';
}
return true;
}
int hru1 = 0;
for (auto [d1, d2]: q) {
int i1 = i + d1, j1 = j + d2;
if (i1 != -1 && j1 != -1 && i1 != n && j1 != n) hru1 += a[i][j] != a[i1][j1];
}
a[i][j] ^= 1;
int hru2 = 0;
for (auto [d1, d2]: q) {
int i1 = i + d1, j1 = j + d2;
if (i1 != -1 && j1 != -1 && i1 != n && j1 != n) hru2 += a[i][j] != a[i1][j1];
}
a[i][j] ^= 1;
if (hru2 < hru1) {
max += hru2 - hru1;
a[i][j] ^= 1;
if (ger(i, j + 1, dep + 1)) return true;
a[i][j] ^= 1;
max -= hru2 - hru1;
if (ger(i, j + 1, dep + 1)) return true;
} else {
if (ger(i, j + 1, dep + 1)) return true;
a[i][j] ^= 1;
max += hru2 - hru1;
if (ger(i, j + 1, dep + 1)) return true;
a[i][j] ^= 1;
max -= hru2 - hru1;
}
return false;
}
vc<std::array<int, 3>> x;
bool da[3005 * 3005 * 2];
int cnt = 0;
int sui = 0;
bool gen(int i = 0) {
if (cnt == k) {
for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) a[i][j] = 0;
for (int i = 0; i < x.size(); ++i) if (da[i]) a[x[i][1]][x[i][2]] = 1;
for (int i = 0; i < n; ++i) {
std::string s;
for (int j = 0; j < n; ++j) s.push_back(a[i][j] ? 'R' : 'B');
std::cout << s << '\n';
}
return true;
}
if (cnt > k) return false;
if (i == x.size()) {
return false;
}
da[i] = 1;
cnt += x[i][0];
if (gen(i + 1)) return true;
da[i] = 0;
cnt -= x[i][0];
if (gen(i + 1)) return true;
return false;
}
bool heh(int cnt) {
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
a[i][j] = 0;
if ((i + j) % 2 && cnt) {
--cnt;
a[i][j] = 1;
}
}
}
max = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
max += (j + 1 != n && a[i][j] != a[i][j + 1]) + (i + 1 != n && a[i][j] != a[i + 1][j]);
}
}
return max >= k;
}
int main() {
std::cin.tie(nullptr)->ios_base::sync_with_stdio(false);
int t;
std::cin >> t;
while (t--) {
std::cin >> n >> k;
// for (n = 1; n <= 100; ++n) {
// for (k = 1; k <= 20; ++k) {
// std::cout << n << ' ' << k << '\n';
// n = 4, k = 3;
// n = 5, k =35;
// n = 4, k = 20;
if (n <= 3) {
int hex = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
a[i][j] = 0;
if (max < k && (i + j) % 2) {
a[i][j] = 1;
}
hex += i != n - 1;
hex += j != n - 1;
}
}
int lo = -1, hi = n * n + 5;
while (hi - lo > 1) {
int mi = (lo + hi) / 2;
if (heh(mi)) hi = mi;
else lo = mi;
}
hi += 3;
hi = std::min(hi, n * n / 2);
heh(hi);
// std::cout << max << '\n';
if (k > hex || k == hex - 1 || k == 1) {
std::cout << "Impossible\n";
// gen(0, 0);
} else {
std::cout << "Possible\n";
assert(ger(0, 0));
}
continue;
}
int hex = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
hex += i != n - 1;
hex += j != n - 1;
a[i][j] = 0;
}
}
if (k > hex || k == hex - 1 || k == 1) {
std::cout << "Impossible\n";
// gen(0, 0);
} else {
std::cout << "Possible\n";
x.clear();
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if ((i + j + 1) % 2) {
if (i % (n - 1) == 0 && j % (n - 1) == 0) x.push_back({2, i, j});
else if (i % (n - 1) == 0 || j % (n - 1) == 0) x.push_back({3, i, j});
else x.push_back({4, i, j});
}
}
}
cnt = 0;
std::sort(x.begin(), x.end());
std::reverse(x.begin(), x.end());
vc<int> q(5);
for (auto [c, i, j]: x) q[c]++;
for (auto [c, i, j]: x) {
// ->5;
if (c == 3 && q[c] == 1 && (k % 2 == cnt % 2)) continue;
if (c + cnt <= k && k - (c + cnt) != 1) {
a[i][j] = 1;
cnt += c;
--q[c];
}
}
if (k != cnt) {
std::cout << n << ' ' << k << '\n';
}
assert(k == cnt);
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) std::cout << (a[i][j] ? 'B' : 'R');
std::cout << '\n';
}
}
//
// }
}
// }
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5628kb
input:
2 3 6 3 1
output:
Possible BRR RBR RRR Impossible
result:
ok correct! (2 test cases)
Test #2:
score: 0
Accepted
time: 26ms
memory: 7972kb
input:
4424 1 0 2 4 2 3 2 2 2 1 2 0 3 12 3 11 3 10 3 9 3 8 3 7 3 6 3 5 3 4 3 3 3 2 3 1 3 0 4 24 4 23 4 22 4 21 4 20 4 19 4 18 4 17 4 16 4 15 4 14 4 13 4 12 4 11 4 10 4 9 4 8 4 7 4 6 4 5 4 4 4 3 4 2 4 1 4 0 5 40 5 39 5 38 5 37 5 36 5 35 5 34 5 33 5 32 5 31 5 30 5 29 5 28 5 27 5 26 5 25 5 24 5 23 5 22 5 21 5...
output:
Possible R Possible RB BR Impossible Possible BB BR Impossible Possible RR RR Possible RBR BRB RBR Impossible Possible BBR BRB RBR Possible BRR BRB RBR Possible BRR RRB RBR Possible BRR RRB BRR Possible BRR RBR RRR Possible BRR RRR RBR Possible BRR RRR BRR Possible BRR BRR BRR Possible BRR RRR RRR I...
result:
ok correct! (4424 test cases)
Test #3:
score: 0
Accepted
time: 79ms
memory: 21940kb
input:
1 1000 0
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #4:
score: 0
Accepted
time: 0ms
memory: 18160kb
input:
1 1000 1
output:
Impossible
result:
ok correct! (1 test case)
Test #5:
score: 0
Accepted
time: 84ms
memory: 25612kb
input:
1 1000 1998000
output:
Possible BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB...
result:
ok correct! (1 test case)
Test #6:
score: 0
Accepted
time: 0ms
memory: 17964kb
input:
1 1000 1997999
output:
Impossible
result:
ok correct! (1 test case)
Test #7:
score: 0
Accepted
time: 84ms
memory: 24884kb
input:
1 1000 1638091
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #8:
score: 0
Accepted
time: 78ms
memory: 24808kb
input:
1 1000 726743
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #9:
score: 0
Accepted
time: 79ms
memory: 24408kb
input:
1 1000 1159802
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #10:
score: 0
Accepted
time: 87ms
memory: 23068kb
input:
1 1000 1824691
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #11:
score: 0
Accepted
time: 88ms
memory: 23048kb
input:
1 1000 1606348
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #12:
score: 0
Accepted
time: 52ms
memory: 5968kb
input:
100 100 3588 100 16278 100 14222 100 3818 100 16278 100 2672 100 7447 100 5705 100 9385 100 19205 100 16362 100 14175 100 327 100 18201 100 3519 100 14923 100 5358 100 17389 100 8773 100 7611 100 2185 100 3314 100 2358 100 18271 100 9499 100 12584 100 8079 100 16954 100 12620 100 16333 100 7148 100 ...
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (100 test cases)
Test #13:
score: 0
Accepted
time: 66ms
memory: 13264kb
input:
10 280 56983 468 47999 111 964 346 192134 60 3108 348 98521 421 57292 24 310 29 1080 484 17366
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRR...
result:
ok correct! (10 test cases)
Test #14:
score: 0
Accepted
time: 59ms
memory: 11100kb
input:
13 44 3612 468 9437 171 34192 174 33316 121 15295 249 1231 84 9464 170 56598 358 183525 369 42656 29 595 226 74474 296 34671
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRR RRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRR RRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRR RRBRBRBRBRBRBRBRBRBRB...
result:
ok correct! (13 test cases)
Test #15:
score: 0
Accepted
time: 40ms
memory: 7756kb
input:
792 43 1432 33 1687 39 1872 49 906 41 27 49 1140 41 2730 39 1350 33 1625 26 986 26 1079 29 377 50 2930 24 536 28 874 44 1659 36 46 26 1199 46 1289 50 1662 48 59 20 90 37 2025 40 1971 31 443 31 511 36 1940 29 1515 21 104 24 432 23 337 38 2222 36 1016 24 786 23 737 50 1728 45 2032 22 183 50 416 44 375...
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (792 test cases)