QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#468217 | #8529. Balance of Permutation | ucup-team3519# | TL | 6387ms | 29164kb | C++20 | 3.7kb | 2024-07-08 19:53:37 | 2024-07-08 19:53:37 |
Judging History
answer
#include <bits/stdc++.h>
using i128 = __int128_t;
template <typename Tp>
void read(Tp &res) {
char ch;
ch = std::cin.get();
while (!isdigit(ch)) {
ch = std::cin.get();
}
res = 0;
while (isdigit(ch)) {
res = res * 10 + int(ch - 48);
ch = std::cin.get();
}
}
constexpr int N = 30;
i128 dp[2][N * N + 1][N][N];
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n, b;
i128 k;
read(n), read(b), read(k);
std::vector<uint8_t> upper(n), lower(n);
std::vector<int> ans;
auto check = [&]() -> i128 {
memset(dp[1], 0, sizeof(dp[1]));
dp[1][0][0][0] = 1;
for (int i = 0; i < n; ++i) {
memset(dp[i & 1], 0, sizeof(dp[i & 1]));
for (int j = 0; j <= i * i; ++j) {
for (int a = 0; a <= i; ++a) {
for (int b = 0; b <= i; ++b) {
if (dp[i & 1 ^ 1][j][a][b] == 0) {
continue;
}
i128 val = dp[i & 1 ^ 1][j][a][b];
if (!upper[i] && !lower[i]) {
// null
dp[i & 1][j + a + b][a][b] += val;
// a -= 1 a += 1
dp[i & 1][j + a + b][a][b] += a * val;
// b -= 1 b += 1
dp[i & 1][j + a + b][a][b] += b * val;
// a -= 1 b -= 1
if (a && b) {
dp[i & 1][j + a + b][a - 1][b - 1] += a * b * val;
}
// a += 1 b += 1
dp[i & 1][j + a + b][a + 1][b + 1] += val;
} else if (!lower[i]) {
dp[i & 1][j + a + b][a + 1][b] += val;
if (b) {
dp[i & 1][j + a + b][a][b - 1] += b * val;
}
} else if (!upper[i]) {
dp[i & 1][j + a + b][a][b + 1] += val;
if (a) {
dp[i & 1][j + a + b][a - 1][b] += a * val;
}
} else {
dp[i & 1][j + a + b][a][b] += val;
}
}
}
}
}
return dp[(n - 1) & 1][b][0][0];
};
for (int i = 0; i < n; ++i) {
upper[i] = true;
for (int j = 0; j < n; ++j) {
if (!lower[j]) {
int tmp_b = b;
b -= abs(i - j);
if (b < 0) {
continue;
}
lower[j] = true;
i128 num = check();
// for (int p = 0; p < n; ++p) {
// std::cout << (int)upper[p];
// }
// std::cout << '\n';
// for (int p = 0; p < n; ++p) {
// std::cout << (int)lower[p];
// }
// std::cout << '\n';
// std::cout << "k, num = " << (int)k << ", " << (int)num << '\n';
if (k <= num) {
ans.push_back(j + 1);
break;
}
b = tmp_b;
k -= num;
lower[j] = false;
}
}
}
for (int i : ans) {
std::cout << i << ' ';
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 29ms
memory: 28864kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 6387ms
memory: 28868kb
input:
30 300 3030303030303030303030
output:
1 2 3 4 9 23 20 28 24 16 21 17 27 29 8 26 25 30 19 18 22 12 7 13 6 10 5 15 14 11
result:
ok 30 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 28880kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 4ms
memory: 28820kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 0ms
memory: 28868kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 27ms
memory: 28892kb
input:
5 8 3
output:
1 5 4 2 3
result:
ok 5 number(s): "1 5 4 2 3"
Test #7:
score: 0
Accepted
time: 71ms
memory: 28868kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 26ms
memory: 28884kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 69ms
memory: 28864kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 93ms
memory: 28936kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 84ms
memory: 28868kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 207ms
memory: 28864kb
input:
10 48 10001
output:
7 5 8 9 6 10 3 4 1 2
result:
ok 10 numbers
Test #13:
score: 0
Accepted
time: 197ms
memory: 28952kb
input:
10 42 10101
output:
3 9 6 8 10 5 7 2 1 4
result:
ok 10 numbers
Test #14:
score: 0
Accepted
time: 2886ms
memory: 29120kb
input:
25 300 1
output:
7 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 8 9 10 11 12 13
result:
ok 25 numbers
Test #15:
score: 0
Accepted
time: 5121ms
memory: 29128kb
input:
25 300 283788388040048639877
output:
25 24 23 22 21 20 19 18 17 16 11 12 13 14 15 10 9 8 7 5 6 4 2 1 3
result:
ok 25 numbers
Test #16:
score: 0
Accepted
time: 4570ms
memory: 29164kb
input:
26 302 105773752969551707419545
output:
19 22 25 13 17 18 23 20 10 26 16 6 5 11 14 12 24 4 3 21 1 15 7 8 2 9
result:
ok 26 numbers
Test #17:
score: 0
Accepted
time: 4626ms
memory: 29152kb
input:
27 308 8781128321749037280676555
output:
16 18 17 21 25 6 20 24 22 15 27 5 7 8 2 9 26 13 1 3 14 10 23 19 4 11 12
result:
ok 27 numbers
Test #18:
score: 0
Accepted
time: 5230ms
memory: 28928kb
input:
28 304 806517199954337651602356955
output:
12 17 5 16 23 26 25 15 20 2 19 7 22 24 6 13 11 10 28 8 1 21 18 14 27 3 4 9
result:
ok 28 numbers
Test #19:
score: 0
Accepted
time: 6198ms
memory: 28864kb
input:
29 322 40281026669581503094652149519
output:
16 21 10 25 17 29 9 28 2 8 26 27 22 4 3 5 18 14 19 1 23 20 15 11 13 7 6 12 24
result:
ok 29 numbers
Test #20:
score: -100
Time Limit Exceeded
input:
30 400 46479902466857426153849991132