QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#375675 | #8529. Balance of Permutation | ucup-team1209# | TL | 7347ms | 644884kb | C++20 | 2.4kb | 2024-04-03 14:47:04 | 2024-04-03 14:47:05 |
Judging History
answer
#include<bits/stdc++.h>
using std::cin;
using std::cout;
using ll = long long;
using i128 = __int128;
const int N = 35;
int n, b;
i128 k;
i128 dp[N * 2][N][N][N * N / 2];
i128 calc(std::vector<std::pair<int, int>> v, int b) {
if(b < 0) return 0;
int n = v.size();
int c0 = 0;
int c1 = 0;
dp[0][0][0][0] = 1;
for(int i = 0;i < n;++i) {
auto [c, col] = v[i];
int s = 0;
if(i) s = v[i].first - v[i - 1].first;
assert(s >= 0);
for(int x = 0;x <= c0;++x) {
for(int y = 0;y <= c1;++y) {
const int add = s * (x + y);
if(col) {
for(int z = 0;z + add <= b;++z) {
dp[i + 1][x][y + 1][z + s * (x + y)] += dp[i][x][y][z];
}
if(x > 0) {
for(int z = 0;z + add <= b;++z) {
dp[i + 1][x - 1][y][z + s * (x + y)] += dp[i][x][y][z] * x;
}
}
} else {
for(int z = 0;z + add <= b;++z) {
dp[i + 1][x + 1][y][z + s * (x + y)] += dp[i][x][y][z];
}
if(y > 0) {
for(int z = 0;z + add <= b;++z) {
dp[i + 1][x][y - 1][z + s * (x + y)] += dp[i][x][y][z] * y;
}
}
}
}
}
++ (col ? c1 : c0);
}
i128 res = dp[n][0][0][b];
for(int i = 0;i <= n;++i) {
for(int x = 0;x <= c0;++x) {
for(int y = 0;y <= c1;++y) {
memset(dp[i][x][y], 0, (b + 1) * sizeof(i128));
}
}
}
return res;
}
int ans[N];
void getk(int i, int mask, int sum, i128 k) {
if(i == n) {
for(int x = 0;x < n;++x) {
cout << ans[x] + 1 << " \n"[i == n - 1];
}
return ;
}
for(int x = 0;x < n;++x) {
if(mask >> x & 1) {
ans[i] = x;
int _sum = sum + std::abs(x - i);
std::vector<std::pair<int, int>> v;
for(int z = i + 1;z < n;++z) {
v.emplace_back(z, 0);
}
for(int z = 0;z < n;++z) if((mask >> z & 1) && z != x) {
v.emplace_back(z, 1);
}
sort(v.begin(), v.end());
i128 count = calc(v, b - _sum);
if(k > count) {
k -= count;
} else {
ans[i] = x;
getk(i + 1, mask ^ (1 << x), _sum, k);
return ;
}
}
}
}
int main() {
std::ios::sync_with_stdio(false), cin.tie(0);
// printf("%d\n", sizeof(dp) >> 20);
std::string s;
cin >> n >> b >> s;
for(char c : s) k = k * 10 + (c & 15);
/*
std::vector<std::pair<int, int>> v;
for(int i = 0;i < n;++i) {
v.emplace_back(i, 0);
v.emplace_back(i, 1);
}
cout << (ll) calc(v, b) << '\n';
*/
getk(0, (1 << n) - 1, 0, k);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 42640kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 2165ms
memory: 579604kb
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: 3628kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 1ms
memory: 7640kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 1ms
memory: 7904kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 0ms
memory: 32492kb
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: 0ms
memory: 55192kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 0ms
memory: 50796kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 4ms
memory: 54932kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 0ms
memory: 52880kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 0ms
memory: 55148kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 7ms
memory: 99920kb
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: 0ms
memory: 96096kb
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: 1493ms
memory: 426196kb
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: 2445ms
memory: 435956kb
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: 2451ms
memory: 465700kb
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: 2680ms
memory: 489244kb
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: 2754ms
memory: 522944kb
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: 3786ms
memory: 563644kb
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: 0
Accepted
time: 6729ms
memory: 613788kb
input:
30 400 46479902466857426153849991132
output:
25 19 30 29 9 20 26 21 14 27 28 10 22 11 24 2 7 4 18 17 5 13 12 6 8 1 15 23 16 3
result:
ok 30 numbers
Test #21:
score: 0
Accepted
time: 6731ms
memory: 612764kb
input:
30 450 1140008168482799670544355
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 3 5 9 4 8 14 10 6 11 12 15 7 13
result:
ok 30 numbers
Test #22:
score: 0
Accepted
time: 849ms
memory: 535268kb
input:
30 150 480087379811286955791425915
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 6 14 23 21 24 26 27 22 19 29
result:
ok 30 numbers
Test #23:
score: 0
Accepted
time: 894ms
memory: 535228kb
input:
30 150 480087379811286955791439470
output:
7 4 8 5 16 3 1 12 13 11 9 10 15 25 18 17 20 30 28 2 19 6 22 24 21 23 26 14 29 27
result:
ok 30 numbers
Test #24:
score: 0
Accepted
time: 7347ms
memory: 626472kb
input:
30 440 41509275104334759322587324
output:
22 23 20 24 18 30 19 26 21 28 4 29 17 25 27 16 3 1 2 5 8 13 10 15 7 12 9 14 11 6
result:
ok 30 numbers
Test #25:
score: 0
Accepted
time: 6791ms
memory: 644884kb
input:
30 450 1140008168482800727111311
output:
26 16 17 18 19 20 21 22 23 24 25 27 28 29 30 1 2 5 7 14 4 15 8 11 3 13 10 9 6 12
result:
ok 30 numbers
Test #26:
score: 0
Accepted
time: 6930ms
memory: 638260kb
input:
30 400 52289890275214604423031772929
output:
26 27 29 21 28 16 18 11 2 25 24 23 6 30 20 13 17 10 15 4 9 12 8 22 19 1 5 7 3 14
result:
ok 30 numbers
Test #27:
score: 0
Accepted
time: 4ms
memory: 562532kb
input:
30 0 1
output:
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
result:
ok 30 numbers
Test #28:
score: 0
Accepted
time: 6224ms
memory: 639272kb
input:
30 450 1
output:
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
result:
ok 30 numbers
Test #29:
score: -100
Time Limit Exceeded
input:
30 450 1710012252724199424000000