QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#445177 | #8529. Balance of Permutation | ucup-team1198# | AC ✓ | 316ms | 22308kb | C++20 | 2.5kb | 2024-06-15 23:55:09 | 2024-06-15 23:55:13 |
Judging History
answer
#include <map>
#include <set>
#include <array>
#include <cmath>
#include <deque>
#include <bitset>
#include <random>
#include <string>
#include <vector>
#include <cassert>
#include <complex>
#include <iomanip>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>
using namespace std;
const int N = 33;
__int128 dp[N][N][N * N];
__int128 calc_rest(vector<int> p, int n, int b) {
for (int i = 0; i <= n; ++i) {
for (int k = 0; k <= n; ++k)
fill(dp[i][k], dp[i][k] + n * n, 0);
}
int m = p.size();
int bal = 0;
int free = 0;
vector<int> kek(n);
vector<int> has_in(n);
for (int i = 0; i < m; ++i) {
++has_in[p[i]];
if (p[i] >= i) {
--kek[p[i]];
++kek[i];
} else {
++kek[p[i]];
--kek[i];
}
}
int sum = 0;
for (int i = 0; i < m; ++i) {
sum += bal;
if (kek[i] > 0)
bal += 1;
if (kek[i] < -1)
bal -= 1;
}
dp[m][bal][sum] = 1;
int pref_sum = 0;
for (int i = 0; i < m; ++i)
pref_sum += has_in[i];
for (int i = m; i < n; ++i) {
for (int bal = 0; bal <= i; ++bal) {
for (int sum = 0; sum <= i * i; ++sum) {
int free = bal - m + pref_sum;
if (free < 0)
continue;
__int128 ans = dp[i][bal][sum];
if (!ans)
continue;
if (has_in[i]) {
if (bal > 0) {
dp[i + 1][bal - 1][sum + bal] += ans * bal;
}
dp[i + 1][bal][sum + bal] += ans;
} else {
if (bal > 0) {
dp[i + 1][bal - 1][sum + bal] += ans * bal * free;
}
dp[i + 1][bal + 1][sum + bal] += ans;
dp[i + 1][bal][sum + bal] += ans * (bal + free + 1);
}
}
}
pref_sum += has_in[i];
}
return dp[n][0][b / 2];
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, b;
string s;
cin >> n >> b >> s;
__int128 k = 0;
for (char c : s)
k = k * 10 + int(c - '0');
vector<int> ans;
vector<bool> free(n, true);
for (int i = 0; i < n; ++i) {
ans.emplace_back();
for (int j = 0; j < n; ++j) {
if (free[j]) {
ans[i] = j;
auto cur = calc_rest(ans, n, b);
if (cur < k) {
k -= cur;
} else {
free[j] = false;
break;
}
}
}
}
for (int x : ans)
cout << x + 1 << ' ';
cout << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 8004kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 163ms
memory: 21420kb
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: 3568kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5920kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5652kb
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: 1ms
memory: 7696kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 1ms
memory: 7624kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 1ms
memory: 7720kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 1ms
memory: 7860kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 1ms
memory: 7988kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 1ms
memory: 10056kb
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: 1ms
memory: 7972kb
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: 61ms
memory: 19428kb
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: 107ms
memory: 18536kb
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: 102ms
memory: 19444kb
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: 114ms
memory: 19368kb
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: 140ms
memory: 20536kb
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: 162ms
memory: 21472kb
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: 235ms
memory: 21156kb
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: 200ms
memory: 22308kb
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: 91ms
memory: 21804kb
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: 93ms
memory: 20960kb
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: 231ms
memory: 20900kb
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: 214ms
memory: 21256kb
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: 239ms
memory: 21356kb
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: 19ms
memory: 21584kb
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: 184ms
memory: 21860kb
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: 0
Accepted
time: 316ms
memory: 21156kb
input:
30 450 1710012252724199424000000
output:
30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
result:
ok 30 numbers
Test #30:
score: 0
Accepted
time: 262ms
memory: 21224kb
input:
30 450 1692383260428073656742269
output:
30 27 26 28 18 29 21 19 25 17 20 16 24 22 23 7 13 4 6 3 5 12 1 15 14 9 11 8 2 10
result:
ok 30 numbers
Test #31:
score: 0
Accepted
time: 232ms
memory: 21188kb
input:
30 302 5918364042599361729860937331200
output:
30 29 28 27 26 25 14 8 9 10 11 12 13 7 15 16 17 18 19 20 21 22 23 24 6 5 4 3 2 1
result:
ok 30 numbers
Test #32:
score: 0
Accepted
time: 158ms
memory: 21812kb
input:
30 254 2256781660157136563723839089600
output:
25 2 3 12 7 16 19 8 22 6 11 17 27 26 10 24 15 21 20 18 28 9 30 23 14 13 5 29 4 1
result:
ok 30 numbers
Test #33:
score: 0
Accepted
time: 276ms
memory: 21560kb
input:
30 448 3131906441000512625049600
output:
23 20 28 18 26 30 19 29 27 22 17 24 21 25 2 13 16 15 14 12 11 10 9 8 7 6 5 4 3 1
result:
ok 30 numbers
Test #34:
score: 0
Accepted
time: 23ms
memory: 20968kb
input:
30 2 20
output:
1 2 3 4 5 6 7 8 9 11 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
result:
ok 30 numbers
Test #35:
score: 0
Accepted
time: 24ms
memory: 21340kb
input:
30 2 29
output:
2 1 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
Extra Test:
score: 0
Extra Test Passed