QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#750909 | #8529. Balance of Permutation | IllusionaryDominance# | AC ✓ | 790ms | 20100kb | C++20 | 2.9kb | 2024-11-15 16:18:01 | 2024-11-15 16:18:02 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 32;
int n, b, c[N];
__int128 k;
__int128 dp[N][N][N * N];
template <class T>
void RI(T &t) {
char c = getchar();
for (t = 0; !isdigit(c); c = getchar());
for ( ; isdigit(c); c = getchar()) t = t * 10 + (c ^ 48);
}
vector<int>ans;
int vis[N];
void output(__int128 x) {
static int sta[40];
int tp = 0;
do sta[tp ++] = x % 10; while (x /= 10);
while (tp --) putchar(sta[tp] ^ 48);
}
__int128 DP(int _n, int b){
c[n + 1] = 0;
for (int i = n; i > 0; i --) {
c[i] = c[i + 1] + (!vis[i]);
}
memset(dp, 0, sizeof(dp));
dp[n + 1][0][0] = 1;
for (int i = n; i > 0; -- i){
if(vis[i] == 0) {
for (int j = 0; j + 1 <= n; ++ j)
for (int k = 0; k + i <= (n + 1) * n / 2; ++ k)
dp[i][j + 1][k + i] += dp[i + 1][j][k];
for (int j = 0; j <= n; ++ j)
for (int k = 0; k <= (n + 1) * n / 2; k ++) {
dp[i][j][k] += dp[i + 1][j][k] * (n - max(i, _n) - (c[i + 1] - j));
}
}else {
for (int j = 0; j <= n; ++ j)
for (int k = 0; k <= (n + 1) * n / 2; ++ k)
dp[i][j][k] = dp[i + 1][j][k];
}
if (i > _n) {
for (int j = 1; j <= n; ++ j)
for (int k = i; k <= (n + 1) * n / 2; ++ k)
dp[i][j - 1][k - i] += dp[i][j][k] * j;
}
for (int j = 0; j <= n; j ++) {
for (int k = i; k <= (n + 1) * n / 2; k ++) {
if (dp[i][j][k]) {
// fprintf(stderr, "i = %d, j = %d, k = %d, f = ", i, j, k); output(dp[i][j][k]); fprintf(stderr, "\n");
}
}
}
}
// fprintf(stderr, "_n = %d, b = %d, dp = ", _n, b); output(dp[1][0][b]); fprintf(stderr, "\n");
return dp[1][0][b];
}
void dfs(int _n, int b, __int128 k){
if(_n == 0) return;
int tot = 0;
for (int i = 1; i <= n; ++ i){
if(vis[i]) continue;
vis[i] = 1;
// fprintf(stderr, "_n = %d, i = %d\n", _n, i);
__int128 _dp = DP(n - _n + 1, b - max(0, i - (n - _n + 1)));
if(_dp >= k){
ans.push_back(i);
dfs(_n - 1, b - max(0, i - (n - _n + 1)), k);
break;
}
vis[i] = 0;
k -= _dp;
}
}
void solve(){
cin >> n >> b;
RI(k);
dfs(n, b >> 1, k);
cout << "\n";
for (int i:ans) cout << i << " ";
}
int main(){
// ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
int T = 1;
while(T --) solve();
// for (int i = 1; i <= 30; ++ i) cin >> vis[i];
// int tot = 0;
// for (int i = 1; i <= 30; ++ i) tot += max(vis[i] - i, 0);
// for (int j = i + 1; j <= 30; ++ j) tot += vis[i] > vis[j];
// cout << tot;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 9ms
memory: 19952kb
input:
6 6 6
output:
1 2 6 3 4 5
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 393ms
memory: 20028kb
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: 20016kb
input:
1 0 1
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 19956kb
input:
2 0 1
output:
1 2
result:
ok 2 number(s): "1 2"
Test #5:
score: 0
Accepted
time: 2ms
memory: 20016kb
input:
2 2 1
output:
2 1
result:
ok 2 number(s): "2 1"
Test #6:
score: 0
Accepted
time: 6ms
memory: 20096kb
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: 7ms
memory: 20100kb
input:
7 20 100
output:
3 6 7 4 1 5 2
result:
ok 7 numbers
Test #8:
score: 0
Accepted
time: 3ms
memory: 19960kb
input:
7 2 6
output:
2 1 3 4 5 6 7
result:
ok 7 numbers
Test #9:
score: 0
Accepted
time: 9ms
memory: 20016kb
input:
7 24 1
output:
4 5 6 7 1 2 3
result:
ok 7 numbers
Test #10:
score: 0
Accepted
time: 17ms
memory: 19952kb
input:
7 22 360
output:
7 6 4 3 5 2 1
result:
ok 7 numbers
Test #11:
score: 0
Accepted
time: 15ms
memory: 20088kb
input:
7 20 358
output:
5 7 2 4 6 3 1
result:
ok 7 numbers
Test #12:
score: 0
Accepted
time: 27ms
memory: 19948kb
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: 26ms
memory: 19996kb
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: 204ms
memory: 20028kb
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: 354ms
memory: 20016kb
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: 314ms
memory: 20072kb
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: 318ms
memory: 20072kb
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: 346ms
memory: 19948kb
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: 413ms
memory: 20016kb
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: 569ms
memory: 19912kb
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: 497ms
memory: 19948kb
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: 218ms
memory: 20012kb
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: 217ms
memory: 20020kb
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: 578ms
memory: 20068kb
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: 524ms
memory: 20012kb
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: 602ms
memory: 20076kb
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: 49ms
memory: 19948kb
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: 454ms
memory: 19948kb
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: 790ms
memory: 20076kb
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: 662ms
memory: 19984kb
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: 569ms
memory: 20080kb
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: 371ms
memory: 20016kb
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: 683ms
memory: 20020kb
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: 51ms
memory: 19948kb
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: 45ms
memory: 20080kb
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