QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#750909#8529. Balance of PermutationIllusionaryDominance#AC ✓790ms20100kbC++202.9kb2024-11-15 16:18:012024-11-15 16:18:02

Judging History

你现在查看的是最新测评结果

  • [2024-11-15 16:18:02]
  • 评测
  • 测评结果:AC
  • 用时:790ms
  • 内存:20100kb
  • [2024-11-15 16:18:01]
  • 提交

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