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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#444123#8529. Balance of Permutationucup-team3890#AC ✓391ms20120kbC++202.3kb2024-06-15 17:25:112024-06-15 17:25:11

Judging History

你现在查看的是最新测评结果

  • [2024-06-15 17:25:11]
  • 评测
  • 测评结果:AC
  • 用时:391ms
  • 内存:20120kb
  • [2024-06-15 17:25:11]
  • 提交

answer

#include <iostream>

using LLL = __int128_t;

int n, b;
LLL k;
void read(LLL &x){
	// read a __int128 variable
	char c; bool f = 0;
	while(((c = getchar()) < '0' || c > '9') && c != '-');
	if(c == '-'){f = 1; c = getchar();}
	x = c - '0';
	while((c = getchar()) >= '0' && c <= '9')x = x * 10 + c - '0';
	if(f) x = -x;
}

bool el[37], er[37];
int ul[37], ur[37];
LLL dp[37][37][907];

void DP() {
  for (int i = 0; i <= n; ++i) {
    for (int j = 0; j <= i; ++j) {
      for (int k = 0; k <= i * i; ++k) {
        dp[i][j][k] = 0;
      }
    }
  }
  dp[0][0][0] = 1;
  for (int i = 1; i <= n; ++i) {
    ul[i] = ul[i - 1] + el[i], ur[i] = ur[i - 1] + er[i];
  }
  for (int i = 0; i < n; ++i) {
    for (int j = 0; j <= i; ++j) {
      for (int k = 0; k <= i * i; ++k) {
        int lc = j, rc = ur[i] - (ul[i] - j);
        int kk = k + lc + rc;
        // 左部右部都不匹配
        dp[i + 1][lc + el[i + 1]][kk] += dp[i][j][k]; 
        if (el[i + 1] && rc) {
          // 选右部一个线头和左部的 i + 1 匹配,右部 i + 1 不匹配 
          dp[i + 1][lc][kk] += dp[i][j][k] * rc;
        }
        if (er[i + 1] && lc) {
          // 选左部一个线头和右部的 i + 1 匹配,左部 i + 1 不匹配 
          dp[i + 1][lc - 1 + el[i + 1]][kk] += dp[i][j][k] * lc;
        }
        if (el[i + 1] && er[i + 1]) {
          if (lc && rc) {
            // 选左部一个线头和右部的 i + 1 匹配,选右部一个线头和左部的 i + 1 匹配
            dp[i + 1][lc - 1][kk] += dp[i][j][k] * lc * rc;
          }
          // 左部和右部匹配
          dp[i + 1][lc][kk] += dp[i][j][k];
        }
      }
    }
  }
}

int p[37];
LLL prefix[37];

int main() {
  std::cin >> n >> b, read(k);
  for (int i = 1; i <= n; ++i) {
    el[i] = er[i] = 1;
  }
  for (int i = 1; i <= n; ++i) {
    el[i] = 0;
    for (int j = 1; j <= n; ++j) {
      prefix[j] = prefix[j - 1];
      if (er[j] == 0 || std::abs(i - j) > b) {
        continue;
      }
      er[j] = 0;
      DP();
      prefix[j] += dp[n][0][b - std::abs(i - j)];
      if (k <= prefix[j]) {
        p[i] = j;
        k -= prefix[j - 1], b -= std::abs(i - j);
        break;
      }
      er[j] = 1;
    }
  }
  for (int i = 1; i <= n; ++i) {
    std::cout << p[i] << ' ';
  }
  std::cout << '\n';
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 7724kb

input:

6 6 6

output:

1 2 6 3 4 5 

result:

ok 6 numbers

Test #2:

score: 0
Accepted
time: 251ms
memory: 20052kb

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: 3552kb

input:

1 0 1

output:

1 

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5668kb

input:

2 0 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5672kb

input:

2 2 1

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5756kb

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: 7708kb

input:

7 20 100

output:

3 6 7 4 1 5 2 

result:

ok 7 numbers

Test #8:

score: 0
Accepted
time: 1ms
memory: 7728kb

input:

7 2 6

output:

2 1 3 4 5 6 7 

result:

ok 7 numbers

Test #9:

score: 0
Accepted
time: 0ms
memory: 7644kb

input:

7 24 1

output:

4 5 6 7 1 2 3 

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 7792kb

input:

7 22 360

output:

7 6 4 3 5 2 1 

result:

ok 7 numbers

Test #11:

score: 0
Accepted
time: 1ms
memory: 7712kb

input:

7 20 358

output:

5 7 2 4 6 3 1 

result:

ok 7 numbers

Test #12:

score: 0
Accepted
time: 1ms
memory: 7724kb

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: 2ms
memory: 9840kb

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: 95ms
memory: 17884kb

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: 132ms
memory: 17904kb

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: 150ms
memory: 17912kb

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: 167ms
memory: 17920kb

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: 203ms
memory: 19928kb

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: 244ms
memory: 20004kb

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: 326ms
memory: 20120kb

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: 306ms
memory: 20068kb

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: 168ms
memory: 20016kb

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: 169ms
memory: 20032kb

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: 331ms
memory: 20072kb

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: 316ms
memory: 20024kb

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: 334ms
memory: 19952kb

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: 36ms
memory: 20012kb

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: 289ms
memory: 20084kb

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: 391ms
memory: 17944kb

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: 347ms
memory: 20012kb

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: 316ms
memory: 20088kb

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: 260ms
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: 364ms
memory: 20028kb

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: 38ms
memory: 20024kb

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: 41ms
memory: 20096kb

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