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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#446276#8529. Balance of Permutationhos_lyricAC ✓107ms81696kbC++144.6kb2024-06-17 05:55:242024-06-17 05:55:24

Judging History

你现在查看的是最新测评结果

  • [2024-06-17 05:55:24]
  • 评测
  • 测评结果:AC
  • 用时:107ms
  • 内存:81696kb
  • [2024-06-17 05:55:24]
  • 提交

answer

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

// using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")


#ifndef LIBRA_OTHER_INT128_H_
#define LIBRA_OTHER_INT128_H_

#include <stdio.h>
#include <iostream>

constexpr unsigned __int128 toUInt128(const char *s) {
  unsigned __int128 x = 0;
  for (; *s; ++s) x = x * 10 + (*s - '0');
  return x;
}
constexpr __int128 toInt128(const char *s) {
  if (*s == '-') return -toInt128(s + 1);
  __int128 x = 0;
  for (; *s; ++s) x = x * 10 + (*s - '0');
  return x;
}
unsigned __int128 inUInt128() {
  static char buf[41];
  scanf("%s", buf);
  return toUInt128(buf);
}
__int128 inInt128() {
  static char buf[41];
  scanf("%s", buf);
  return toInt128(buf);
}

void out(unsigned __int128 x) {
  static char buf[41];
  int len = 0;
  do { buf[len++] = '0' + static_cast<int>(x % 10); } while (x /= 10);
  for (int i = len; --i >= 0; ) putchar(buf[i]);
}
void out(__int128 x) {
  if (x < 0) {
    putchar('-');
    out(-static_cast<unsigned __int128>(x));
  } else {
    out(static_cast<unsigned __int128>(x));
  }
}
std::ostream &operator<<(std::ostream &os, unsigned __int128 x) {
  static char buf[41];
  int len = 0;
  do { buf[len++] = '0' + static_cast<int>(x % 10); } while (x /= 10);
  for (int i = len; --i >= 0; ) os << buf[i];
  return os;
}
std::ostream &operator<<(std::ostream &os, __int128 x) {
  if (x < 0) {
    os << '-' << -static_cast<unsigned __int128>(x);
  } else {
    os << static_cast<unsigned __int128>(x);
  }
  return os;
}

#endif  // LIBRA_OTHER_INT128_H_


using INT = __int128;

int N;
vector<int> P;

// val, match, cost
INT dp[70][40][2010];

INT solve(int B) {
  if (B < 0) return false;
  vector<int> used(N, 0);
  for (int i = 0; i < N; ++i) if (~P[i]) {
    used[P[i]] = 1;
  }
  vector<pair<int, int>> es;
  for (int i = 0; i < N; ++i) {
    if (!~P[i]) es.emplace_back(i, 0);
    if (!used[i]) es.emplace_back(i, 1);
  }
  const int esLen = es.size();
  fill(dp[0][0], dp[0][0] + (B + 1), 0);
  dp[0][0][0] = 1;
  int xs[2] = {};
  int last = 0;
  for (int h = 0; h < esLen; ++h) {
    const int z = min(xs[0], xs[1]);
    for (int m = 0; m <= z + 2; ++m) {
      fill(dp[h + 1][m], dp[h + 1][m] + (B + 1), 0);
    }
    const int s = es[h].second;
    for (int m = 0; m <= z; ++m) {
      const int db = (es[h].first - last) * ((xs[0] - m) + (xs[1] - m));
      for (int b = 0; b + db <= B; ++b) if (dp[h][m][b]) {
        dp[h + 1][m][b + db] += dp[h][m][b];
        dp[h + 1][m + 1][b + db] += dp[h][m][b] * (xs[s ^ 1] - m);
      }
    }
    ++xs[s];
    last = es[h].first;
  }
  assert(xs[0] == xs[1]);
  const INT ret = dp[esLen][xs[0]][B];
if(N<=6)cerr<<COLOR("33")<<"[solve] "<<P<<" "<<B<<" = "<<ret<<COLOR()<<endl;
  return ret;
}

int main() {
  int B;
  INT K;
  for (; ~scanf("%d%d", &N, &B); ) {
    K = inInt128();
    
    P.assign(N, -1);
solve(B);
    int b = B;
    INT k = K;
    for (int i = 0; i < N; ++i) {
      const set<int> used(P.begin(), P.begin() + i);
      for (int a = 0; a < N; ++a) if (!used.count(a)) {
        P[i] = a;
        const INT res = solve(b - abs(a - i));
        if (k > res) {
          k -= res;
        } else {
          goto found;
        }
      }
      assert(false);
     found:{}
      b -= abs(P[i] - i);
    }
    
    for (int i = 0; i < N; ++i) {
      if (i) printf(" ");
      printf("%d", P[i] + 1);
    }
    puts("");
  }
  return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 18432kb

input:

6 6 6

output:

1 2 6 3 4 5

result:

ok 6 numbers

Test #2:

score: 0
Accepted
time: 36ms
memory: 79588kb

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: 1ms
memory: 8208kb

input:

1 0 1

output:

1

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 1ms
memory: 7912kb

input:

2 0 1

output:

1 2

result:

ok 2 number(s): "1 2"

Test #5:

score: 0
Accepted
time: 0ms
memory: 9956kb

input:

2 2 1

output:

2 1

result:

ok 2 number(s): "2 1"

Test #6:

score: 0
Accepted
time: 2ms
memory: 16116kb

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: 3ms
memory: 22232kb

input:

7 20 100

output:

3 6 7 4 1 5 2

result:

ok 7 numbers

Test #8:

score: 0
Accepted
time: 0ms
memory: 22252kb

input:

7 2 6

output:

2 1 3 4 5 6 7

result:

ok 7 numbers

Test #9:

score: 0
Accepted
time: 3ms
memory: 22216kb

input:

7 24 1

output:

4 5 6 7 1 2 3

result:

ok 7 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 22240kb

input:

7 22 360

output:

7 6 4 3 5 2 1

result:

ok 7 numbers

Test #11:

score: 0
Accepted
time: 2ms
memory: 22300kb

input:

7 20 358

output:

5 7 2 4 6 3 1

result:

ok 7 numbers

Test #12:

score: 0
Accepted
time: 0ms
memory: 28388kb

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: 28364kb

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: 22ms
memory: 67360kb

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: 30ms
memory: 67332kb

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: 31ms
memory: 69304kb

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: 33ms
memory: 73744kb

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: 35ms
memory: 75488kb

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: 45ms
memory: 77540kb

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: 78ms
memory: 81640kb

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: 75ms
memory: 79676kb

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: 11ms
memory: 79864kb

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: 7ms
memory: 79640kb

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: 84ms
memory: 79892kb

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: 80ms
memory: 81604kb

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: 77ms
memory: 79924kb

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: 0ms
memory: 81644kb

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: 78ms
memory: 79620kb

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: 107ms
memory: 79628kb

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: 96ms
memory: 81696kb

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: 52ms
memory: 79624kb

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: 30ms
memory: 79604kb

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: 94ms
memory: 79648kb

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: 3ms
memory: 81636kb

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: 6ms
memory: 79540kb

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