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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#385675#7766. 栞valeriu100 ✓81ms12252kbC++203.5kb2024-04-10 23:01:442024-04-10 23:01:44

Judging History

你现在查看的是最新测评结果

  • [2024-04-10 23:01:44]
  • 评测
  • 测评结果:100
  • 用时:81ms
  • 内存:12252kb
  • [2024-04-10 23:01:44]
  • 提交

answer

#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
using namespace std;

using ll = long long;
using ld = long double;

//#define int ll
#define sz(x) ((int)(x).size())

using pii = pair<int,int>;
using tii = tuple<int,int,int>;

const int mod = 998244353;
struct Mint {
  int val;
  Mint(ll x = 0): val((x % mod + mod) % mod) {;}
  Mint operator +(const Mint& x) { return Mint(val + x.val); }
  Mint operator -(const Mint& x) { return Mint(val - x.val); }
  Mint operator *(const Mint& x) { return Mint((ll)val * x.val); }
  Mint operator +=(const Mint& x) { return *this = Mint(val + x.val); }
  Mint operator -=(const Mint& x) { return *this = Mint(val - x.val); }
  Mint operator *=(const Mint& x) { return *this = Mint((ll)val * x.val); }
  Mint operator ^(const int& _b) const {
    Mint accum = 1, a = *this;
    int b = _b;
    while(b) {
      accum = (b & 1? accum * a : accum);
      a *= a;
      b >>= 1;
    }
    return accum;
  }
  Mint operator /(const Mint& x) { return Mint((ll)val * (x ^ (mod - 2)).val); }
  Mint operator /=(const Mint& x) { return *this = Mint((ll)val * (x ^ (mod - 2)).val); }
};

const int nmax = 1e3 + 5;

int disconcerting[nmax][nmax];
Mint dp[nmax][nmax];
bool vizited[nmax][nmax];

Mint fact[nmax];
Mint imperfect[nmax];

int n;
vector<int> v;

Mint recurr(int suff, int k) { // e enervanta asimetria asta
   if(suff == n + 1) {
      if(k == 0) return 1;
      return 0;
   }
   if(vizited[suff][k]) return dp[suff][k];
   
   if(n - suff + 1 == k) return 1;
   
   vizited[suff][k] = 1;
   
   //if(suff == 4 && k == 2) cerr << disconcerting[suff][v[suff]] << '\n';
   
   if(disconcerting[suff][v[suff]]) { // il aduceai mai devreme daca puteai, deci era in sufixul prost; ai largit sufixul, a intrat in prefix bun (de unde ""poti"" sa muti elemente); daca nu il muti, ramane ceva din ochelari "mai mare" decat maximul anterior. Deci mai bine il muti
                                      // e si unic!! (?)
      dp[suff][k] = fact[n - suff + 1 - k];
      
      for(int i = suff + 1; i <= n - k + 1; i++)
          dp[suff][k] *= Mint(1 - disconcerting[suff][v[i]]);
      for(int i = suff + 1; i <= n - k + 1; i++)
         if(v[i] < v[i - 1]) return dp[suff][k] = 0;
      return dp[suff][k];
   }
   
   if(k == 1) {
      for(int i = suff + 1; i <= n; i++) {
         if(v[i] < v[i - 1]) return dp[suff][k] = 0;
      }
      return dp[suff][k] = fact[n - suff + 1];
   }
   
   if(!(*max_element(v.begin(), v.begin() + suff) == suff - 1)) return dp[suff][k] = 0;
   int lst = -1;
   for(int i = suff; i <= n - k + 1; i++) {
      if(v[i] < lst) break;
      lst = v[i];
      dp[suff][k] += recurr(i + 1, k - 1) * imperfect[i - suff + 1];
   }
   return dp[suff][k];
}

signed main() {
   cin.tie(0) -> sync_with_stdio(0);
   int k;
   cin >> n;
   cin >> k;
   
   v = vector<int>(n + 1, 0);
   for(auto &x : v | views::drop(1)) cin >> x;
   
   fact[0] = 1;
   for(int i = 1; i <= n; i++) {
      fact[i] = fact[i - 1] * i;
      imperfect[i] = fact[i];
      for(int dim = 1; dim < i; dim++)
         imperfect[i] -= imperfect[dim] * fact[i - dim];
      
      //cerr << imperfect[i].val << ' ';
      
      int mx = *max_element(v.begin(), v.begin() + i);
      for(int j = i; j <= n; j++)
         disconcerting[i][v[j]] = v[j] <= mx;
   }
   
   //imperfect[1] = 0;
   
   cout << recurr(1, k).val << '\n';
   
   
   
}

/**
  Anul asta nu se da centroid
  -- Rugaciunile mele
*/


Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 0ms
memory: 9828kb

input:

6 1
1 2 3 4 5 6

output:

720

result:

ok 1 number(s): "720"

Test #2:

score: 0
Accepted
time: 1ms
memory: 9764kb

input:

6 3
1 2 5 3 4 6

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 1ms
memory: 8276kb

input:

6 3
1 2 4 3 6 5

output:

3

result:

ok 1 number(s): "3"

Test #4:

score: 0
Accepted
time: 1ms
memory: 7868kb

input:

6 5
1 2 3 5 4 6

output:

4

result:

ok 1 number(s): "4"

Test #5:

score: 0
Accepted
time: 1ms
memory: 8024kb

input:

6 5
1 2 3 5 4 6

output:

4

result:

ok 1 number(s): "4"

Test #6:

score: 0
Accepted
time: 1ms
memory: 8356kb

input:

6 4
1 3 2 4 6 5

output:

3

result:

ok 1 number(s): "3"

Test #7:

score: 0
Accepted
time: 0ms
memory: 9880kb

input:

6 5
1 3 2 5 4 6

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 0ms
memory: 7752kb

input:

6 3
1 2 3 6 5 4

output:

13

result:

ok 1 number(s): "13"

Test #9:

score: 0
Accepted
time: 0ms
memory: 7884kb

input:

6 4
1 2 5 4 3 6

output:

3

result:

ok 1 number(s): "3"

Test #10:

score: 0
Accepted
time: 0ms
memory: 7720kb

input:

6 3
1 2 5 4 3 6

output:

0

result:

ok 1 number(s): "0"

Subtask #2:

score: 20
Accepted

Dependency #1:

100%
Accepted

Test #11:

score: 20
Accepted
time: 0ms
memory: 9880kb

input:

9 9
1 2 3 4 5 6 7 8 9

output:

1

result:

ok 1 number(s): "1"

Test #12:

score: 0
Accepted
time: 1ms
memory: 9888kb

input:

9 3
1 2 3 4 5 6 9 7 8

output:

3447

result:

ok 1 number(s): "3447"

Test #13:

score: 0
Accepted
time: 0ms
memory: 8020kb

input:

9 7
1 3 2 4 6 5 7 8 9

output:

3

result:

ok 1 number(s): "3"

Test #14:

score: 0
Accepted
time: 1ms
memory: 9852kb

input:

9 5
1 2 3 4 5 6 7 9 8

output:

531

result:

ok 1 number(s): "531"

Test #15:

score: 0
Accepted
time: 0ms
memory: 8256kb

input:

9 9
1 4 3 2 5 6 7 8 9

output:

1

result:

ok 1 number(s): "1"

Test #16:

score: 0
Accepted
time: 1ms
memory: 8156kb

input:

9 2
1 2 3 4 5 6 7 9 8

output:

29093

result:

ok 1 number(s): "29093"

Test #17:

score: 0
Accepted
time: 1ms
memory: 9780kb

input:

9 4
1 2 3 4 5 6 7 9 8

output:

2109

result:

ok 1 number(s): "2109"

Test #18:

score: 0
Accepted
time: 0ms
memory: 8588kb

input:

9 8
1 2 3 5 4 7 6 8 9

output:

4

result:

ok 1 number(s): "4"

Test #19:

score: 0
Accepted
time: 1ms
memory: 8096kb

input:

9 7
1 2 3 4 5 7 6 9 8

output:

23

result:

ok 1 number(s): "23"

Test #20:

score: 0
Accepted
time: 1ms
memory: 9896kb

input:

9 7
1 2 3 4 5 7 6 9 8

output:

23

result:

ok 1 number(s): "23"

Subtask #3:

score: 30
Accepted

Test #21:

score: 30
Accepted
time: 32ms
memory: 10504kb

input:

500 369
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

151242732

result:

ok 1 number(s): "151242732"

Test #22:

score: 0
Accepted
time: 69ms
memory: 10728kb

input:

500 261
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

175105582

result:

ok 1 number(s): "175105582"

Test #23:

score: 0
Accepted
time: 61ms
memory: 12176kb

input:

500 79
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

328555836

result:

ok 1 number(s): "328555836"

Test #24:

score: 0
Accepted
time: 50ms
memory: 10712kb

input:

500 306
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

738246233

result:

ok 1 number(s): "738246233"

Test #25:

score: 0
Accepted
time: 56ms
memory: 11136kb

input:

500 291
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

90157368

result:

ok 1 number(s): "90157368"

Test #26:

score: 0
Accepted
time: 66ms
memory: 12172kb

input:

500 268
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

582110163

result:

ok 1 number(s): "582110163"

Test #27:

score: 0
Accepted
time: 55ms
memory: 11352kb

input:

500 295
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

551109392

result:

ok 1 number(s): "551109392"

Test #28:

score: 0
Accepted
time: 76ms
memory: 12200kb

input:

500 137
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

709320534

result:

ok 1 number(s): "709320534"

Test #29:

score: 0
Accepted
time: 54ms
memory: 11124kb

input:

500 66
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...

output:

735053639

result:

ok 1 number(s): "735053639"

Test #30:

score: 0
Accepted
time: 75ms
memory: 10336kb

input:

500 233
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

676167049

result:

ok 1 number(s): "676167049"

Subtask #4:

score: 40
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Test #31:

score: 40
Accepted
time: 81ms
memory: 10916kb

input:

500 198
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

830163792

result:

ok 1 number(s): "830163792"

Test #32:

score: 0
Accepted
time: 3ms
memory: 10832kb

input:

500 432
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 78 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

409343845

result:

ok 1 number(s): "409343845"

Test #33:

score: 0
Accepted
time: 41ms
memory: 12192kb

input:

500 265
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

194041644

result:

ok 1 number(s): "194041644"

Test #34:

score: 0
Accepted
time: 73ms
memory: 10976kb

input:

500 173
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

526227080

result:

ok 1 number(s): "526227080"

Test #35:

score: 0
Accepted
time: 4ms
memory: 11276kb

input:

500 483
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

614441401

result:

ok 1 number(s): "614441401"

Test #36:

score: 0
Accepted
time: 43ms
memory: 12252kb

input:

500 243
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

284882224

result:

ok 1 number(s): "284882224"

Test #37:

score: 0
Accepted
time: 30ms
memory: 12108kb

input:

500 282
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

308933889

result:

ok 1 number(s): "308933889"

Test #38:

score: 0
Accepted
time: 28ms
memory: 10736kb

input:

500 231
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

131213230

result:

ok 1 number(s): "131213230"

Test #39:

score: 0
Accepted
time: 0ms
memory: 10968kb

input:

500 415
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 100 99 ...

output:

590026968

result:

ok 1 number(s): "590026968"

Test #40:

score: 0
Accepted
time: 9ms
memory: 11980kb

input:

500 344
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...

output:

124432123

result:

ok 1 number(s): "124432123"