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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#251033#7766. 栞jeroenodb100 ✓57ms7752kbC++204.3kb2023-11-14 05:15:312023-11-14 05:15:32

Judging History

你现在查看的是最新测评结果

  • [2023-11-14 05:15:32]
  • 评测
  • 测评结果:100
  • 用时:57ms
  • 内存:7752kb
  • [2023-11-14 05:15:31]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x),end(x)
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#define debug(a) cerr << "(" << #a << ": " << a << ")\n";
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int mxN = 1e3+1, oo = 1e9;
const long long MD = 998244353;
template<long long MOD=MD> struct mdint {
    int d=0;
    mdint () {d=0;}
    mdint (long long _d) : d(_d%MOD){
        if(d<0) d+=MOD;
    };
    friend mdint& operator+=(mdint& a, const mdint& o) {
        a.d+=o.d; if(a.d>=MOD) a.d-=MOD;
        return a;
    }
    friend mdint& operator-=(mdint& a, const mdint& o) {
        a.d-=o.d; if(a.d<0) a.d+=MOD;
        return a;
    }
    friend mdint& operator*=(mdint& a, const mdint& o) {
        return a = mdint((ll)a.d*o.d);
    }
    mdint operator*(const mdint& o) const {
        mdint res = *this;
        res*=o;
        return res;
    }
    mdint operator+(const mdint& o) const {
        mdint res = *this;
        res+=o;
        return res;
    }
    mdint operator-(const mdint& o) const {
        mdint res = *this;
        res-=o;
        return res;
    }
    mdint operator^(long long b) const {
        mdint tmp = 1;
        mdint power = *this;
        while(b) {
            if(b&1) {
                tmp = tmp*power;
            }
            power = power*power;
            b/=2;
        }
        return tmp;
    }
    friend mdint operator/=(mdint& a, const mdint& o) {
        a *= (o^(MOD-2));
        return a;
    }
    mdint operator/(const mdint& o) {
        mdint res = *this;
        res/=o;
        return res;
    }
    bool operator==(const mdint& o) { return d==o.d;}
    bool operator!=(const mdint& o) { return d!=o.d;}
    friend istream& operator>>(istream& c, mdint& a) {return c >> a.d;}
    friend ostream& operator<<(ostream& c, const mdint& a) {return c << a.d;}
};
using  mint = mdint<MD>;
const int mxF = 2e3+2;
mint fact[mxF], ifact[mxF];
mint ncr(int a, int b) {
    if(b>a or a<0 or b<0) return 0;
    return fact[a]*ifact[b]*ifact[a-b];
}
void precomp() {
    fact[0]=1;
    for(int i=1;i<mxF;++i) {
        fact[i]=fact[i-1]*i;
    }
    ifact[mxF-1] = mint(1)/fact[mxF-1];
    for(int i=mxF-2;i>=0;--i) {
        ifact[i]=ifact[i+1]*(i+1);
    }
}
mint dp[mxN][mxN],nopartition[mxN];
int main() {
    precomp();
    int n,k; cin >> n >> k;
    vi q(n);
    for(int i=0;i<n;++i) {
        cin >> q[i];
    }
    vvi who(n);
    int mx=0;
    for(int i=1;i<=n;++i) {
        mx = max(mx,q[i-1]);
        for(int j=1;j<=mx;++j) if(!count(q.begin(),q.begin()+i,j)) {
            who[i].push_back(j);
        }

    }
    for(int i=1;i<=n;++i) {
        nopartition[i] = fact[i];
        for(int j=1;j<i;++j) {
            nopartition[i]-=nopartition[j]*fact[i-j];
        }
    }
    dp[k][0]=1;
    bool inside[mxN] = {};
    for(int i=k;i>0;--i) {
        for(int j=0;j<n;++j) if(dp[i][j].d) {
            int nbad = who[j].size();
            if(nbad>i) continue;
            
            // cerr << i << ' ' << j << ": " << dp[i][j] << '\n';
            for(auto x : who[j]) inside[x]=1;
            int use=0;
            for(int to = j+1;to<=n;++to) {
                if(to>j+1 and q[to-1]<q[to-2]) break;
                use += inside[q[to-1]];
                if(to-1>=n-i and use==1) {
                    dp[i-1][to]+=dp[i][j]*fact[to-j-1]; // must be the last one.
                } else if(use==0 and nbad<i and to<=n-nbad) {
                    // who[j] is full.
                    // needs to get rid of one.
                    // this one is in there.
                    if(i==1 and to==n) {
                        dp[i-1][to]+=dp[i][j]*fact[to-j];
                    } else dp[i-1][to]+=nopartition[to-j]*dp[i][j];
                }

            }
            for(auto x : who[j]) inside[x]=0;

        }
    }
    cout << dp[0][n] << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 2ms
memory: 7512kb

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: 7664kb

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: 7512kb

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: 7512kb

input:

6 5
1 2 3 5 4 6

output:

4

result:

ok 1 number(s): "4"

Test #5:

score: 0
Accepted
time: 0ms
memory: 7456kb

input:

6 5
1 2 3 5 4 6

output:

4

result:

ok 1 number(s): "4"

Test #6:

score: 0
Accepted
time: 0ms
memory: 7464kb

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: 7516kb

input:

6 5
1 3 2 5 4 6

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 1ms
memory: 7520kb

input:

6 3
1 2 3 6 5 4

output:

13

result:

ok 1 number(s): "13"

Test #9:

score: 0
Accepted
time: 1ms
memory: 7696kb

input:

6 4
1 2 5 4 3 6

output:

3

result:

ok 1 number(s): "3"

Test #10:

score: 0
Accepted
time: 1ms
memory: 7508kb

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: 1ms
memory: 7448kb

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: 7400kb

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: 1ms
memory: 7516kb

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: 7744kb

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: 7400kb

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: 0ms
memory: 7504kb

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: 7488kb

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: 1ms
memory: 7696kb

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: 0ms
memory: 7532kb

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: 7472kb

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: 57ms
memory: 7412kb

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: 52ms
memory: 7508kb

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: 27ms
memory: 7412kb

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: 54ms
memory: 7680kb

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: 50ms
memory: 7744kb

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: 52ms
memory: 7544kb

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: 53ms
memory: 7536kb

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: 38ms
memory: 7412kb

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: 24ms
memory: 7504kb

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: 49ms
memory: 7452kb

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: 46ms
memory: 7528kb

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: 35ms
memory: 7412kb

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: 24ms
memory: 7452kb

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: 34ms
memory: 7520kb

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: 49ms
memory: 7532kb

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: 24ms
memory: 7520kb

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: 21ms
memory: 7528kb

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: 18ms
memory: 7524kb

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: 32ms
memory: 7752kb

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: 25ms
memory: 7516kb

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"