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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
#875337#9782. NonZero PrefSuf Sumsucup-team3646#AC ✓1978ms4224kbC++202.0kb2025-01-29 16:14:132025-01-29 16:14:14

Judging History

你现在查看的是最新测评结果

  • [2025-01-29 16:14:14]
  • 评测
  • 测评结果:AC
  • 用时:1978ms
  • 内存:4224kb
  • [2025-01-29 16:14:13]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

using ll = long long;
#define rep(i, n) for(ll i = 0; i < (n); ++i)
#define rep2(i, l, r) for(ll i = (l); i < (r); ++i)

using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;

#define all(A) A.begin(), A.end()
#define elif else if
using pii = pair<ll, ll>;

bool chmin(auto &a, auto b) {return a > b ? a = b, 1 : 0;}
bool chmax(auto &a, auto b) {return a < b ? a = b, 1 : 0;}

struct IOS {
  IOS() {
    cin.tie(0);
    ios::sync_with_stdio(0);
  }
} iosetup;

template<class T>
void print(vector<T> a) {
  for(auto x : a) cout << x << ' ';
  cout << endl;
}

void print(auto x) {cout << x << endl;}

template<class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
  cout << head << ' ';
  print(forward<Tail>(tail)...);
}

ll mod;
ll n,m;
int M=110;

ll calc1(){
  vector<vll>dp(2*M+1,vll(M+1,0));
  int off=M;
  dp[off+0][0]=1;
  rep(_,n){
    vector<vll>ndp(2*M+1,vll(M+1,0));
    rep2(sm,-M,M+1){
      rep2(mn,0,M+1){
        rep2(val,-m,2){
          if(-M<=sm+val&&sm+val<=M){
            int nsm=sm+val;
            int nmn=max(mn,-val);
            ndp[nsm+off][nmn]+=dp[sm+off][mn];
            ndp[nsm+off][nmn]%=mod;
          }
        }
      }
    }
    dp=ndp;
  }
  ll res=0;
  rep2(p,1,m+1){
    rep2(sm,-M,M+1){
      rep2(mn,0,M+1){
        if(sm>=1&&mn+2>sm){
          if(p*mn<=m){
            res+=2*dp[sm+off][mn];
          }          
        }
      }
    }     
  }
  return res;
}


ll calc2(){
  vll dp(2*M*M+1,0);
  dp[M*M]=1;
  rep(_,n){
    vll ndp(2*M*M+1,0);
    rep(i,2*M*M+1){
      rep2(d,-m,m+1){
        if(0<=i+d&&i+d<=2*M*M){
          ndp[i+d]+=dp[i];
          ndp[i+d]%=mod;
        }
      }
    }
    dp=ndp;
  }
  return dp[M*M];
}

int main(){
  cin>>n>>m>>mod;
  ll ans=1;
  rep(i,n){
    ans*=2*m+1;
    ans%=mod;
  }
  ll sub1=calc1();
  ll sub2=calc2();
  ans-=sub1;
  ans-=sub2;
  ans%=mod;
  ans=(ans+mod)%mod;
  cout<<ans<<endl;
}

詳細信息

Test #1:

score: 100
Accepted
time: 2ms
memory: 4224kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 609ms
memory: 4224kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

2 1 998244353

output:

2

result:

ok single line: '2'

Test #4:

score: 0
Accepted
time: 606ms
memory: 4036kb

input:

69 42 696969697

output:

378553557

result:

ok single line: '378553557'

Test #5:

score: 0
Accepted
time: 926ms
memory: 4096kb

input:

61 75 677323601

output:

34613998

result:

ok single line: '34613998'

Test #6:

score: 0
Accepted
time: 42ms
memory: 4224kb

input:

13 14 670577333

output:

41465431

result:

ok single line: '41465431'

Test #7:

score: 0
Accepted
time: 23ms
memory: 4224kb

input:

14 6 987686347

output:

37536510

result:

ok single line: '37536510'

Test #8:

score: 0
Accepted
time: 41ms
memory: 4096kb

input:

15 12 196428923

output:

29322522

result:

ok single line: '29322522'

Test #9:

score: 0
Accepted
time: 114ms
memory: 4224kb

input:

68 7 786815587

output:

149281835

result:

ok single line: '149281835'

Test #10:

score: 0
Accepted
time: 3ms
memory: 4224kb

input:

3 2 503002109

output:

82

result:

ok single line: '82'

Test #11:

score: 0
Accepted
time: 16ms
memory: 4224kb

input:

13 5 756093197

output:

415698676

result:

ok single line: '415698676'

Test #12:

score: 0
Accepted
time: 2ms
memory: 4224kb

input:

2 3 646574611

output:

30

result:

ok single line: '30'

Test #13:

score: 0
Accepted
time: 539ms
memory: 3908kb

input:

39 68 120037189

output:

43217507

result:

ok single line: '43217507'

Test #14:

score: 0
Accepted
time: 13ms
memory: 3908kb

input:

13 4 423132517

output:

360231790

result:

ok single line: '360231790'

Test #15:

score: 0
Accepted
time: 11ms
memory: 4224kb

input:

14 3 309713387

output:

94215386

result:

ok single line: '94215386'

Test #16:

score: 0
Accepted
time: 373ms
memory: 4224kb

input:

24 77 886983941

output:

211636479

result:

ok single line: '211636479'

Test #17:

score: 0
Accepted
time: 2ms
memory: 4224kb

input:

3 3 504388063

output:

270

result:

ok single line: '270'

Test #18:

score: 0
Accepted
time: 1ms
memory: 4224kb

input:

3 1 936205423

output:

8

result:

ok single line: '8'

Test #19:

score: 0
Accepted
time: 3ms
memory: 4224kb

input:

3 3 295983139

output:

270

result:

ok single line: '270'

Test #20:

score: 0
Accepted
time: 34ms
memory: 3908kb

input:

10 15 446169107

output:

149884328

result:

ok single line: '149884328'

Test #21:

score: 0
Accepted
time: 148ms
memory: 4224kb

input:

37 18 833753929

output:

592917251

result:

ok single line: '592917251'

Test #22:

score: 0
Accepted
time: 10ms
memory: 4224kb

input:

11 3 998773403

output:

860630017

result:

ok single line: '860630017'

Test #23:

score: 0
Accepted
time: 241ms
memory: 4096kb

input:

14 85 688036639

output:

347188409

result:

ok single line: '347188409'

Test #24:

score: 0
Accepted
time: 2ms
memory: 4224kb

input:

3 3 844621907

output:

270

result:

ok single line: '270'

Test #25:

score: 0
Accepted
time: 3ms
memory: 4224kb

input:

3 4 204335891

output:

620

result:

ok single line: '620'

Test #26:

score: 0
Accepted
time: 14ms
memory: 4096kb

input:

7 8 113007667

output:

58946097

result:

ok single line: '58946097'

Test #27:

score: 0
Accepted
time: 3ms
memory: 4096kb

input:

4 1 637268377

output:

22

result:

ok single line: '22'

Test #28:

score: 0
Accepted
time: 36ms
memory: 3908kb

input:

11 14 391637237

output:

303270280

result:

ok single line: '303270280'

Test #29:

score: 0
Accepted
time: 2ms
memory: 4224kb

input:

3 2 208286231

output:

82

result:

ok single line: '82'

Test #30:

score: 0
Accepted
time: 5ms
memory: 3908kb

input:

2 11 662696483

output:

462

result:

ok single line: '462'

Test #31:

score: 0
Accepted
time: 215ms
memory: 4224kb

input:

19 55 974135299

output:

887460557

result:

ok single line: '887460557'

Test #32:

score: 0
Accepted
time: 13ms
memory: 4096kb

input:

6 8 417027509

output:

23351024

result:

ok single line: '23351024'

Test #33:

score: 0
Accepted
time: 23ms
memory: 3908kb

input:

8 13 624006587

output:

353008442

result:

ok single line: '353008442'

Test #34:

score: 0
Accepted
time: 23ms
memory: 4224kb

input:

10 10 740294671

output:

79436611

result:

ok single line: '79436611'

Test #35:

score: 0
Accepted
time: 26ms
memory: 4224kb

input:

11 10 394088657

output:

161476458

result:

ok single line: '161476458'

Test #36:

score: 0
Accepted
time: 53ms
memory: 4224kb

input:

9 27 562853573

output:

135252259

result:

ok single line: '135252259'

Test #37:

score: 0
Accepted
time: 7ms
memory: 4224kb

input:

8 3 829129009

output:

5349034

result:

ok single line: '5349034'

Test #38:

score: 0
Accepted
time: 522ms
memory: 4224kb

input:

51 49 924010279

output:

815049368

result:

ok single line: '815049368'

Test #39:

score: 0
Accepted
time: 6ms
memory: 4224kb

input:

12 2 308466749

output:

223013998

result:

ok single line: '223013998'

Test #40:

score: 0
Accepted
time: 8ms
memory: 4224kb

input:

7 4 567557693

output:

4502296

result:

ok single line: '4502296'

Test #41:

score: 0
Accepted
time: 668ms
memory: 4224kb

input:

36 93 943780729

output:

13599465

result:

ok single line: '13599465'

Test #42:

score: 0
Accepted
time: 2ms
memory: 4224kb

input:

2 1 828681127

output:

2

result:

ok single line: '2'

Test #43:

score: 0
Accepted
time: 3ms
memory: 3908kb

input:

3 3 534160729

output:

270

result:

ok single line: '270'

Test #44:

score: 0
Accepted
time: 18ms
memory: 4224kb

input:

7 12 920925433

output:

453086694

result:

ok single line: '453086694'

Test #45:

score: 0
Accepted
time: 1ms
memory: 4224kb

input:

3 2 440546987

output:

82

result:

ok single line: '82'

Test #46:

score: 0
Accepted
time: 192ms
memory: 4224kb

input:

90 9 291269963

output:

72560304

result:

ok single line: '72560304'

Test #47:

score: 0
Accepted
time: 88ms
memory: 4224kb

input:

38 10 867575113

output:

165530481

result:

ok single line: '165530481'

Test #48:

score: 0
Accepted
time: 375ms
memory: 4224kb

input:

48 37 152663531

output:

135425620

result:

ok single line: '135425620'

Test #49:

score: 0
Accepted
time: 50ms
memory: 3840kb

input:

15 15 991731803

output:

102703562

result:

ok single line: '102703562'

Test #50:

score: 0
Accepted
time: 1978ms
memory: 3908kb

input:

100 100 696969697

output:

313377809

result:

ok single line: '313377809'

Extra Test:

score: 0
Extra Test Passed