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#300425#7774. 基础寄术练习题hjl666100 ✓202ms39936kbC++142.0kb2024-01-08 11:05:502024-01-08 11:05:50

Judging History

你现在查看的是最新测评结果

  • [2024-01-08 11:05:50]
  • 评测
  • 测评结果:100
  • 用时:202ms
  • 内存:39936kb
  • [2024-01-08 11:05:50]
  • 提交

answer

#include<bits/stdc++.h>
#define int ll
#define ll long long
#define db double
#define MP make_pair
#define vec vector<int>
#define pii pair<int,int>
#define pb emplace_back
#define fi first
#define se second
#define ls k<<1
#define rs k<<1|1
#define CLK (double)clock()/CLOCKS_PER_SEC
using namespace std;
mt19937 rnd(time(0));
int read(){
    int x=0,f=1;char c=getchar();
    while(c<'0'||c>'9'){if(c=='-')f=-1;c=getchar();}
    while(c>='0'&&c<='9'){x=x*10+c-'0';c=getchar();}
    return x*f;
}
void write(int x){
    if(x<0){putchar('-');write(-x);}
    else {
        if(x>9)write(x/10);
        putchar(x%10+'0');
    }
}
const int N=105;
int n,m,k,mod,inv[N*N];
void add(int &x,int y){x+=y;if(x>=mod)x-=mod;}
void init(int n){
    inv[0]=inv[1]=1;
    for(int i=2;i<=n;i++)inv[i]=(mod-mod/i)*inv[mod%i]%mod;
}
int f[N][N];
void Solve1(){
    f[0][0]=1;
    for(int i=1;i<=m;i++)for(int j=0;j<i;j++){
        add(f[i][j],f[i-1][j]);
        add(f[i][j+1],f[i-1][j]*inv[i]%mod);
    }
    cout<<f[m][n]<<"\n";
}
int g[2][N][N*N][2],p;
void New(){p^=1;memset(g[p],0,sizeof g[p]);}
void Solve2(){
    g[p][0][0][0]=1;//valspace,cnt_S,sum_T,had a_1
    int s=0,ans=0;
    for(int i=1;i<=m;s+=i,i++){
        New();
        for(int j=0;j<i;j++)for(int k=0;k<=s;k++)
        for(int l=0;l<2;l++)if(g[p^1][j][k][l]){
            int res=g[p^1][j][k][l];
            add(g[p][j][k][l],res);
            add(g[p][j+1][k][l],res*inv[i]%mod);
            add(g[p][j+1][k+i][l],(mod-res)*inv[i]%mod);
            if(!l)add(g[p][j+1][k+i][1],res*i%mod);
        }
    }
    for(int i=0;i<=s;i++)if(g[p][n][i][1])
        add(ans,g[p][n][i][1]*inv[i]%mod);
    cout<<(ans+mod)%mod<<"\n";
}
void MAIN(){
    n=read(),m=read(),k=read(),mod=read();init(10000);
    if(k==1)Solve1();
    else Solve2();
}
signed main(){
  //  freopen("read.in","r",stdin);
    //freopen("write.out","w",stdout);
    int T=1;while(T--)MAIN();
    // printf("\nTIME:%lf\n",CLK);
    return 0;
}
// g++ qoj7774.cpp -o qoj7774 -std=c++14 -O2

詳細信息

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 0ms
memory: 3608kb

input:

9 16 1 327134593

output:

162102742

result:

ok single line: '162102742'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

11 18 1 834359503

output:

256188485

result:

ok single line: '256188485'

Test #3:

score: 0
Accepted
time: 1ms
memory: 3668kb

input:

18 18 1 614802701

output:

552168146

result:

ok single line: '552168146'

Test #4:

score: 0
Accepted
time: 11ms
memory: 39828kb

input:

7 16 2 861918403

output:

306693876

result:

ok single line: '306693876'

Test #5:

score: 0
Accepted
time: 13ms
memory: 39936kb

input:

11 17 2 617904383

output:

393900291

result:

ok single line: '393900291'

Subtask #2:

score: 25
Accepted

Test #6:

score: 25
Accepted
time: 1ms
memory: 3672kb

input:

60 98 1 715015339

output:

690737273

result:

ok single line: '690737273'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

96 97 1 507892589

output:

481151247

result:

ok single line: '481151247'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

90 95 1 621080027

output:

255353202

result:

ok single line: '255353202'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

85 94 1 297115421

output:

122254364

result:

ok single line: '122254364'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

81 91 1 460412027

output:

148037986

result:

ok single line: '148037986'

Subtask #3:

score: 15
Accepted

Test #11:

score: 15
Accepted
time: 19ms
memory: 39764kb

input:

29 29 2 545875273

output:

171843225

result:

ok single line: '171843225'

Test #12:

score: 0
Accepted
time: 24ms
memory: 39772kb

input:

29 29 2 342070607

output:

291380196

result:

ok single line: '291380196'

Test #13:

score: 0
Accepted
time: 22ms
memory: 39648kb

input:

30 30 2 293965439

output:

148471965

result:

ok single line: '148471965'

Test #14:

score: 0
Accepted
time: 23ms
memory: 39644kb

input:

30 30 2 528219961

output:

203632962

result:

ok single line: '203632962'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

30 30 1 202836509

output:

158493990

result:

ok single line: '158493990'

Subtask #4:

score: 10
Accepted

Test #16:

score: 10
Accepted
time: 20ms
memory: 39884kb

input:

27 30 2 360712453

output:

80987914

result:

ok single line: '80987914'

Test #17:

score: 0
Accepted
time: 31ms
memory: 39768kb

input:

26 29 2 377615957

output:

278812897

result:

ok single line: '278812897'

Test #18:

score: 0
Accepted
time: 26ms
memory: 39792kb

input:

22 30 2 163686233

output:

19517828

result:

ok single line: '19517828'

Test #19:

score: 0
Accepted
time: 24ms
memory: 39708kb

input:

20 29 2 785657729

output:

713061509

result:

ok single line: '713061509'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

24 29 1 374090597

output:

312615700

result:

ok single line: '312615700'

Subtask #5:

score: 15
Accepted

Test #21:

score: 15
Accepted
time: 40ms
memory: 39880kb

input:

29 38 2 909155077

output:

745973305

result:

ok single line: '745973305'

Test #22:

score: 0
Accepted
time: 33ms
memory: 39884kb

input:

40 40 2 1067474879

output:

995503334

result:

ok single line: '995503334'

Test #23:

score: 0
Accepted
time: 27ms
memory: 39828kb

input:

32 37 2 751116719

output:

699924081

result:

ok single line: '699924081'

Test #24:

score: 0
Accepted
time: 30ms
memory: 39772kb

input:

33 37 2 496100951

output:

21741458

result:

ok single line: '21741458'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

34 38 1 499914887

output:

386116226

result:

ok single line: '386116226'

Subtask #6:

score: 10
Accepted

Test #26:

score: 10
Accepted
time: 75ms
memory: 39824kb

input:

57 66 2 767174999

output:

315351738

result:

ok single line: '315351738'

Test #27:

score: 0
Accepted
time: 81ms
memory: 39924kb

input:

52 69 2 399947623

output:

237685494

result:

ok single line: '237685494'

Test #28:

score: 0
Accepted
time: 68ms
memory: 39784kb

input:

63 64 2 903693961

output:

520250635

result:

ok single line: '520250635'

Test #29:

score: 0
Accepted
time: 92ms
memory: 39884kb

input:

65 70 2 268454909

output:

255864893

result:

ok single line: '255864893'

Test #30:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

58 68 1 562105223

output:

175445185

result:

ok single line: '175445185'

Subtask #7:

score: 15
Accepted

Test #31:

score: 15
Accepted
time: 202ms
memory: 39848kb

input:

96 96 2 453296971

output:

222864385

result:

ok single line: '222864385'

Test #32:

score: 0
Accepted
time: 197ms
memory: 39788kb

input:

85 96 2 859572601

output:

457416092

result:

ok single line: '457416092'

Test #33:

score: 0
Accepted
time: 188ms
memory: 39832kb

input:

89 94 2 753918677

output:

366789523

result:

ok single line: '366789523'

Test #34:

score: 0
Accepted
time: 176ms
memory: 39764kb

input:

91 92 2 202806031

output:

64270709

result:

ok single line: '64270709'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3696kb

input:

100 100 1 493945957

output:

109570004

result:

ok single line: '109570004'