Submission #38636447


Source Code Expand

#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=(a);i<=(b);i++)
#define per(i,a,b) for(int i=(a);i>=(b);i--)
#define op(x) ((x&1)?x+1:x-1)
#define odd(x) ((x)&1)
#define even(x) (!odd((x)))
#define lc(x) (x<<1)
#define rc(x) (lc(x)|1)
#define lowbit(x) (x&-x)
#define mp(x,y) make_pair(x,y)
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
using namespace std;
const ll MAXN=210,LIM=200,mod=998244353;
void add(ll&x,ll y){x=(x+y)%mod;}
void sub(ll&x,ll y){x=(x-y+mod)%mod;}
ll mypow(ll a,ll n){
    if(!n)return 1;
    ll tmp=mypow(a,n/2);tmp=tmp*tmp%mod;
    if(n&1)tmp=tmp*a%mod;return tmp;
}
ll myinv(ll a){return mypow(a,mod-2);}
ll P(ll x){return (x%2)?(mod-1):(1);}
//
ll n,m,x;
ll c1[MAXN][MAXN],c2[MAXN][MAXN],fact[MAXN],factinv[MAXN],pw[MAXN];
ll f[MAXN]; //f(i) : i个变量xor=x的方案数
ll g[MAXN]; //g(i) : i个不同变量xor=x的方案数
ll h[MAXN];

ll dp[MAXN][MAXN],dp2[MAXN][MAXN];

ll C(int x,int y){
    if(x<=LIM)return c1[x][y];
    if(y<0)return 0;
    ll res=1;
    rep(i,1,y)res=res*((x-i+1)%mod)%mod;
    return res*factinv[y]%mod;
}
ll HC(int x,int mode){
    if(x)return pw[x-1];
    else return !mode;
}
ll H(int x){return P(x-1)*fact[x-1]%mod;}

void pre_solve(ll n){
    ll& ans=f[n];
    memset(dp,0,sizeof dp);
    dp[31][0]=1;
    per(i,30,0)rep(j,0,n)if(dp[i+1][j]){
        ll ways=dp[i+1][j];
        int bit=(x>>i&1);
        if(m>>i&1){
            rep(k,0,n-j){
                add(dp[i][n-k],ways*C(n-j,k)%mod*HC(j,odd(k^bit))%mod);
            }
        }else{
            rep(k,0,j)if(even(k^bit)){
                add(dp[i][j],ways*C(j,k)%mod);
            }
        }
    }
    ans=dp[0][n];
}
void solve_g(){
    memset(dp,0,sizeof dp);
    dp[0][0]=dp2[0][0]=1;
    rep(i,0,n-1)rep(j,0,n-1){
        ll ways=dp[i][j],ways2=dp2[i][j];
        rep(k,1,n-j)if(odd(k)){
            add(dp[i+1][j+k],ways*factinv[k]%mod*H(k)%mod);
        }else{
            add(dp2[i+1][j+k],ways2*factinv[k]%mod*H(k)%mod);
        }
    }

    rep(i,0,n)rep(j,0,n)add(h[j],dp2[i][j]*factinv[i]%mod*mypow(m,i)%mod);
    

    rep(i,1,n)rep(j,0,i)rep(k,0,n){
        ll ways=dp[j][k]*h[i-k]%mod;
      
        if(!ways)continue;
        ways=ways*fact[i]%mod*factinv[j]%mod;

        add(g[i],ways*f[j]%mod);
    }
    rep(i,1,n)g[i]=g[i]*factinv[i]%mod;
}
int main(){

    pw[0]=fact[0]=1;rep(i,1,LIM)fact[i]=fact[i-1]*i%mod,pw[i]=pw[i-1]*2%mod;
    factinv[LIM]=myinv(fact[LIM]);per(i,LIM-1,0)factinv[i]=factinv[i+1]*(i+1)%mod;

    c1[0][0]=1;
    rep(i,1,LIM){
        c1[i][0]=1;
        rep(j,1,i)c1[i][j]=c1[i-1][j],add(c1[i][j],c1[i-1][j-1]);
    }
    cin>>n>>m>>x;m++;

    //
    f[0]=g[0]=(x==0);
    rep(i,1,n){
        pre_solve(i);
    }
    solve_g();

    ll ans=0;

    rep(i,0,n/2){
        int rest=n-2*i;
        ll ways=g[rest];
        ways=ways*C(m+i-1,i)%mod;

        add(ans,ways);
    }
    cout<<ans<<"\n";
    return 0;
}

Submission Info

Submission Time
Task Ex - A Nameless Counting Problem
User Crying
Language C++ (GCC 9.2.1)
Score 600
Code Size 3031 Byte
Status AC
Exec Time 183 ms
Memory 4580 KiB

Compile Error

./Main.cpp: In function ‘ll mypow(ll, ll)’:
./Main.cpp:21:5: warning: this ‘if’ clause does not guard... [-Wmisleading-indentation]
   21 |     if(n&1)tmp=tmp*a%mod;return tmp;
      |     ^~
./Main.cpp:21:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘if’
   21 |     if(n&1)tmp=tmp*a%mod;return tmp;
      |                          ^~~~~~

Judge Result

Set Name Sample All
Score / Max Score 0 / 0 600 / 600
Status
AC × 2
AC × 80
Set Name Test Cases
Sample example0.txt, example1.txt
All 000.txt, 001.txt, 002.txt, 003.txt, 004.txt, 005.txt, 006.txt, 007.txt, 008.txt, 009.txt, 010.txt, 011.txt, 012.txt, 013.txt, 014.txt, 015.txt, 016.txt, 017.txt, 018.txt, 019.txt, 020.txt, 021.txt, 022.txt, 023.txt, 024.txt, 025.txt, 026.txt, 027.txt, 028.txt, 029.txt, 030.txt, 031.txt, 032.txt, 033.txt, 034.txt, 035.txt, 036.txt, 037.txt, 038.txt, 039.txt, 040.txt, 041.txt, 042.txt, 043.txt, 044.txt, 045.txt, 046.txt, 047.txt, 048.txt, 049.txt, 050.txt, 051.txt, 052.txt, 053.txt, 054.txt, 055.txt, 056.txt, 057.txt, 058.txt, 059.txt, 060.txt, 061.txt, 062.txt, 063.txt, 064.txt, 065.txt, 066.txt, 067.txt, 068.txt, 069.txt, 070.txt, 071.txt, 072.txt, 073.txt, 074.txt, 075.txt, 076.txt, 077.txt, example0.txt, example1.txt
Case Name Status Exec Time Memory
000.txt AC 8 ms 4212 KiB
001.txt AC 4 ms 4184 KiB
002.txt AC 3 ms 4172 KiB
003.txt AC 2 ms 4028 KiB
004.txt AC 43 ms 4564 KiB
005.txt AC 86 ms 4568 KiB
006.txt AC 154 ms 4432 KiB
007.txt AC 183 ms 4512 KiB
008.txt AC 42 ms 4352 KiB
009.txt AC 82 ms 4568 KiB
010.txt AC 40 ms 4356 KiB
011.txt AC 168 ms 4412 KiB
012.txt AC 43 ms 4500 KiB
013.txt AC 83 ms 4436 KiB
014.txt AC 157 ms 4352 KiB
015.txt AC 159 ms 4520 KiB
016.txt AC 42 ms 4544 KiB
017.txt AC 83 ms 4432 KiB
018.txt AC 171 ms 4356 KiB
019.txt AC 44 ms 4440 KiB
020.txt AC 73 ms 4480 KiB
021.txt AC 65 ms 4416 KiB
022.txt AC 69 ms 4500 KiB
023.txt AC 69 ms 4412 KiB
024.txt AC 73 ms 4408 KiB
025.txt AC 44 ms 4484 KiB
026.txt AC 44 ms 4540 KiB
027.txt AC 45 ms 4508 KiB
028.txt AC 49 ms 4432 KiB
029.txt AC 46 ms 4536 KiB
030.txt AC 110 ms 4384 KiB
031.txt AC 62 ms 4456 KiB
032.txt AC 31 ms 4332 KiB
033.txt AC 34 ms 4256 KiB
034.txt AC 24 ms 4388 KiB
035.txt AC 58 ms 4408 KiB
036.txt AC 10 ms 4168 KiB
037.txt AC 120 ms 4316 KiB
038.txt AC 20 ms 4316 KiB
039.txt AC 136 ms 4516 KiB
040.txt AC 65 ms 4388 KiB
041.txt AC 12 ms 4336 KiB
042.txt AC 6 ms 4144 KiB
043.txt AC 36 ms 4324 KiB
044.txt AC 2 ms 4212 KiB
045.txt AC 42 ms 4484 KiB
046.txt AC 32 ms 4348 KiB
047.txt AC 47 ms 4272 KiB
048.txt AC 169 ms 4512 KiB
049.txt AC 164 ms 4544 KiB
050.txt AC 163 ms 4504 KiB
051.txt AC 161 ms 4508 KiB
052.txt AC 158 ms 4416 KiB
053.txt AC 44 ms 4408 KiB
054.txt AC 167 ms 4496 KiB
055.txt AC 173 ms 4436 KiB
056.txt AC 179 ms 4500 KiB
057.txt AC 172 ms 4424 KiB
058.txt AC 161 ms 4580 KiB
059.txt AC 159 ms 4408 KiB
060.txt AC 165 ms 4500 KiB
061.txt AC 168 ms 4416 KiB
062.txt AC 173 ms 4544 KiB
063.txt AC 167 ms 4576 KiB
064.txt AC 154 ms 4352 KiB
065.txt AC 158 ms 4564 KiB
066.txt AC 143 ms 4564 KiB
067.txt AC 164 ms 4436 KiB
068.txt AC 150 ms 4436 KiB
069.txt AC 141 ms 4408 KiB
070.txt AC 143 ms 4540 KiB
071.txt AC 176 ms 4540 KiB
072.txt AC 163 ms 4496 KiB
073.txt AC 156 ms 4500 KiB
074.txt AC 155 ms 4524 KiB
075.txt AC 157 ms 4568 KiB
076.txt AC 161 ms 4412 KiB
077.txt AC 179 ms 4540 KiB
example0.txt AC 3 ms 4220 KiB
example1.txt AC 171 ms 4540 KiB