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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#790510#9479. And DNACryingAC ✓1ms3716kbC++142.0kb2024-11-28 12:55:302024-11-28 12:55:31

Judging History

你现在查看的是最新测评结果

  • [2024-11-28 12:55:31]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3716kb
  • [2024-11-28 12:55:30]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int M = 30,K = 4,mod = 998244353;
int addv(int x,int y){return (x+y>=mod)?(x+y-mod):(x+y);}
int subv(int x,int y){return (x>=y)?(x-y):(x-y+mod);}
void add(int& x,int y){x = addv(x,y);}
void sub(int& x,int y){x = subv(x,y);}
int qpow(int a,int n){
    int res = 1; a%=mod;
    while(n){
        if(n&1)res = 1ll*res*a%mod;
        n>>=1; a = 1ll*a*a%mod;
    }
    return res;
}
int qinv(int a){return qpow(a,mod-2);}
//
int n,m,dp[M+1][2];

int w[3]; //sum = 0/1/2

int id(int x,int y){return x*2 + y;}
typedef array<int,K> vec; typedef array<vec,K> mat;
vec operator*(vec x,mat y){
    vec z = {};
    for(int i=0;i<K;i++)for(int j=0;j<K;j++)add(z[j],1ll*x[i]*y[i][j]%mod);
    return z;
}
mat operator*(mat x,mat y){
    mat z = {};
    for(int i=0;i<K;i++)for(int j=0;j<K;j++)for(int k=0;k<K;k++)add(z[i][j],1ll*x[i][k]*y[k][j]%mod);
    return z;
}

mat pw[M+1];

int main(){
    cin>>n>>m;

    w[2] = 1;
    for(int i=0;i<2;i++){
        auto chk = [&](int x,int y,int z){return (x&z) + y == i;};
        mat A = {};
        for(int x=0;x<2;x++)for(int y=0;y<2;y++)for(int z=0;z<2;z++)if(chk(x,y,z)){
            A[id(x,y)][id(y,z)]++;
        }
        pw[0] = A; for(int i=1;i<=M;i++)pw[i] = pw[i-1] * pw[i-1];
        //
        for(int x=0;x<2;x++)for(int y=0;y<2;y++){
            vec v = {}; v[id(x,y)]++;
            for(int j=M;j>=0;j--)if((n-2)>>j&1)v = v * pw[j];
            for(int vx=0;vx<2;vx++)for(int vy=0;vy<2;vy++){
                if(chk(vx,vy,x) && chk(vy,x,y)){
                    add(w[i],v[id(vx,vy)]);
                }
            }
        }
    }

    dp[0][0] = 1;
    for(int i=0;i<M;i++)for(int j=0;j<2;j++){
        int now = dp[i][j]; if(!now)continue;
        for(int k=0;k<=2;k++){
            int val = j+k; if(val%2 != (m>>i&1))continue;
            add(dp[i+1][val/2],1ll*now*w[k]%mod);
        }
    }
    cout<<dp[M][0]<<endl;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3556kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

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

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

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

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

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

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

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

input:

4 1

output:

2

result:

ok "2"

Test #28:

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

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed