QOJ.ac

QOJ

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
#763560#9479. And DNAeastcloudAC ✓0ms3728kbC++172.3kb2024-11-19 21:00:392024-11-19 21:00:40

Judging History

你现在查看的是最新测评结果

  • [2024-11-19 21:00:40]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:3728kb
  • [2024-11-19 21:00:39]
  • 提交

answer


#include<bits/stdc++.h>

#define ll long long
#define pi pair<ll,ll>
#define vi vector<ll>
#define cpy(x,y,s) memcpy(x,y,sizeof(x[0])*(s))
#define mset(x,v,s) memset(x,v,sizeof(x[0])*(s))
#define all(x) begin(x),end(x)
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define ary array
#define eb emplace_back
#define IL inline

using namespace std;

#define mod 998244353

ll read(){
    ll x=0,f=1;char ch=getchar();
    while(ch<'0' || ch>'9')f=(ch=='-'?-1:f),ch=getchar();
    while(ch>='0' && ch<='9')x=(x<<1)+(x<<3)+(ch^48),ch=getchar();
    return x*f;
}
void write(ll x){
    if(x<0)x=-x,putchar('-');
    if(x/10)write(x/10);
    putchar(x%10+'0');
}

IL ll pls(ll x,ll y){return (x+y>=mod?x+y-mod:x+y);}
IL ll sub(ll x,ll y){return (x-y<0?x-y+mod:x-y);}
IL void Add(ll &x,ll y){x=pls(x,y);}
IL void Dec(ll &x,ll y){x=sub(x,y);}
IL ll mul(ll x,ll y){return x*1ll*y%mod;}

struct mat{
    ll a[6][6];
    mat(){memset(a,0,sizeof(a));}
    mat operator *(const mat &x){
        mat z;
        for(ll i=0;i<6;i++){
            for(ll j=0;j<6;j++){
                for(ll k=0;k<6;k++)Add(z.a[i][k],mul(a[i][j],x.a[j][k]));
            }
        }
        return z;
    }
};

mat trs,I;

ll f[33][2];

ll ask(ll x){
    if(x<=4)return I.a[x-1][0];
    mat z=trs,res=trs;ll y=x-5;
    while(y){
        if(y&1)res=z*res;
        z=z*z;y>>=1;
    }
    return (res*I).a[3][0];
}

int main(){
    #ifdef EAST_CLOUD
    freopen("a.in","r",stdin);
    //freopen("a.out","w",stdout);
    #endif

    ll n=read(),m=read();
    I.a[0][0]=1;I.a[1][0]=0;I.a[2][0]=1;I.a[3][0]=1;I.a[4][0]=1;I.a[5][0]=2;
    trs.a[0][1]=1;trs.a[1][2]=1;trs.a[2][3]=1;trs.a[3][4]=1;trs.a[4][5]=1;
    trs.a[5][0]=1;trs.a[5][1]=2;trs.a[5][2]=1;
    
    //cerr<<ask(5)<<' '<<ask(6)<<' '<<ask(7)<<' '<<ask(8)<<endl;

    ll coef=mul(2,ask(n-1))+mul(3,ask(n-2));
    if(m&1)f[0][0]=coef,f[0][1]=0;
    else f[0][0]=1,f[0][1]=1;
    for(ll i=1;i<=32;i++){
        if(m&(1ll<<i)){
            Add(f[i][0],mul(f[i-1][0],coef));Add(f[i][0],f[i-1][1]);
            Add(f[i][1],f[i-1][1]);
        }
        else{
            Add(f[i][0],f[i-1][0]);
            Add(f[i][1],mul(f[i-1][1],coef));Add(f[i][1],f[i-1][0]);
        }
    }
    write(f[32][0]);
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3696kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

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

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

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

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

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

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

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

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

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

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

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

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

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

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

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

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

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

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

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

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

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

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

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

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3516kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

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

input:

3 1

output:

3

result:

ok "3"

Test #25:

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

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

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

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3572kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

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

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

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

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

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

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed