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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#735275#9479. And DNArqoi031AC ✓0ms1644kbC++202.0kb2024-11-11 18:54:082024-11-11 18:54:10

Judging History

你现在查看的是最新测评结果

  • [2024-11-11 18:54:10]
  • 评测
  • 测评结果:AC
  • 用时:0ms
  • 内存:1644kb
  • [2024-11-11 18:54:08]
  • 提交

answer

#include<stdio.h>
#include<algorithm>
typedef unsigned int uint;
typedef unsigned long long ull;
constexpr uint mod{998244353};
constexpr uint plus(const uint &x,const uint &y) {
    if(x+y>=mod) {
        return x+y-mod;
    }
    return x+y;
}
template<int N>
struct vector {
    uint a[N];
    constexpr vector():a{} {}
};
template<uint N>
struct matrix {
    uint a[N][N];
    constexpr matrix():a{} {}
    constexpr matrix<N> operator*(const matrix<N> &x) const {
        matrix<N> y;
        for(uint i=0;i!=N;i++) {
            for(uint j=0;j!=N;j++) {
                for(uint k=0;k!=N;k++) {
                    y.a[i][k]=(y.a[i][k]+ull(this->a[i][j])*x.a[j][k])%mod;
                }
            }
        }
        return y;
    }
    constexpr vector<N> operator*(const vector<N> &x) const {
        vector<N> y;
        for(uint i=0;i!=N;i++) {
            for(uint j=0;j!=N;j++) {
                y.a[i]=(y.a[i]+ull(this->a[i][j])*x.a[j])%mod;
            }
        }
        return y;
    }
};
int main() {
    int n,m;
    scanf("%d%d",&n,&m);
    uint coef[3]{1,0,1};
    matrix<4> a,b;
    for(int i=0;i!=4;i++) {
        for(int j=0;j!=2;j++) {
            if((i&j&1)+(i>>1)==1) {
                a.a[i][i>>1|j<<1]=1;
            }
        }
        b.a[i][i]=1;
    }
    for(int i=n-2;i;i>>=1) {
        if(i&1) {
            b=a*b;
        }
        a=a*a;
    }
    for(int i=0;i!=4;i++) {
        for(int j=0;j!=4;j++) {
            if((i&j&1)+(j>>1)==1&&(j>>1&i>>1)+(i&1)==1) {
                coef[1]=plus(coef[1],b.a[i][j]);
            }
        }
    }
    uint dp[2]{};
    dp[0]=1;
    for(int i=0;1<<i<=m;i++) {
        uint dp2[2]{};
        for(int j=0;j!=2;j++) {
            for(int k=0;k<=2;k++) {
                if((j+k&1)==(m>>i&1)) {
                    dp2[j+k>>1]=(dp2[j+k>>1]+ull(coef[k])*dp[j])%mod;
                }
            }
        }
        std::copy(dp2,dp2+2,dp);
    }
    printf("%u\n",dp[0]);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 1624kb

input:

3 2

output:

4

result:

ok "4"

Test #2:

score: 0
Accepted
time: 0ms
memory: 1640kb

input:

3 0

output:

1

result:

ok "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 1588kb

input:

100 100

output:

343406454

result:

ok "343406454"

Test #4:

score: 0
Accepted
time: 0ms
memory: 1628kb

input:

686579306 119540831

output:

260602195

result:

ok "260602195"

Test #5:

score: 0
Accepted
time: 0ms
memory: 1632kb

input:

26855095 796233790

output:

492736984

result:

ok "492736984"

Test #6:

score: 0
Accepted
time: 0ms
memory: 1604kb

input:

295310488 262950628

output:

503008241

result:

ok "503008241"

Test #7:

score: 0
Accepted
time: 0ms
memory: 1608kb

input:

239670714 149827706

output:

994702969

result:

ok "994702969"

Test #8:

score: 0
Accepted
time: 0ms
memory: 1592kb

input:

790779949 110053353

output:

898252188

result:

ok "898252188"

Test #9:

score: 0
Accepted
time: 0ms
memory: 1620kb

input:

726600542 795285932

output:

183726777

result:

ok "183726777"

Test #10:

score: 0
Accepted
time: 0ms
memory: 1592kb

input:

957970519 585582861

output:

298814018

result:

ok "298814018"

Test #11:

score: 0
Accepted
time: 0ms
memory: 1612kb

input:

93349859 634036506

output:

110693443

result:

ok "110693443"

Test #12:

score: 0
Accepted
time: 0ms
memory: 1600kb

input:

453035113 34126396

output:

306244220

result:

ok "306244220"

Test #13:

score: 0
Accepted
time: 0ms
memory: 1612kb

input:

31994526 100604502

output:

930620701

result:

ok "930620701"

Test #14:

score: 0
Accepted
time: 0ms
memory: 1640kb

input:

234760741 249817734

output:

440195858

result:

ok "440195858"

Test #15:

score: 0
Accepted
time: 0ms
memory: 1640kb

input:

542621111 646412689

output:

207377992

result:

ok "207377992"

Test #16:

score: 0
Accepted
time: 0ms
memory: 1580kb

input:

28492783 602632297

output:

65234506

result:

ok "65234506"

Test #17:

score: 0
Accepted
time: 0ms
memory: 1596kb

input:

213500301 768820204

output:

540205113

result:

ok "540205113"

Test #18:

score: 0
Accepted
time: 0ms
memory: 1544kb

input:

697808101 753041955

output:

93561295

result:

ok "93561295"

Test #19:

score: 0
Accepted
time: 0ms
memory: 1624kb

input:

585126464 450455977

output:

91109717

result:

ok "91109717"

Test #20:

score: 0
Accepted
time: 0ms
memory: 1592kb

input:

236696315 482334538

output:

925575199

result:

ok "925575199"

Test #21:

score: 0
Accepted
time: 0ms
memory: 1612kb

input:

632719214 298704996

output:

358926097

result:

ok "358926097"

Test #22:

score: 0
Accepted
time: 0ms
memory: 1544kb

input:

869119333 933404114

output:

318501108

result:

ok "318501108"

Test #23:

score: 0
Accepted
time: 0ms
memory: 1544kb

input:

6977994 814763202

output:

585332987

result:

ok "585332987"

Test #24:

score: 0
Accepted
time: 0ms
memory: 1588kb

input:

3 1

output:

3

result:

ok "3"

Test #25:

score: 0
Accepted
time: 0ms
memory: 1628kb

input:

3 1000000000

output:

279679226

result:

ok "279679226"

Test #26:

score: 0
Accepted
time: 0ms
memory: 1644kb

input:

4 0

output:

1

result:

ok "1"

Test #27:

score: 0
Accepted
time: 0ms
memory: 1580kb

input:

4 1

output:

2

result:

ok "2"

Test #28:

score: 0
Accepted
time: 0ms
memory: 1640kb

input:

4 1000000000

output:

1755648

result:

ok "1755648"

Test #29:

score: 0
Accepted
time: 0ms
memory: 1560kb

input:

1000000000 0

output:

1

result:

ok "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 1632kb

input:

1000000000 1

output:

696798313

result:

ok "696798313"

Test #31:

score: 0
Accepted
time: 0ms
memory: 1600kb

input:

1000000000 1000000000

output:

703786301

result:

ok "703786301"

Extra Test:

score: 0
Extra Test Passed