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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 |
---|---|---|---|---|---|---|---|---|---|
#659265 | #9479. And DNA | ucup-team191# | AC ✓ | 0ms | 3720kb | C++23 | 1.4kb | 2024-10-19 19:25:42 | 2024-10-19 19:25:44 |
Judging History
answer
#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using ll=long long;
using pii=pair<int,int>;
using vi=vector<int>;
using vl=vector<ll>;
#define pb push_back
#define all(a) begin(a),end(a)
const int N=300010,MOD=998244353;
const char en='\n';
const ll LLINF=1ll<<60;
int mul(int a,int b)
{
return a*1ll*b%MOD;
}
int add(int a,int b)
{
if (a+b>=MOD) return a+b-MOD;
return a+b;
}
void ad(int&a,int b)
{
a+=b;
if (a>=MOD) a-=MOD;
}
int n,m;
using mat=array<array<int,3>,3>;
mat mno,id;
mat mul(mat a,mat b)
{
mat c;
for (int i=0;i<3;++i) for (int j=0;j<3;++j)
{
c[i][j]=0;
for (int k=0;k<3;++k) ad(c[i][j],mul(a[i][k],b[k][j]));
}
return c;
}
mat pot(mat a,int k)
{
if (k==0) return id;
mat r=pot(a,k/2);
r=mul(r,r);
if (k%2) r=mul(r,a);
return r;
}
int f(int x)
{
return pot(mno,x)[1][1];
}
int dp[2][50];
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
id[0][0]=1;
id[1][1]=1;
id[2][2]=1;
mno[0][1]=1;
mno[0][2]=1;
mno[1][0]=1;
mno[2][1]=1;
cin>>n>>m;
int ko=add(mul(2,f(n-2)),mul(3,f(n-3)));
dp[0][30]=1;
for (int i=29;i>=0;--i)
{
ad(dp[(m>>i)&1][i],dp[1][i+1]); //add 2
ad(dp[(m>>i)&1][i],dp[0][i+1]); //add 0
if ((m>>i)&1)
{
ad(dp[0][i],mul(ko,dp[0][i+1])); //add 1
}
else
{
ad(dp[1][i],mul(ko,dp[1][i+1])); //add 1
}
}
cout<<dp[0][0]<<en;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3664kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3720kb
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