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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 |
---|---|---|---|---|---|---|---|---|---|
#790510 | #9479. And DNA | Crying | AC ✓ | 1ms | 3716kb | C++14 | 2.0kb | 2024-11-28 12:55:30 | 2024-11-28 12:55:31 |
Judging History
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;
}
詳細信息
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