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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 |
---|---|---|---|---|---|---|---|---|---|
#772430 | #9479. And DNA | zhulexuan | AC ✓ | 0ms | 3736kb | C++14 | 2.4kb | 2024-11-22 19:31:18 | 2024-11-22 19:31:18 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define inf INT_MAX
#define fr(i,l,r) for (i=(l); i<=(r); i++)
#define rfr(i,l,r) for (i=(l); i>=(r); i--)
template<typename T>inline void read(T &n){
T w=1; n=0; char ch=getchar();
while (!isdigit(ch) && ch!=EOF){ if (ch=='-') w=-1; ch=getchar(); }
while (isdigit(ch) && ch!=EOF){ n=(n<<3)+(n<<1)+(ch&15); ch=getchar(); }
n*=w;
}
template<typename T>inline void write(T x){
if (x==0){ putchar('0'); return ; }
T tmp;
if (x>0) tmp=x;
else tmp=-x;
if (x<0) putchar('-');
char F[105];
long long cnt=0;
while (tmp){
F[++cnt]=tmp%10+48;
tmp/=10;
}
while (cnt) putchar(F[cnt--]);
}
#define Min(x,y) x = min(x,y)
#define Max(x,y) x = max(x,y)
//基础配置=================================================================================
const ll mod = 998244353;
ll n,m,bsv;
struct matrix{
ll a[4][4];
void clear(){
memset(a,0,sizeof(a));
}
};
matrix operator * (const matrix x,const matrix y){
matrix ans; ans.clear();
ll i,j,k;
fr(i,0,3)
fr(j,0,3)
fr(k,0,3)
( ans.a[i][k] += x.a[i][j] * y.a[j][k] ) %=mod;
return ans;
}
matrix trs;
matrix pw(matrix x,ll y){
matrix ans = x; y--;
while (y){
if (y&1) ans = ans*x;
x = x*x;
y >>= 1;
}
return ans;
}
ll calc(ll n){
trs.clear();
trs.a[1][2] = 1;
trs.a[1][3] = 1;
trs.a[2][1] = 1;
trs.a[3][2] = 1;
matrix st; ll ans = 0;
//01
st.clear();
st.a[1][1] = 1;
st = st*pw(trs,n-2);
( ans += st.a[1][1] + st.a[1][3] ) %=mod;
//10
st.clear();
st.a[1][2] = 1;
st = st*pw(trs,n-2);
( ans += st.a[1][1] + st.a[1][2] ) %=mod;
//11
st.clear();
st.a[1][3] = 1;
st = st*pw(trs,n-2);
( ans += st.a[1][2] ) %=mod;
return ans;
}
map<ll,ll> mp;
ll solve(ll m){
if (m==0) return 1;
if (mp.count(m)) return mp[m];
if (m&1) return mp[m] = bsv*solve(m>>1) %mod;
else return mp[m] = ( solve(m>>1) + solve((m-1)>>1) ) %mod;
}
int main(){
// freopen("a.in","r",stdin);
// freopen(".out","w",stdout);
read(n); read(m);
bsv = calc(n);
write((solve(m)%mod+mod)%mod);
return 0;
}
//g++ a.cpp -o a -Wall -Wl,--stack=512000000 -std=c++11 -O2
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3732kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3700kb
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: 3692kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3580kb
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: 3712kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed