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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 |
---|---|---|---|---|---|---|---|---|---|
#14879 | #1810. Generate the Sequences | running | AC ✓ | 54ms | 3820kb | C++17 | 1.4kb | 2021-10-18 18:09:30 | 2022-05-17 01:10:17 |
Judging History
answer
#include <bits/stdc++.h>
#pragma GCC optimize(3)
//#define int long long
#define ri register
#define mk make_pair
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define is insert
#define es erase
#define vi vector<int>
#define vpi vector<pair<int,int>>
using namespace std; const int N=3010, Mod=998244353;
inline int read()
{
int s=0, w=1; ri char ch=getchar();
while(ch<'0'||ch>'9') { if(ch=='-') w=-1; ch=getchar(); }
while(ch>='0'&&ch<='9') s=(s<<3)+(s<<1)+(ch^48), ch=getchar();
return s*w;
}
int n,m,f[N],fac[N+5],inv[N+5],iiv[N+5];
inline int ksc(int x,int p) { int res=1; for(;p;p>>=1, x=1ll*x*x%Mod) if(p&1) res=1ll*res*x%Mod; return res; }
inline int C(int x,int y) { if(x<y||x<0||y<0) return 0; return 1ll*fac[x]*inv[x-y]%Mod*inv[y]%Mod; }
signed main()
{
fac[0]=1;
for(ri int i=1;i<=N;i++) fac[i]=1ll*fac[i-1]*i%Mod;
inv[N]=ksc(fac[N],Mod-2);
for(ri int i=N;i;i--) inv[i-1]=1ll*inv[i]*i%Mod;
iiv[1]=1;
for(ri int i=2;i<=N;i++) iiv[i]=1ll*(Mod-Mod/i)*iiv[Mod%i]%Mod;
n=read()+1, m=read();
f[1]=1;
for(ri int i=2;i<=n;i++)
{
f[i]=f[i-1];
int fir=1,sec=1;
for(ri int k=0;k<=min(i,m)-2;k++)
{
f[i]=(f[i]+1ll*f[i-k-1]*fir%Mod*sec%Mod*C(n-i+k,k)%Mod)%Mod;
fir=1ll*fir*(m-2-k)%Mod*iiv[k+1]%Mod, sec=1ll*sec*(k+1)%Mod;
}
}
printf("%d\n",f[n]);
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3764kb
input:
2 3
output:
5
result:
ok answer is '5'
Test #2:
score: 0
Accepted
time: 11ms
memory: 3708kb
input:
1024 52689658
output:
654836147
result:
ok answer is '654836147'
Test #3:
score: 0
Accepted
time: 3ms
memory: 3756kb
input:
1 2
output:
2
result:
ok answer is '2'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
1 3
output:
2
result:
ok answer is '2'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
1 100000000
output:
2
result:
ok answer is '2'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
2 2
output:
4
result:
ok answer is '4'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3728kb
input:
2 4
output:
6
result:
ok answer is '6'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3684kb
input:
2 5
output:
7
result:
ok answer is '7'
Test #9:
score: 0
Accepted
time: 3ms
memory: 3728kb
input:
2 100000000
output:
100000002
result:
ok answer is '100000002'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3732kb
input:
3 2
output:
8
result:
ok answer is '8'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3732kb
input:
3 3
output:
14
result:
ok answer is '14'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3700kb
input:
3 4
output:
22
result:
ok answer is '22'
Test #13:
score: 0
Accepted
time: 3ms
memory: 3744kb
input:
3 5
output:
32
result:
ok answer is '32'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
3 100000000
output:
446563791
result:
ok answer is '446563791'
Test #15:
score: 0
Accepted
time: 3ms
memory: 3776kb
input:
3000 2
output:
21292722
result:
ok answer is '21292722'
Test #16:
score: 0
Accepted
time: 2ms
memory: 3692kb
input:
3000 3
output:
172222927
result:
ok answer is '172222927'
Test #17:
score: 0
Accepted
time: 52ms
memory: 3624kb
input:
3000 100000000
output:
736503947
result:
ok answer is '736503947'
Test #18:
score: 0
Accepted
time: 37ms
memory: 3700kb
input:
2522 61077387
output:
857454425
result:
ok answer is '857454425'
Test #19:
score: 0
Accepted
time: 4ms
memory: 3660kb
input:
426 7215704
output:
799491736
result:
ok answer is '799491736'
Test #20:
score: 0
Accepted
time: 3ms
memory: 3780kb
input:
772 72289915
output:
848141383
result:
ok answer is '848141383'
Test #21:
score: 0
Accepted
time: 11ms
memory: 3776kb
input:
1447 83321470
output:
160422285
result:
ok answer is '160422285'
Test #22:
score: 0
Accepted
time: 40ms
memory: 3752kb
input:
2497 64405193
output:
355300540
result:
ok answer is '355300540'
Test #23:
score: 0
Accepted
time: 6ms
memory: 3732kb
input:
775 9385367
output:
470172346
result:
ok answer is '470172346'
Test #24:
score: 0
Accepted
time: 5ms
memory: 3772kb
input:
982 72596758
output:
7144187
result:
ok answer is '7144187'
Test #25:
score: 0
Accepted
time: 4ms
memory: 3820kb
input:
417 26177178
output:
776374896
result:
ok answer is '776374896'
Test #26:
score: 0
Accepted
time: 20ms
memory: 3752kb
input:
1932 19858856
output:
285834553
result:
ok answer is '285834553'
Test #27:
score: 0
Accepted
time: 46ms
memory: 3688kb
input:
2728 23009122
output:
433516287
result:
ok answer is '433516287'
Test #28:
score: 0
Accepted
time: 17ms
memory: 3708kb
input:
1857 22578508
output:
243488639
result:
ok answer is '243488639'
Test #29:
score: 0
Accepted
time: 54ms
memory: 3696kb
input:
2918 69623276
output:
546299707
result:
ok answer is '546299707'
Test #30:
score: 0
Accepted
time: 19ms
memory: 3752kb
input:
1679 21332149
output:
217000656
result:
ok answer is '217000656'
Test #31:
score: 0
Accepted
time: 13ms
memory: 3784kb
input:
1340 6251797
output:
267221018
result:
ok answer is '267221018'
Test #32:
score: 0
Accepted
time: 7ms
memory: 3620kb
input:
868 64770398
output:
652067665
result:
ok answer is '652067665'