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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
#72014#4812. Counting SequencewyzwyzWA 1954ms18840kbC++141.5kb2023-01-13 17:43:262023-01-13 17:43:30

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-01-13 17:43:30]
  • 评测
  • 测评结果:WA
  • 用时:1954ms
  • 内存:18840kb
  • [2023-01-13 17:43:26]
  • 提交

answer

#include<cstdio>
#include<cctype>

#define maxn 505505

const int mod=998244353;

template<class T>

inline T read(){
    T r=0,f=0;
    char c;
    while(!isdigit(c=getchar()))f|=(c=='-');
    while(isdigit(c))r=(r<<1)+(r<<3)+(c^48),c=getchar();
    return f?-r:r;
}

template<class T>

inline T min(T a,T b){
	return a<b?a:b;
}

int n,w,B,lim;

int tmp[2222][2222],*f[maxn],g[2][maxn];

inline void Add(int &x,int y){
	x+=y-mod,x+=(x>>31)&mod;
}

int main(){
    n=read<int>();
    w=read<int>()%mod;
    while(B*(B+1)/2<n)B++;
    for(lim=B+1;lim*(lim+1)/2-B*(B+1)/2<=n;lim++);
    for(int i=0;i<=n;i++)f[i]=tmp[i%lim];
    for(int i=1;i<=B;i++)f[i][i]=1;
    for(int i=1;i<n;i++){
    	int Lim=min(min(i,lim),n-i+1);
    	for(int j=1;j<=Lim;j++){
    		if(!f[i][j])continue;
    		if(j>1)f[i+j-1][j-1]=(f[i+j-1][j-1]+1ll*f[i][j]*w)%mod;
    		if(i+j+1<=n)Add(f[i+j+1][j+1],f[i][j]);
    		f[i][j]=0;
    	}
    }
    int LIM=2*n/(B+1)-1,L=(LIM+1)*(B+1);
    for(int i=LIM,o=LIM&1;~i;i--,o^=1){
    	int Lim=2*n/(i+1);
    	for(int j=B+1;j<=Lim;j++)
			g[o][j*(i+1)]++;
    	if(!i)break;
    	L=min(L,(B+1)*(i+1));
    	for(int j=L;j<=2*n;j++){
    		if(!g[o][j])continue;
    		if(j+i<=2*n)Add(g[o^1][j+i],g[o][j]);
    		g[o^1][j-i]=(g[o^1][j-i]+1ll*g[o][j]*w)%mod;
    		g[o][j]=0;
    	}
    	L-=i;
    }
    long long ans=g[0][n];
    for(int i=1;i<=lim;i++)ans+=f[n][i];
    printf("%lld\n",ans%mod);
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 3ms
memory: 7608kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 0ms
memory: 5572kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 7676kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 0ms
memory: 5528kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2ms
memory: 5532kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 2ms
memory: 5608kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 2ms
memory: 5580kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5588kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 2ms
memory: 7716kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2ms
memory: 7640kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 2ms
memory: 7576kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 1ms
memory: 5680kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 3ms
memory: 7660kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 3ms
memory: 9652kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 2ms
memory: 9716kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 5ms
memory: 7720kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 5ms
memory: 7724kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 2ms
memory: 5680kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 5ms
memory: 5576kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 6ms
memory: 9844kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 25ms
memory: 8028kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 51ms
memory: 12088kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 111ms
memory: 8896kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 194ms
memory: 9424kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 366ms
memory: 13432kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 352ms
memory: 12540kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 684ms
memory: 15404kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 667ms
memory: 13568kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1059ms
memory: 16808kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1064ms
memory: 17036kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 1106ms
memory: 18840kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: -100
Wrong Answer
time: 1954ms
memory: 18756kb

input:

300000 1

output:

153392993

result:

wrong answer 1st numbers differ - expected: '298803948', found: '153392993'