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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
#72015#4812. Counting SequencewyzwyzAC ✓2214ms27968kbC++141.5kb2023-01-13 17:44:232023-01-13 17:44:25

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 17:44:25]
  • 评测
  • 测评结果:AC
  • 用时:2214ms
  • 内存:27968kb
  • [2023-01-13 17:44:23]
  • 提交

answer

#include<cstdio>
#include<cctype>

#define maxn 1001001

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[3333][3333],*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;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 7644kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 0ms
memory: 5564kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 9708kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 2ms
memory: 5612kb

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: 1ms
memory: 5620kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 0ms
memory: 5536kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 2ms
memory: 7644kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

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

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 0ms
memory: 7636kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

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

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 1ms
memory: 7776kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 4ms
memory: 7648kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 4ms
memory: 7608kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 4ms
memory: 5688kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 0ms
memory: 9752kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 2ms
memory: 5712kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 0ms
memory: 7740kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 14ms
memory: 9756kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 37ms
memory: 8004kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 52ms
memory: 8420kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 157ms
memory: 11000kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 199ms
memory: 11244kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 375ms
memory: 14876kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 358ms
memory: 14836kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 685ms
memory: 19836kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 681ms
memory: 21716kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1091ms
memory: 21160kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1107ms
memory: 21308kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 1132ms
memory: 26596kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 1977ms
memory: 24608kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 2135ms
memory: 26160kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 2214ms
memory: 24052kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 2076ms
memory: 27968kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 2061ms
memory: 26128kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 2051ms
memory: 24456kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 2181ms
memory: 27808kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 1958ms
memory: 26216kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 1972ms
memory: 26064kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 2038ms
memory: 24616kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 1022ms
memory: 19460kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 1057ms
memory: 20492kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 1090ms
memory: 25632kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 853ms
memory: 20380kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 475ms
memory: 17920kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"