QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#72015 | #4812. Counting Sequence | wyzwyz | AC ✓ | 2214ms | 27968kb | C++14 | 1.5kb | 2023-01-13 17:44:23 | 2023-01-13 17:44:25 |
Judging History
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;
}
Details
Tip: Click on the bar to expand more detailed information
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"