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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 |
---|---|---|---|---|---|---|---|---|---|
#69648 | #1254. Biggest Set Ever | eyiigjkn | AC ✓ | 191ms | 3980kb | C++14 | 2.2kb | 2022-12-29 13:24:03 | 2022-12-29 13:24:05 |
Judging History
answer
# include <bits/stdc++.h>
using namespace std;
using ll=long long;
using Poly=vector<int>;
constexpr int mod=998244353;
int maxn=0,d[10010],phi[10010],F[10010],G[10010],H[10010];
char str[100010];
inline int add(int x,int y){return (x+=y)<mod?x:x-mod;}
inline void upd(int &x,const int &y){if((x+=y)>=mod) x-=mod;}
inline void upd(int &x,const ll &y){x=(x+y)%mod;}
int power(int a,int b)
{
int ans=1;
for(;b;b>>=1,a=(ll)a*a%mod)
if(b&1) ans=(ll)ans*a%mod;
return ans;
}
void init(int n)
{
for(int i=1;i*i<=n;i++)
if(n%i==0)
{
d[++maxn]=i;
if(i*i<n) d[++maxn]=n/i;
}
sort(d+1,d+maxn+1);
vector<int> P;
for(int i=2;i*i<=n;i++)
if(n%i==0)
{
P.push_back(i);
while(n%i==0) n/=i;
}
if(n>1) P.push_back(n);
for(int i=1;i<=maxn;i++)
{
phi[i]=d[i];
for(int j:P)
if(d[i]%j==0)
phi[i]=phi[i]/j*(j-1);
}
}
void NTT(int *a,bool flag)
{
static int b[10010];
for(int i=maxn;i;i--)
{
ll s=0;
for(int j=1;j<=maxn;j++)
if(d[i]*d[j]%d[maxn]==0)
s+=(ll)a[j]*phi[maxn-j+1];
s=s%mod*d[maxn-i+1];
for(int j=i+1;j<=maxn;j++)
if(d[j]%d[i]==0)
s+=(ll)(mod-b[j])*phi[maxn-j+1];
b[i]=s%mod*power(phi[maxn-i+1],mod-2)%mod;
}
memcpy(a+1,b+1,sizeof(int)*maxn);
if(flag) return;
int invn=power(d[maxn],mod-2);
for(int i=1;i<=maxn;i++) a[i]=(ll)a[i]*invn%mod;
}
int main()
{
int n,t,r=0,m=0,ans=0;
bool is0=1;
scanf("%d%d%s",&n,&t,str);
for(int i=0;str[i];i++)
{
r=r*10+str[i]-'0';
m=(10ll*m+r/n)%(mod-1);
is0&=(r<n);r%=n;
}
m+=mod-1;
F[0]=G[0]=1;
for(int i=0;i<n;i++)
{
static int tmp[10010];
memcpy(tmp,F,sizeof(int)*n);
for(int j=0;j<n;j++) upd(F[i+j<n?i+j:i+j-n],tmp[j]);
}
for(int i=0;i<r;i++)
{
static int tmp[10010];
memcpy(tmp,G,sizeof(int)*n);
for(int j=0;j<n;j++) upd(G[i+j<n?i+j:i+j-n],tmp[j]);
}
if(is0) return cout<<G[t]<<endl,0;
init(n);
for(int i=1;i<maxn;i++) H[i]=F[d[i]];
H[maxn]=F[0];
NTT(H,1);
for(int i=1;i<=maxn;i++) H[i]=power(H[i],m);
NTT(H,0);
for(int i=0;i<n;i++) F[i]=H[lower_bound(d+1,d+maxn+1,__gcd(n,i))-d];
for(int i=0;i<=t;i++) upd(ans,(ll)F[i]*G[t-i]);
for(int i=t+1;i<n;i++) upd(ans,(ll)F[i]*G[t-i+n]);
cout<<ans<<endl;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 2ms
memory: 3524kb
input:
3 2 5
output:
8
result:
ok single line: '8'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3488kb
input:
1 0 20
output:
1048576
result:
ok single line: '1048576'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
10 8 97441781169999
output:
39483594
result:
ok single line: '39483594'
Test #4:
score: 0
Accepted
time: 2ms
memory: 3580kb
input:
10 0 73529553919999
output:
913188246
result:
ok single line: '913188246'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3496kb
input:
10 5 7216893652
output:
803006513
result:
ok single line: '803006513'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3528kb
input:
51 4 490466735660935366104362911237439817660296497884511278059120667639249811034386376211440059814876153833104198879999
output:
754741857
result:
ok single line: '754741857'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3544kb
input:
45 0 6216871967465786523158710331777577058507955388049665933617608862925909208090781993189722633093256714163855609550090284484136100755698161980229368887021285893611742334609577808667250730098679567168835635687562524497440298178123243152474212724715349775392879081815671155873083166544656572426801376...
output:
247716490
result:
ok single line: '247716490'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3752kb
input:
123 95 82762777129999
output:
104574851
result:
ok single line: '104574851'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
100 8 31437474627210849758566270683758273881261075882083602376365854183768172131884521374556483688326470349999
output:
204425046
result:
ok single line: '204425046'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3488kb
input:
101 65 129135732687243444162224693341284265097302999818949156642879266983062901971745283891629743024085567839999
output:
902554661
result:
ok single line: '902554661'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3540kb
input:
102 0 3488151969475412325389878205822308160017247852281650623347454005909349359794006198664575307015721114499999
output:
162486241
result:
ok single line: '162486241'
Test #12:
score: 0
Accepted
time: 4ms
memory: 3552kb
input:
1012 291 7646813626
output:
980146392
result:
ok single line: '980146392'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3488kb
input:
10 1 8252321334895940615769970904772140913784950414733677250236907211278760730743749190165425246198980003063223759998857676592610546612494049860039116369420896260329913339201912705127782100719073680933781912596330763621573961781964610789874205137283507240907978239171437180129623254976853141357534721...
output:
652741132
result:
ok single line: '652741132'
Test #14:
score: 0
Accepted
time: 186ms
memory: 3728kb
input:
10000 7418 3245239614838766441165109131458206859599048822364196500920217765340625035454604743711500986644932444050563968810069079688108908878846571710567968402401812796927116289077099295526340820005662199516680283500266534222567954309211983031474586099314642398538154929871106845369013158161741156285...
output:
698356153
result:
ok single line: '698356153'
Test #15:
score: 0
Accepted
time: 92ms
memory: 3968kb
input:
9999 779 358336376636226042717427621455961243958393374012413730691317569180699582766828947496902145881339115917085532012414592514320100982450700615324388139090946345231102734023340224881463299658303159811283914016535239877151817544726113079790779414960958512664223829472539894897355539363031791406089...
output:
837883243
result:
ok single line: '837883243'
Test #16:
score: 0
Accepted
time: 191ms
memory: 3752kb
input:
10000 0 5959081123960981456052979042226085365217802503520521998482870583390422819313350263042136451463933153462392827184151729621677652847629006369849703956071611814775739516186470151700231702587051465357283648453972097435393937208562095551505345722276019216674741689533178156201652677931133018670075...
output:
924699691
result:
ok single line: '924699691'
Test #17:
score: 0
Accepted
time: 165ms
memory: 3724kb
input:
10000 9535 4529914918413777622528043117043450937202591529390096894597801955131392043838551780190373994052685563959267673748578051484778843491690348530040553041327206108222053240121197654468570203072462947279505179444683716795754611201162765280673498257918169149948361212426058346508829709396950512100...
output:
984036477
result:
ok single line: '984036477'
Test #18:
score: 0
Accepted
time: 159ms
memory: 3652kb
input:
9240 4639 27361723410151521150732754757747824591816341408004277395827380018571695767504374102641417978743103148415278527868597085535196798439563729486914117045504466181228391680543038904853912910914033179148538533773830859471039264891096812737067663728830538925263207278489348217296058385024096176645...
output:
918206285
result:
ok single line: '918206285'
Test #19:
score: 0
Accepted
time: 110ms
memory: 3744kb
input:
8640 0 36542487284167251663740647042989590271004990959161565599035618320359555884164889579638216196822119364835481192513876617252278990351166475479529866772377957875189299536492571051813538976297743058308068985113568320877021600430398281676260145773030952556440352937340499556103082922663344786146031...
output:
183559339
result:
ok single line: '183559339'
Test #20:
score: 0
Accepted
time: 82ms
memory: 3672kb
input:
8400 300 288271854704449002303660023988228953095431900267967796390634942331317772470120001601892932430552455756800781384921666042619127984502628855577098517482540354318793004328371417736520135839821219973136389836602550635594752488595369449820630558647394225301132623150116886896899160930010237898661...
output:
236192822
result:
ok single line: '236192822'
Test #21:
score: 0
Accepted
time: 167ms
memory: 3980kb
input:
9900 7932 60696943972373113723790595629126483514286522739943462090310067978198194825062752363577899690215576140733032790987877947244269329280647842553127506268616051081441746603578834885861401552062986268589398127724619814495854782291653679848340686262859158150894989658137076297136845970234357040248...
output:
957197274
result:
ok single line: '957197274'
Test #22:
score: 0
Accepted
time: 81ms
memory: 3968kb
input:
8064 0 47334321587030653743112677374440705129805126456129176300634909485205142778452960069919888488272962888344558362309553430584472473664877747506095230385831376281275441466113307422446138481496975295148631099507964104577181484367166622611546731949305572711810831571898086598100505274361166695152297...
output:
669865153
result:
ok single line: '669865153'
Test #23:
score: 0
Accepted
time: 79ms
memory: 3752kb
input:
7560 4251 33923778033803241908219943724011782970171842843279830346925914273149746589031596306410354155061775627084155077246765927736846008968413480151788681683200760666695266835650540805104008248152259180695495822884752048464024168111056913040542477162151971025210582160878305329922703362973968810986...
output:
416930414
result:
ok single line: '416930414'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3520kb
input:
1 0 1
output:
2
result:
ok single line: '2'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3724kb
input:
20 0 1
output:
2
result:
ok single line: '2'
Test #26:
score: 0
Accepted
time: 2ms
memory: 3568kb
input:
20 13 1
output:
0
result:
ok single line: '0'
Test #27:
score: 0
Accepted
time: 189ms
memory: 3720kb
input:
10000 4469 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
290641673
result:
ok single line: '290641673'
Test #28:
score: 0
Accepted
time: 76ms
memory: 3732kb
input:
7560 4041 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
74525042
result:
ok single line: '74525042'
Test #29:
score: 0
Accepted
time: 176ms
memory: 3804kb
input:
9973 5944 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
881015534
result:
ok single line: '881015534'
Test #30:
score: 0
Accepted
time: 94ms
memory: 3752kb
input:
9240 105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
971384312
result:
ok single line: '971384312'
Test #31:
score: 0
Accepted
time: 111ms
memory: 3672kb
input:
9240 407 3576
output:
801993513
result:
ok single line: '801993513'
Test #32:
score: 0
Accepted
time: 90ms
memory: 3752kb
input:
9240 551 204209679712117827730880226353510653024223856012233043639816521107053027427255530900909664190550923070609753205194078932813278453978969048551211039657884854091997550079122709572652601873661760656527148885540570009859983720628938737170862051434146563351143193685385454224852792784922646291244...
output:
119770088
result:
ok single line: '119770088'
Test #33:
score: 0
Accepted
time: 98ms
memory: 3772kb
input:
9192 1641 28752004253121823698377995642551444541478381100254351866855183106035619529957426500407613584351534638072131717174182778385021012676126168908318080221306891576946788376768991282644482141901027923976862288282903183550700780004336592004853856682722677717408026522325784466832796601495789309612...
output:
634482984
result:
ok single line: '634482984'
Test #34:
score: 0
Accepted
time: 103ms
memory: 3644kb
input:
9108 417 2572
output:
585665409
result:
ok single line: '585665409'