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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#37671 | #1254. Biggest Set Ever | NaCly_Fishtest | AC ✓ | 250ms | 14220kb | C++14 | 3.1kb | 2022-07-02 14:13:59 | 2022-07-02 14:14:00 |
Judging History
answer
#include<cstdio>
#include<iostream>
#include<algorithm>
#include<cstring>
#include<vector>
#include<cmath>
#define N 262147
#define ll long long
#define p 998244353
using namespace std;
inline int add(const int& x,const int& y){ return x+y>=p?x+y-p:x+y; }
inline int power(int a,int t){
int res = 1;
while(t){
if(t&1) res = (ll)res*a%p;
a = (ll)a*a%p;
t >>= 1;
}
return res;
}
int siz;
int rev[N],rt[N];
void init(int n){
int lim = 1;
while(lim<=n) lim <<= 1,++siz;
for(int i=0;i!=lim;++i) rev[i] = (rev[i>>1]>>1)|((i&1)<<(siz-1));
int w = power(3,(p-1)>>siz);
rt[lim>>1] = 1;
for(int i=(lim>>1)+1;i!=lim;++i) rt[i] = (ll)rt[i-1]*w%p;
for(int i=(lim>>1)-1;i;--i) rt[i] = rt[i<<1];
}
inline void dft(int *f,int n){
static int a[N];
int x,shift = siz-__builtin_ctz(n);
for(int i=0;i!=n;++i) a[rev[i]>>shift] = f[i];
for(int mid=1;mid!=n;mid<<=1)
for(int j=0;j!=n;j+=(mid<<1))
for(int k=0;k!=mid;++k){
x = (ll)a[j|k|mid]*rt[mid|k]%p;
a[j|k|mid] = (a[j|k]+p-x)%p;
a[j|k] = (a[j|k]+x)%p;
}
for(int i=0;i!=n;++i) f[i] = a[i];
}
inline void idft(int *f,int n){
reverse(f+1,f+n);
dft(f,n);
int x = p-((p-1)>>__builtin_ctz(n));
for(int i=0;i!=n;++i) f[i] = (ll)f[i]*x%p;
}
inline int getlen(int n){
return 1<<(32-__builtin_clz(n));
}
inline void multiply(const int *f,const int *g,int n,int *r){
static int A[N],B[N];
memcpy(A,f,n<<2),memcpy(B,g,n<<2);
int lim = getlen(n<<1);
memset(A+n,0,(lim-n+2)<<2),memset(B+n,0,(lim-n+2)<<2);
dft(A,lim),dft(B,lim);
for(int i=0;i!=lim;++i) A[i] = (ll)A[i]*B[i]%p;
idft(A,lim);
for(int i=0;i<n;++i) r[i] = add(A[i],A[i+n]);
}
inline void poly_pow(const int *f,int n,int t,int *r){
static int g[N],h[N];
memset(g,0,(n+1)<<3);
memset(h,0,(n+1)<<3);
memcpy(h,f,n<<2);
g[0] = 1;
while(t){
if(t&1) multiply(g,h,n,g);
t >>= 1;
if(t==0) break;
multiply(h,h,n,h);
}
for(int i=0;i!=n;++i) r[i] = g[i];
}
int n,rem,len,mdn,tmp,pw;
int T[N],qT[N],f[N],g[N];
char str[N];
ll ans;
int main(){
//freopen("input.txt","r",stdin);
scanf("%d%d",&n,&rem);
init(n<<2);
scanf("%s",str);
len = strlen(str);
for(int i=0;i!=len;++i) T[i] = str[len-i-1]-'0';
T[0]--;
for(int i=0;i<len;++i){
if(T[i]>=0) break;
T[i+1]--;
T[i] += 10;
}
if(T[len-1]==0) --len;
for(int i=len-1;~i;--i) mdn = (mdn*10+T[i])%n;
for(int i=len-1;~i;--i){
tmp = tmp*10+T[i];
qT[i] = tmp/n;
tmp %= n;
}
bool flag = false;
for(int i=len-1;~i;--i){
if(pw*10ll+qT[i]>p-1) flag = true;
pw = (pw*10ll+qT[i])%(p-1);
}
f[0] = 2;
if(mdn==0) g[0] = 2;
for(int i=1;i<n;++i){
for(int j=(n<<1);j>=i;--j) f[j] = add(f[j],f[j-i]);
for(int j=0;j!=n;++j){
f[j] = add(f[j],f[j+n]);
f[j+n] = 0;
}
if(i==mdn) memcpy(g,f,n<<2);
}
if(pw==0&&flag) pw = p-1;
poly_pow(f,n,pw,f);
int lim = getlen(n<<1);
memset(f+n,0,(lim-n+2)<<2);
for(int i=0;i<=rem;++i) ans += (ll)f[i]*g[rem-i]%p;
for(int i=0;i<=n+rem;++i) ans += (ll)f[i]*g[n+rem-i]%p;
printf("%lld",ans%p);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 5ms
memory: 13928kb
input:
3 2 5
output:
8
result:
ok single line: '8'
Test #2:
score: 0
Accepted
time: 2ms
memory: 13876kb
input:
1 0 20
output:
1048576
result:
ok single line: '1048576'
Test #3:
score: 0
Accepted
time: 2ms
memory: 13960kb
input:
10 8 97441781169999
output:
39483594
result:
ok single line: '39483594'
Test #4:
score: 0
Accepted
time: 0ms
memory: 11956kb
input:
10 0 73529553919999
output:
913188246
result:
ok single line: '913188246'
Test #5:
score: 0
Accepted
time: 2ms
memory: 13992kb
input:
10 5 7216893652
output:
803006513
result:
ok single line: '803006513'
Test #6:
score: 0
Accepted
time: 5ms
memory: 13996kb
input:
51 4 490466735660935366104362911237439817660296497884511278059120667639249811034386376211440059814876153833104198879999
output:
754741857
result:
ok single line: '754741857'
Test #7:
score: 0
Accepted
time: 2ms
memory: 13932kb
input:
45 0 6216871967465786523158710331777577058507955388049665933617608862925909208090781993189722633093256714163855609550090284484136100755698161980229368887021285893611742334609577808667250730098679567168835635687562524497440298178123243152474212724715349775392879081815671155873083166544656572426801376...
output:
247716490
result:
ok single line: '247716490'
Test #8:
score: 0
Accepted
time: 6ms
memory: 14000kb
input:
123 95 82762777129999
output:
104574851
result:
ok single line: '104574851'
Test #9:
score: 0
Accepted
time: 2ms
memory: 13932kb
input:
100 8 31437474627210849758566270683758273881261075882083602376365854183768172131884521374556483688326470349999
output:
204425046
result:
ok single line: '204425046'
Test #10:
score: 0
Accepted
time: 1ms
memory: 13928kb
input:
101 65 129135732687243444162224693341284265097302999818949156642879266983062901971745283891629743024085567839999
output:
902554661
result:
ok single line: '902554661'
Test #11:
score: 0
Accepted
time: 2ms
memory: 11968kb
input:
102 0 3488151969475412325389878205822308160017247852281650623347454005909349359794006198664575307015721114499999
output:
162486241
result:
ok single line: '162486241'
Test #12:
score: 0
Accepted
time: 4ms
memory: 12020kb
input:
1012 291 7646813626
output:
980146392
result:
ok single line: '980146392'
Test #13:
score: 0
Accepted
time: 2ms
memory: 13960kb
input:
10 1 8252321334895940615769970904772140913784950414733677250236907211278760730743749190165425246198980003063223759998857676592610546612494049860039116369420896260329913339201912705127782100719073680933781912596330763621573961781964610789874205137283507240907978239171437180129623254976853141357534721...
output:
652741132
result:
ok single line: '652741132'
Test #14:
score: 0
Accepted
time: 219ms
memory: 14064kb
input:
10000 7418 3245239614838766441165109131458206859599048822364196500920217765340625035454604743711500986644932444050563968810069079688108908878846571710567968402401812796927116289077099295526340820005662199516680283500266534222567954309211983031474586099314642398538154929871106845369013158161741156285...
output:
698356153
result:
ok single line: '698356153'
Test #15:
score: 0
Accepted
time: 232ms
memory: 12348kb
input:
9999 779 358336376636226042717427621455961243958393374012413730691317569180699582766828947496902145881339115917085532012414592514320100982450700615324388139090946345231102734023340224881463299658303159811283914016535239877151817544726113079790779414960958512664223829472539894897355539363031791406089...
output:
837883243
result:
ok single line: '837883243'
Test #16:
score: 0
Accepted
time: 235ms
memory: 14132kb
input:
10000 0 5959081123960981456052979042226085365217802503520521998482870583390422819313350263042136451463933153462392827184151729621677652847629006369849703956071611814775739516186470151700231702587051465357283648453972097435393937208562095551505345722276019216674741689533178156201652677931133018670075...
output:
924699691
result:
ok single line: '924699691'
Test #17:
score: 0
Accepted
time: 179ms
memory: 14180kb
input:
10000 9535 4529914918413777622528043117043450937202591529390096894597801955131392043838551780190373994052685563959267673748578051484778843491690348530040553041327206108222053240121197654468570203072462947279505179444683716795754611201162765280673498257918169149948361212426058346508829709396950512100...
output:
984036477
result:
ok single line: '984036477'
Test #18:
score: 0
Accepted
time: 216ms
memory: 14176kb
input:
9240 4639 27361723410151521150732754757747824591816341408004277395827380018571695767504374102641417978743103148415278527868597085535196798439563729486914117045504466181228391680543038904853912910914033179148538533773830859471039264891096812737067663728830538925263207278489348217296058385024096176645...
output:
918206285
result:
ok single line: '918206285'
Test #19:
score: 0
Accepted
time: 196ms
memory: 14156kb
input:
8640 0 36542487284167251663740647042989590271004990959161565599035618320359555884164889579638216196822119364835481192513876617252278990351166475479529866772377957875189299536492571051813538976297743058308068985113568320877021600430398281676260145773030952556440352937340499556103082922663344786146031...
output:
183559339
result:
ok single line: '183559339'
Test #20:
score: 0
Accepted
time: 201ms
memory: 12364kb
input:
8400 300 288271854704449002303660023988228953095431900267967796390634942331317772470120001601892932430552455756800781384921666042619127984502628855577098517482540354318793004328371417736520135839821219973136389836602550635594752488595369449820630558647394225301132623150116886896899160930010237898661...
output:
236192822
result:
ok single line: '236192822'
Test #21:
score: 0
Accepted
time: 220ms
memory: 14220kb
input:
9900 7932 60696943972373113723790595629126483514286522739943462090310067978198194825062752363577899690215576140733032790987877947244269329280647842553127506268616051081441746603578834885861401552062986268589398127724619814495854782291653679848340686262859158150894989658137076297136845970234357040248...
output:
957197274
result:
ok single line: '957197274'
Test #22:
score: 0
Accepted
time: 126ms
memory: 12136kb
input:
8064 0 47334321587030653743112677374440705129805126456129176300634909485205142778452960069919888488272962888344558362309553430584472473664877747506095230385831376281275441466113307422446138481496975295148631099507964104577181484367166622611546731949305572711810831571898086598100505274361166695152297...
output:
669865153
result:
ok single line: '669865153'
Test #23:
score: 0
Accepted
time: 113ms
memory: 14124kb
input:
7560 4251 33923778033803241908219943724011782970171842843279830346925914273149746589031596306410354155061775627084155077246765927736846008968413480151788681683200760666695266835650540805104008248152259180695495822884752048464024168111056913040542477162151971025210582160878305329922703362973968810986...
output:
416930414
result:
ok single line: '416930414'
Test #24:
score: 0
Accepted
time: 0ms
memory: 11944kb
input:
1 0 1
output:
2
result:
ok single line: '2'
Test #25:
score: 0
Accepted
time: 1ms
memory: 11944kb
input:
20 0 1
output:
2
result:
ok single line: '2'
Test #26:
score: 0
Accepted
time: 4ms
memory: 11948kb
input:
20 13 1
output:
0
result:
ok single line: '0'
Test #27:
score: 0
Accepted
time: 250ms
memory: 14132kb
input:
10000 4469 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
290641673
result:
ok single line: '290641673'
Test #28:
score: 0
Accepted
time: 119ms
memory: 14164kb
input:
7560 4041 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
74525042
result:
ok single line: '74525042'
Test #29:
score: 0
Accepted
time: 220ms
memory: 14140kb
input:
9973 5944 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
881015534
result:
ok single line: '881015534'
Test #30:
score: 0
Accepted
time: 211ms
memory: 14124kb
input:
9240 105 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
971384312
result:
ok single line: '971384312'
Test #31:
score: 0
Accepted
time: 64ms
memory: 10072kb
input:
9240 407 3576
output:
801993513
result:
ok single line: '801993513'
Test #32:
score: 0
Accepted
time: 184ms
memory: 14152kb
input:
9240 551 204209679712117827730880226353510653024223856012233043639816521107053027427255530900909664190550923070609753205194078932813278453978969048551211039657884854091997550079122709572652601873661760656527148885540570009859983720628938737170862051434146563351143193685385454224852792784922646291244...
output:
119770088
result:
ok single line: '119770088'
Test #33:
score: 0
Accepted
time: 182ms
memory: 12308kb
input:
9192 1641 28752004253121823698377995642551444541478381100254351866855183106035619529957426500407613584351534638072131717174182778385021012676126168908318080221306891576946788376768991282644482141901027923976862288282903183550700780004336592004853856682722677717408026522325784466832796601495789309612...
output:
634482984
result:
ok single line: '634482984'
Test #34:
score: 0
Accepted
time: 55ms
memory: 11984kb
input:
9108 417 2572
output:
585665409
result:
ok single line: '585665409'