QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#377836 | #7996. 报数 IV | Destiny | AC ✓ | 983ms | 60836kb | C++17 | 5.3kb | 2024-04-05 18:35:25 | 2024-04-05 18:35:25 |
Judging History
answer
#include<bits/stdc++.h>
#ifndef xxx
#define dbg(...) ;
#endif
using namespace std;
template<class T> ostream &operator<<(ostream &o, const vector <T> &v) { bool f=false; for(T i:v) { f?o<<' ':o; o<<(i); f=true; } return o; }
template<class T> void sort(T &v) { std::sort(v.begin(), v.end()); }
template<class T, class C> void sort(T &v, C c) { std::sort(v.begin(), v.end(), c); }
template<class T> void reverse(T &v) { std::reverse(v.begin(), v.end()); }
template<class T> bool is_sorted(T &v) { return std::is_sorted(v.begin(), v.end()); }
template<class T> inline void _min(T &x, const T &y) { x>y?x=y:x; }
template<class T> inline void _max(T &x, const T &y) { x<y?x=y:x; }
istream &operator>>(istream &i, __int128_t &x) { x=0; short f=1; char c=0; while(!isdigit(c)) { if(c=='-')f=-1; c=i.get(); } while(isdigit(c))x=x*10+c-'0', c=i.get(); x*=f; return i; }
ostream &operator<<(ostream &o, __int128_t x) { if(x==0) { o<<0; return o; } bool f=false; string s; if(x<0)f=true, x=-x; while(x)s+=x%10+'0', x/=10; reverse(s); if(f)o<<'-'; o<<s; return o; }
mt19937 mt(time(0));
typedef double db;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
constexpr int maxn=1e4+5;
constexpr int mod=1e9+7;
constexpr int inf=0x3f3f3f3f;
constexpr ll INF=0x3f3f3f3f3f3f3f3fll;
constexpr double pi=acos(-1.0);
constexpr double eps=1e-9;
template <int m>
struct static_modint
{
using mint=static_modint;
public:
static_modint() : v(0) {}
template <class T>
static_modint(T x)
{
x=(x%(ll)(umod()));
if(x<0)x+=umod();
v=(unsigned int)(x);
}
static_modint(bool x) { v=((unsigned int)(x)%umod()); }
unsigned int val() const { return v; }
mint &operator++()
{
v++;
if(v==umod()) v=0;
return *this;
}
mint &operator--()
{
if(v==0) v=umod();
v--;
return *this;
}
mint operator++(int)
{
mint result=*this;
++*this;
return result;
}
mint operator--(int)
{
mint result=*this;
--*this;
return result;
}
mint &operator+=(const mint &rs)
{
v+=rs.v;
if(v>=umod()) v-=umod();
return *this;
}
mint &operator-=(const mint &rs)
{
if(v<rs.v) v+=umod();
v-=rs.v;
return *this;
}
mint &operator*=(const mint &rs)
{
ull z=v;
z*=rs.v;
v=(unsigned int)(z%umod());
return *this;
}
mint &operator/=(const mint &rs) { return *this=*this*rs.inv(); }
mint operator+() const { return *this; }
mint operator-() const { return mint()-*this; }
mint pow(ll n) const
{
assert(n>=0);
mint x=*this, r=1;
while(n)
{
if(n&1) r*=x;
x*=x;
n>>=1;
}
return r;
}
mint inv() const
{
//assert(v);
return pow(umod()-2);
}
istream &operator>>(istream &in)
{
in>>v;
*this=static_modint(v);
return in;
}
ostream &operator<<(ostream &o)const
{
o<<v;
return o;
}
friend mint operator+(const mint &l, const mint &r)
{
return mint(l)+=r;
}
friend mint operator-(const mint &l, const mint &r)
{
return mint(l)-=r;
}
friend mint operator*(const mint &l, const mint &r)
{
return mint(l)*=r;
}
friend mint operator/(const mint &l, const mint &r)
{
return mint(l)/=r;
}
friend bool operator==(const mint &l, const mint &r)
{
return l.v==r.v;
}
friend bool operator!=(const mint &l, const mint &r)
{
return l.v!=r.v;
}
friend bool operator<(const mint &l, const mint &r)
{
return l.v<r.v;
}
friend bool operator>(const mint &l, const mint &r)
{
return l.v>r.v;
}
friend bool operator<=(const mint &l, const mint &r)
{
return l.v<=r.v;
}
friend bool operator>=(const mint &l, const mint &r)
{
return l.v>=r.v;
}
friend ostream &operator<<(ostream &o, mint u)
{
u.operator<<(o);
return o;
}
friend istream &operator>>(istream &in, mint &u)
{
u.operator>>(in);
return in;
}
private:
unsigned int v;
static constexpr unsigned int umod() { return m; }
};
typedef static_modint<mod> mint;
int val[maxn][6];
void init(const int n=9000)
{
auto f=[](int x)->int
{
string s=to_string(x);
int ans=0;
for(char c:s)
{
ans+=c-'0';
}
return ans;
};
for(int i=1; i<=n; i++)
val[i][0]=i;
for(int i=1; i<=n; i++)
{
for(int k=1; k<=5; k++)
{
val[i][k]=f(val[i][k-1]);
}
}
}
string N;
int k, m;
int timestamp=0;
int vis[1005][9005];
mint f[1005][9005];
const int LIMIT_TAR[]={0, 9000, 35, 11, 9, 9};
mint dfs(int pos, bool limited, bool leading_zero, int sum)
{
if(pos==0)
{
return val[sum][k-1]==m;
}
if(!limited&&!leading_zero&&vis[pos][sum]==timestamp)return f[pos][sum];
mint ans=0;
int lim=limited?N[N.size()-pos]-'0':9;
for(int i=0; i<=lim; i++)
{
ans+=dfs(pos-1, limited&&i==lim, leading_zero&&!i, sum+i);
}
if(!limited&&!leading_zero)
{
vis[pos][sum]=timestamp;
return f[pos][sum]=ans;
}
return ans;
}
mint calc()
{
timestamp++;
return dfs(N.size(), true, true, 0);
}
mint getans()
{
_min(k, 4);
return calc();
}
int main()//MARK: main
{
#ifndef xxx
ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
#endif
cout<<fixed<<setprecision(10);
init();
int t;
cin>>t;
while(t--)
{
cin>>N>>k>>m;
cout<<getans()<<'\n';
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 39268kb
input:
2 114 1 5 514 2 10
output:
8 10
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 3ms
memory: 40044kb
input:
5 114 1 5 514 2 10 114514 3 7 1919810 2 13 1145141919810114514191981011451419198101145141919810114514191981011451419198101145141919810114514191981011451419198101145141919810 1 79
output:
8 10 12724 504 481046284
result:
ok 5 lines
Test #3:
score: 0
Accepted
time: 951ms
memory: 60740kb
input:
5 3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...
output:
0 613343513 0 500149787 932367667
result:
ok 5 lines
Test #4:
score: 0
Accepted
time: 969ms
memory: 60608kb
input:
5 1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...
output:
0 0 983106233 842410978 351127737
result:
ok 5 lines
Test #5:
score: 0
Accepted
time: 956ms
memory: 60528kb
input:
5 8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...
output:
0 151494485 491996396 951216080 735591005
result:
ok 5 lines
Test #6:
score: 0
Accepted
time: 965ms
memory: 60748kb
input:
5 4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...
output:
452162993 993032288 529250142 0 0
result:
ok 5 lines
Test #7:
score: 0
Accepted
time: 934ms
memory: 60472kb
input:
5 7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...
output:
0 42143665 0 0 266635325
result:
ok 5 lines
Test #8:
score: 0
Accepted
time: 946ms
memory: 60500kb
input:
5 3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...
output:
447917122 738150576 134709012 571675718 0
result:
ok 5 lines
Test #9:
score: 0
Accepted
time: 928ms
memory: 60484kb
input:
5 7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...
output:
0 264129072 541216127 357954287 0
result:
ok 5 lines
Test #10:
score: 0
Accepted
time: 948ms
memory: 60624kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
0 0 0 0 0
result:
ok 5 lines
Test #11:
score: 0
Accepted
time: 961ms
memory: 60600kb
input:
5 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...
output:
910755804 259808709 937821856 357970005 357970004
result:
ok 5 lines
Test #12:
score: 0
Accepted
time: 983ms
memory: 60648kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
0 0 0 0 0
result:
ok 5 lines
Test #13:
score: 0
Accepted
time: 955ms
memory: 60564kb
input:
5 5493600942860040477621631776833866796633825984175588516360787148451695869301784861251377693592220895430016092915864584070561727072786074401876239679966435830840108325415158767012889770532442098922126012279790947926699687673153716303479935588263453954268774120993175103389470374955885050132475090943...
output:
0 300754613 527108222 803186040 892721871
result:
ok 5 lines
Test #14:
score: 0
Accepted
time: 956ms
memory: 60612kb
input:
5 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...
output:
320215386 716889023 567624008 357970005 357970006
result:
ok 5 lines
Test #15:
score: 0
Accepted
time: 943ms
memory: 60576kb
input:
5 9812761167325920856130376846862436937947447230654673184010669691739766031552475237221268849030438467080297886603870858917934654394088222131015941324484064243169674411393827605062172844413306867153409653032875875932730337155928621241642891239404177544951325020506663647342309917196598863243062161544...
output:
0 469928597 497418961 0 391423761
result:
ok 5 lines
Test #16:
score: 0
Accepted
time: 956ms
memory: 60504kb
input:
5 9013501952727330363984611655757069529140061668352243348131242141715906906114807898855698384965618856928927417081394644166161162830825179502161401400642096135223979387761058683717466953382929504725324258978052930668420706866257850069631732579721803675116406468720025921542594305209295461027074284529...
output:
385295755 0 826010110 468568966 0
result:
ok 5 lines
Test #17:
score: 0
Accepted
time: 950ms
memory: 60608kb
input:
5 8299276307146554536050575918961724216373725603114732403143797725790612708959386530057274467495195402828666463169527607000394687018773329311746262289704318815996536046048237937697238691975566621555830914989783566285006290394230091450543627201211538144590398957372070315341068147825604925011592907516...
output:
0 510867977 0 343376120 214886107
result:
ok 5 lines
Test #18:
score: 0
Accepted
time: 950ms
memory: 60680kb
input:
5 5978386495534656451410085599244329473463314859713321863671010880820574367293215984254435511977274737538376669406905970846704986107233076928078383576465358933281714235428695844731759396130287355362520342786149980212289046796827813545285558877894772706667916112882424152831253823242761178245591040551...
output:
200381997 248732590 659988610 728803841 281731921
result:
ok 5 lines
Test #19:
score: 0
Accepted
time: 946ms
memory: 60636kb
input:
5 3653745784886652871154357862309923857817567252560725002381570519161248252147392315049190794174402649782040388482129025970204654043850249370372033244471538178164319261755776547097203201498608147530621634820597155316537832780268365695458704201328436275425247055333335893078213722495376788491166394840...
output:
0 827622189 909406252 224192882 472231991
result:
ok 5 lines
Test #20:
score: 0
Accepted
time: 957ms
memory: 60836kb
input:
5 8033033272391208112504025738196814953295344818136472894597554051040020955286362518341894063333412258812817219386808976514037940329057156352396807896773931916676875163079204283714827821854630201268421360605246824369120510639882686009186217462096143084170888173631995492474470043432451899005431488434...
output:
210535726 822079653 985955681 540372548 893241037
result:
ok 5 lines
Test #21:
score: 0
Accepted
time: 968ms
memory: 60624kb
input:
5 5567143473825105413062640204906776053975645715210961093621242820515284746059383788299405075430487954445602098969989027355660374546878999126847721403752212660945084700687121976823655410921184811436776882931203119629438066770465897899783553110960619700314302907304525788754873835497787674395031347966...
output:
0 0 358266018 0 50998365
result:
ok 5 lines