QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#291979#7996. 报数 IVchroneZ#AC ✓590ms47612kbC++172.7kb2023-12-27 15:08:342023-12-27 15:08:34

Judging History

你现在查看的是最新测评结果

  • [2023-12-27 15:08:34]
  • 评测
  • 测评结果:AC
  • 用时:590ms
  • 内存:47612kb
  • [2023-12-27 15:08:34]
  • 提交

answer

#pragma GCC optimize("Ofast", "inline", "-ffast-math")
#pragma GCC target("avx,sse2,sse3,sse4,mmx")

#include <bits/stdc++.h>
using namespace std;
using i64 = long long;

constexpr int mod = 1e9 + 7, N = 1000 + 10, M = 9000 + 10;
namespace basic {
  inline int add(int x, int y) {return (x + y >= mod ? x + y - mod : x + y);}
  inline int dec(int x, int y) {return (x - y < 0 ? x - y + mod : x - y);}
  inline void ad(int &x, int y) {x = add(x, y);}
  inline void de(int &x, int y) {x = dec(x, y);}

  inline int qpow(int a, int b) {
    int r = 1;
    while(b) {
      if(b & 1) r = 1ll * r * a % mod;
      a = 1ll * a * a % mod; b >>= 1;
    }
    return r;
  }
  inline int inv(int x) {return qpow(x, mod - 2);}

  int fac[N], ifac[N];
  inline void fac_init(int n = N - 1) {
    fac[0] = 1;
    for(int i = 1; i <= n; i++)
      fac[i] = 1ll * fac[i - 1] * i % mod;
    ifac[n] = inv(fac[n]);
    for(int i = n - 1; i >= 0; i--)
      ifac[i] = 1ll * ifac[i + 1] * (i + 1) % mod;
  }
  int invx[N];
  inline void inv_init(int n = N - 1) {
    invx[1] = 1;
    for(int i = 2; i <= n; i++)
      invx[i] = 1ll * (mod - mod / i) * invx[mod % i] % mod;
  }
  inline int binom(int n, int m) {
    if(n < m || m < 0) return 0;
    return 1ll * fac[n] * ifac[m] % mod * ifac[n - m] % mod;
  }
}
using namespace basic;

int a[N], f[N][M]; bool vis[N][M];

inline int dfs(int dep, bool diff, int s) {
  if(dep == -1) {
    return (s == 0);
  }
  if(s > (dep + 1) * 9) {
    return 0;
  }
  if(diff == 0) {
    int ret = 0;
    for(int i = 0; i <= a[dep] && i <= s; i++) {
      ad(ret, dfs(dep - 1, i != a[dep], s - i));
    }
    return ret;
  }
  int &ans = f[dep][s];
  if(vis[dep][s]) {
    return ans;
  }
  vis[dep][s] = 1, ans = 0;
  for(int i = 0; i < 10 && i <= s; i++) {
    ad(ans, dfs(dep - 1, 1, s - i));
  }
  return ans;
}
inline int calc(int x) {
  int r = 0;
  while(x) {
    r += x % 10;
    x /= 10;
  }
  return r;
}
inline int g(int x, int k) {
  while(x >= 10 && k) {
    x = calc(x);
    k--;
  }
  return x;
}
void Main() {
  string n; cin >> n;
  for(int i = n.size() - 1, j = 0; i >= 0; i--, j++) {
    a[j] = n[i] - '0';
  }
  for(int i = 0; i < n.size(); i++) {
    for(int j = 0; j <= (i + 1) * 9; j++) {
      vis[i][j] = 0;
    }
  }
  int k, m; cin >> k >> m; k--;
  int ans = 0;
  for(int s = 1; s <= n.size() * 9; s++) {
    if(g(s, k) == m) {
      int r = dfs(n.size() - 1, 0, s);
      ad(ans, r);
    }
  }
  cout << ans << "\n";
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr), cout.tie(nullptr);
  
  int T; cin >> T;
  while(T--) {
    Main();
  }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5604kb

input:

2
114 1 5
514 2 10

output:

8
10

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 0ms
memory: 14224kb

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: 327ms
memory: 46996kb

input:

5
3134666912140933323880320519044791121794814671711104987304374190280064994554822259889216567113228716903875026053927191961850586115167336109747673868148288830282192461669674173201533887392623483710043038941036243583011049049915834937139438028987629569618561762595613799223807979488245056374812076511...

output:

0
613343513
0
500149787
932367667

result:

ok 5 lines

Test #4:

score: 0
Accepted
time: 425ms
memory: 47156kb

input:

5
1139519997005658838804233882542131329603951012645222504700958241682545257324091070752720569220022637054777343187779232016568942045167801853025395316038491270541841827939668031807503056209394655628349207403327386083909984082879989255237547274110143051980886947606735206241362546384481120301780245959...

output:

0
0
983106233
842410978
351127737

result:

ok 5 lines

Test #5:

score: 0
Accepted
time: 518ms
memory: 47336kb

input:

5
8638076091316635855641492966551052879887835736093039980247820372626975300011595185556660107638347885877620156412525017113706895612406460047827904025826640853053762221239009476530804397983925491363476392003741370633988524528072186299564325622601218035310613510134479162974878452692502169127286160440...

output:

0
151494485
491996396
951216080
735591005

result:

ok 5 lines

Test #6:

score: 0
Accepted
time: 272ms
memory: 47276kb

input:

5
4594403190887655851098979323885347301970260472182981436563110607463337770897498592230279433635011809482497666151819612860549852933087582131069399973150048275594755688227873941703801791577493672811179138154635173296855021815570777969295164438906410283251071005981539590431740858876880832337309525533...

output:

452162993
993032288
529250142
0
0

result:

ok 5 lines

Test #7:

score: 0
Accepted
time: 240ms
memory: 46932kb

input:

5
7106329661074460076851813089444392472728206874451143771638786962963099120130351553150316525985245033972323999641553983578568333846746709032264525531367915930983812069660457027974526824268427908058438462283103774963889147187903776098321357665707620452891363086885353145154955480116362167820560099473...

output:

0
42143665
0
0
266635325

result:

ok 5 lines

Test #8:

score: 0
Accepted
time: 378ms
memory: 47204kb

input:

5
3197096843267069616758413776891049764649182364659681310636123435063129351340319661216252795154685419993835505771367978692486745621757064307866143997529010856187698866761085397967488612326286182291301655780420802213700700872824442868225191222911023750488609973480926167606063152176688092948837104972...

output:

447917122
738150576
134709012
571675718
0

result:

ok 5 lines

Test #9:

score: 0
Accepted
time: 390ms
memory: 47276kb

input:

5
7612942550467855237767978070830743429305395120370014044416141696259440200835613011108477499855450341979327882148431400498007877975643997499046007388707405687392636406520850657394581417406913024784851871291661719356877660941151602720564069428677800545614776632869404791295787921432277016643912651129...

output:

0
264129072
541216127
357954287
0

result:

ok 5 lines

Test #10:

score: 0
Accepted
time: 0ms
memory: 14116kb

input:

5
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

0
0
0
0
0

result:

ok 5 lines

Test #11:

score: 0
Accepted
time: 518ms
memory: 47372kb

input:

5
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999...

output:

910755804
259808709
937821856
357970005
357970004

result:

ok 5 lines

Test #12:

score: 0
Accepted
time: 3ms
memory: 12628kb

input:

5
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

0
0
0
0
0

result:

ok 5 lines

Test #13:

score: 0
Accepted
time: 424ms
memory: 47100kb

input:

5
5493600942860040477621631776833866796633825984175588516360787148451695869301784861251377693592220895430016092915864584070561727072786074401876239679966435830840108325415158767012889770532442098922126012279790947926699687673153716303479935588263453954268774120993175103389470374955885050132475090943...

output:

0
300754613
527108222
803186040
892721871

result:

ok 5 lines

Test #14:

score: 0
Accepted
time: 524ms
memory: 47612kb

input:

5
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

output:

320215386
716889023
567624008
357970005
357970006

result:

ok 5 lines

Test #15:

score: 0
Accepted
time: 289ms
memory: 47212kb

input:

5
9812761167325920856130376846862436937947447230654673184010669691739766031552475237221268849030438467080297886603870858917934654394088222131015941324484064243169674411393827605062172844413306867153409653032875875932730337155928621241642891239404177544951325020506663647342309917196598863243062161544...

output:

0
469928597
497418961
0
391423761

result:

ok 5 lines

Test #16:

score: 0
Accepted
time: 309ms
memory: 47492kb

input:

5
9013501952727330363984611655757069529140061668352243348131242141715906906114807898855698384965618856928927417081394644166161162830825179502161401400642096135223979387761058683717466953382929504725324258978052930668420706866257850069631732579721803675116406468720025921542594305209295461027074284529...

output:

385295755
0
826010110
468568966
0

result:

ok 5 lines

Test #17:

score: 0
Accepted
time: 368ms
memory: 46812kb

input:

5
8299276307146554536050575918961724216373725603114732403143797725790612708959386530057274467495195402828666463169527607000394687018773329311746262289704318815996536046048237937697238691975566621555830914989783566285006290394230091450543627201211538144590398957372070315341068147825604925011592907516...

output:

0
510867977
0
343376120
214886107

result:

ok 5 lines

Test #18:

score: 0
Accepted
time: 590ms
memory: 46912kb

input:

5
5978386495534656451410085599244329473463314859713321863671010880820574367293215984254435511977274737538376669406905970846704986107233076928078383576465358933281714235428695844731759396130287355362520342786149980212289046796827813545285558877894772706667916112882424152831253823242761178245591040551...

output:

200381997
248732590
659988610
728803841
281731921

result:

ok 5 lines

Test #19:

score: 0
Accepted
time: 519ms
memory: 47536kb

input:

5
3653745784886652871154357862309923857817567252560725002381570519161248252147392315049190794174402649782040388482129025970204654043850249370372033244471538178164319261755776547097203201498608147530621634820597155316537832780268365695458704201328436275425247055333335893078213722495376788491166394840...

output:

0
827622189
909406252
224192882
472231991

result:

ok 5 lines

Test #20:

score: 0
Accepted
time: 527ms
memory: 47012kb

input:

5
8033033272391208112504025738196814953295344818136472894597554051040020955286362518341894063333412258812817219386808976514037940329057156352396807896773931916676875163079204283714827821854630201268421360605246824369120510639882686009186217462096143084170888173631995492474470043432451899005431488434...

output:

210535726
822079653
985955681
540372548
893241037

result:

ok 5 lines

Test #21:

score: 0
Accepted
time: 279ms
memory: 46836kb

input:

5
5567143473825105413062640204906776053975645715210961093621242820515284746059383788299405075430487954445602098969989027355660374546878999126847721403752212660945084700687121976823655410921184811436776882931203119629438066770465897899783553110960619700314302907304525788754873835497787674395031347966...

output:

0
0
358266018
0
50998365

result:

ok 5 lines