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#369493#4904. 圆滚滚的算术占卜dengtingyu60 279ms564732kbC++142.7kb2024-03-28 11:57:312024-03-28 11:57:32

Judging History

你现在查看的是最新测评结果

  • [2024-03-28 11:57:32]
  • 评测
  • 测评结果:60
  • 用时:279ms
  • 内存:564732kb
  • [2024-03-28 11:57:31]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define yu (998244353)
inline ll ksm(ll x,ll y=yu-2){
    ll an=1;for(;y;y>>=1){
        if(y&1)an=an*x%yu;
        x=x*x%yu;
    }return an;
}
inline void add(ll &x,ll y){x+=y;if(x>=yu)x-=yu;return ;}
#define N 21
#define B 11
struct node{
    ll x,y;
    node(ll a=0,ll b=0){x=a;y=b;return ;}
}g[N][N][N*B][B][N];
ll rc[N][N][N*B][B][N],gs[N][N][N*B][B][N];
node operator+(node x,node y){add(x.x,y.x);add(x.y,y.y);return x;} 
node operator*(node x,ll y){return node(x.x*y%yu,x.y*y%yu);}
inline ll gt(node x,ll y){return (y%yu*x.x+x.y)%yu;}
inline ll hs(ll x){ll g=0;while(x)g++,x/=10;return g;}
inline ll sum(ll x){ll s=0;while(x)s+=x%10,x/=10;return s;}
ll pw[N];
inline void solve(ll k,ll l,ll s,ll u,ll y){
    if(rc[k][l][s][u][y/9]!=-1)return ;
    ll &o=rc[k][l][s][u][y/9],&p=gs[k][l][s][u][y/9];node &q=g[k][l][s][u][y/9];o=0;
    if(k==3){
        ll tem=u*1000+1000-y;
        if(l<=1){
            while(tem>0){
                ll tt=sum(tem);q=(q*ksm(10,hs(tem))+node(ksm(10,k),tem));
                o+=tt;p+=hs(tem);tem-=tt;
            }return ;
        }while(tem>=0){
            ll tt=sum(tem)+s;q=(q*ksm(10,l+k)+node(ksm(10,k),tem));
            o+=tt;p+=l+k;tem-=tt;
        }return ;
    }solve(k-1,l+1,s+u,9,y);
    ll e=rc[k-1][l+1][s+u][9][y/9],t=gs[k-1][l+1][s+u][9][y/9];node c=g[k-1][l+1][s+u][9][y/9];
    o=e;p=t;q.x=c.x*10%yu;q.y=(c.y+u*10*c.x)%yu;
    if(!u)return ;
    ll ny=e+y-pw[k];
	if(u-1==0&&l==1)l--;
	solve(k,l,s,u-1,ny);
    o+=rc[k][l][s][u-1][ny/9];p+=gs[k][l][s][u-1][ny/9];q=(q*ksm(10,gs[k][l][s][u-1][ny/9])+g[k][l][s][u-1][ny/9]);
    return ;
}
ll an=0;
inline void gt(ll &x){
    ll s=0,g=0,nw=x;while(nw){
        g++;s+=nw%10;nw/=10;
    }an=an*ksm(10,g)%yu;an=(an+x)%yu;x-=s;return ;
}unordered_map<ll,ll>ji;
inline ll suan(ll x){
	if(ji.find(x)!=ji.end())return ji[x];
    an=0;while(x>0&&(x%9!=0||(x%1000)<1000-18*9))gt(x);
    ll k=3,bas=1000,n=x,y=bas-x%bas;x=(x/bas);while(n){
        solve(k,hs(x),sum(x)-x%10,x%10,y);
        n-=rc[k][hs(x)][sum(x)-x%10][x%10][y/9];
        an=(an*ksm(10,gs[k][hs(x)][sum(x)-x%10][x%10][y/9])+gt(g[k][hs(x)][sum(x)-x%10][x%10][y/9],x-x%10))%yu;
        k++;bas=bas*10;x=n/bas;y=bas-n%bas;
    }return ji[x]=an;
}
int main(){
//	freopen("test1.in","r",stdin);
	//freopen(".in","r",stdin);
	//freopen(".out","w",stdout);
	ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    ll ti;cin>>ti;memset(rc,-1,sizeof(rc));pw[0]=1;for(int i=1;i<=18;i++)pw[i]=pw[i-1]*10;
    while(ti--){
        ll l,r;cin>>l>>r;ll ans=0;for(ll i=l;i<=r;i++)add(ans,suan(i));
        cout<<ans<<'\n';
    }return 0;
}

詳細信息

Subtask #1:

score: 0
Time Limit Exceeded

Test #1:

score: 5
Accepted
time: 181ms
memory: 555152kb

input:

10
9653 62002
91160 95589
4602 60141
54240 79592
69170 95623
46733 68190
25361 84435
23506 99583
62553 65996
22099 81703

output:

103592019
222392703
236171250
287406393
478554731
117904238
522507555
617451444
277292124
553293749

result:

ok 10 numbers

Test #2:

score: -5
Time Limit Exceeded

input:

500
174 85257
53439 99201
25556 99022
59548 92909
61936 77935
35851 62882
67138 71164
42431 65794
15439 89519
5723 18456
23983 25568
22597 68086
23328 93569
9292 67330
18318 88994
84792 90364
13981 83990
21502 61839
4123 63779
498 68986
34607 65882
11483 67457
22349 94822
24528 42149
14737 16569
643...

output:


result:


Subtask #2:

score: 10
Accepted

Test #4:

score: 10
Accepted
time: 19ms
memory: 555944kb

input:

5
14151615 14151615
50959220 50959220
177962208 177962208
173507309 173507309
608527742 608527742

output:

574888399
728657674
419976531
502012045
456375259

result:

ok 5 number(s): "574888399 728657674 419976531 502012045 456375259"

Test #5:

score: 0
Accepted
time: 16ms
memory: 555792kb

input:

5
441384319 441384319
606726578 606726578
100872719 100872719
290542038 290542038
290435521 290435521

output:

304014472
49910017
871510667
927387471
830052470

result:

ok 5 number(s): "304014472 49910017 871510667 927387471 830052470"

Test #6:

score: 0
Accepted
time: 15ms
memory: 555756kb

input:

5
686934834 686934834
217972715 217972715
91760217 91760217
478910665 478910665
871116356 871116356

output:

95543981
675033334
382398698
617891543
7219851

result:

ok 5 number(s): "95543981 675033334 382398698 617891543 7219851"

Test #7:

score: 0
Accepted
time: 19ms
memory: 555696kb

input:

5
632445684 632445684
734428390 734428390
713862928 713862928
749060122 749060122
542269196 542269196

output:

651099756
192673041
504124590
272521896
299385724

result:

ok 5 number(s): "651099756 192673041 504124590 272521896 299385724"

Test #8:

score: 0
Accepted
time: 20ms
memory: 555716kb

input:

5
292694554 292694554
122280051 122280051
174892392 174892392
9910543 9910543
784522094 784522094

output:

419465926
714229591
283421374
481713044
109145296

result:

ok 5 number(s): "419465926 714229591 283421374 481713044 109145296"

Test #9:

score: 0
Accepted
time: 31ms
memory: 555736kb

input:

5
615497298 615497298
564113448 564113448
753391603 753391603
551814992 551814992
174017428 174017428

output:

22576684
137456470
513923958
668473835
317575304

result:

ok 5 number(s): "22576684 137456470 513923958 668473835 317575304"

Test #10:

score: 0
Accepted
time: 44ms
memory: 555980kb

input:

5
1000000000 1000000000
999999999 999999999
999999998 999999998
999999997 999999997
999999996 999999996

output:

222450657
694100606
163329444
630802635
100031473

result:

ok 5 number(s): "222450657 694100606 163329444 630802635 100031473"

Subtask #3:

score: 20
Accepted

Dependency #2:

100%
Accepted

Test #11:

score: 20
Accepted
time: 31ms
memory: 557264kb

input:

500
698257830800 698257830800
617173242289 617173242289
568533976816 568533976816
304124481699 304124481699
382703992871 382703992871
369767377948 369767377948
486827431792 486827431792
816809127260 816809127260
140820315808 140820315808
520319250284 520319250284
846471367899 846471367899
6644006698...

output:

222330930
123963642
587561052
308401894
682034676
921899282
635390969
240575157
625354160
786668808
221490848
108019577
890900322
968212472
748737678
399442868
722933325
949500244
544379125
537942485
770467247
611295351
124083002
187265170
716761105
332601799
604625136
426579833
173698309
380930698
...

result:

ok 500 numbers

Test #12:

score: 0
Accepted
time: 23ms
memory: 557468kb

input:

500
421409955150 421409955150
288525860973 288525860973
654212997028 654212997028
643994843193 643994843193
234986303016 234986303016
883443909286 883443909286
191709557117 191709557117
853488646551 853488646551
830288496202 830288496202
912705252384 912705252384
385442976112 385442976112
9404880703...

output:

213055714
157010848
237776173
970746980
979282626
886191091
915071656
204965025
396181281
552769762
88640338
284657564
927286525
675552858
992967824
352706406
566507446
920489107
338095947
561665777
861701687
201836223
281362047
485972857
762735669
689735145
329154384
98340611
518700765
238302555
75...

result:

ok 500 numbers

Test #13:

score: 0
Accepted
time: 27ms
memory: 557268kb

input:

500
898187490904 898187490904
523028464608 523028464608
551979765943 551979765943
446016706274 446016706274
882533125415 882533125415
973648759862 973648759862
243336600342 243336600342
540842065913 540842065913
754331041749 754331041749
205670838484 205670838484
904025050365 904025050365
1915561766...

output:

343687254
731317462
273353940
56914574
420502214
931444452
27403305
268858558
73111834
765813040
988209771
377981743
693681456
995761977
507100649
127678626
570683366
942992120
396722742
719060747
768923853
975693001
589720135
198036309
996310965
811266887
709380198
516505552
451083136
745217370
553...

result:

ok 500 numbers

Subtask #4:

score: 30
Accepted

Dependency #3:

100%
Accepted

Test #14:

score: 30
Accepted
time: 270ms
memory: 564732kb

input:

50000
243477608435765905 243477608435765905
618229616631065936 618229616631065936
340655097845225107 340655097845225107
164063479621476366 164063479621476366
211153058113364687 211153058113364687
534183445145939234 534183445145939234
968971748161242908 968971748161242908
971741312228667011 971741312...

output:

120004358
629474440
155342766
244130769
246410395
687860060
93807056
619446109
432788371
87496004
677988327
813378356
745700608
218030110
300354433
786382437
757604339
423161582
607094440
561223491
306602758
72559127
513724638
277976752
891665800
273777901
900791247
554544036
414227457
463705979
225...

result:

ok 50000 numbers

Test #15:

score: 0
Accepted
time: 273ms
memory: 564708kb

input:

50000
226216064999007957 226216064999007957
725876901556754918 725876901556754918
6991128333733965 6991128333733965
118226612740827945 118226612740827945
499568128994719893 499568128994719893
263555151284895991 263555151284895991
83574173851557923 83574173851557923
458819833592503898 458819833592503...

output:

706469547
351472849
828132588
408536547
129726088
990990261
237978314
969172645
355533983
881248280
278317959
83431317
132188345
769916092
466918747
170195273
897712540
363946942
589231085
623079062
771924871
780768814
445367030
841114380
618903049
704203360
633756584
512799874
51997270
206295934
66...

result:

ok 50000 numbers

Test #16:

score: 0
Accepted
time: 279ms
memory: 564664kb

input:

50000
214366518885303579 214366518885303579
701499096305610395 701499096305610395
158143163539796259 158143163539796259
744212773625008552 744212773625008552
114473183293762466 114473183293762466
958067267253912227 958067267253912227
897888722603840615 897888722603840615
331740504045801469 331740504...

output:

324286333
658948700
755495023
899388585
66603017
505069427
946221163
981059736
241787325
440845177
820409144
579209528
179849224
623939134
682188932
39277483
251059921
507626107
412330406
413820293
934035838
34621595
330624408
895172862
694999904
961324349
80495288
875778694
783146679
890651966
5377...

result:

ok 50000 numbers

Subtask #5:

score: 0
Skipped

Dependency #1:

0%

Subtask #6:

score: 0
Skipped

Dependency #5:

0%