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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
#301324#7954. Special Numberstarjen#AC ✓124ms664228kbC++203.3kb2024-01-09 17:51:032024-01-09 17:51:03

Judging History

你现在查看的是最新测评结果

  • [2024-01-09 17:51:03]
  • 评测
  • 测评结果:AC
  • 用时:124ms
  • 内存:664228kb
  • [2024-01-09 17:51:03]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int mod=1e9+7;
istream& operator >> (istream& in, __int128& num) {
    string s;in>>s;
    num=0;
    for(auto it:s)num=num*10+it-'0';
    return in;
}

ostream& operator << (ostream& out, __int128 num) {
    string s;
    do{
        s.push_back(char(num%10+'0'));
        num/=10;
    }while(num>0);
    reverse(s.begin(),s.end());
    out<<s;
    return out;
}
typedef __int128 ll;
void add(int &x,int y){
    if((x+=y)>=mod)x-=mod;
}
void del(int &x,int y){
    if((x-=y)<0)x+=mod;
}
int dp[2][22][80][50][31][31];
int p[25];
void f1(int &a,int &b,int &c,int &d,int x){
    // a=2 b=3 c=5 d=7
    if(x==2)a--;
    if(x==3)b--;
    if(x==4)a-=2;
    if(x==5)c--;
    if(x==6)a--,b--;
    if(x==7)d--;
    if(x==8)a-=3;
    if(x==9)b-=2;
}
void f2(int &a,int &b,int &c,int &d,int x){
    // a=2 b=3 c=5 d=7
    if(x==2)a++;
    if(x==3)b++;
    if(x==4)a+=2;
    if(x==5)c++;
    if(x==6)a++,b++;
    if(x==7)d++;
    if(x==8)a+=3;
    if(x==9)b+=2;
}
int dfs(int flag,int i,int a,int b,int c,int d){
    // if(a<0||b<0||c<0||d<0)return 0;
    if(a<0)a=0;
    if(b<0)b=0;
    if(c<0)c=0;
    if(d<0)d=0;
    if(i==0){
        return (a+b+c+d)!=0;
    }
    if(dp[flag][i][a][b][c][d]!=-1)return dp[flag][i][a][b][c][d];
    int g=9;
    if(flag)g=p[i];
    int res=0;
    for(int x=1;x<=g;x++){
        f1(a,b,c,d,x);
        add(res,dfs(flag&(x==g),i-1,a,b,c,d));
        f2(a,b,c,d,x);
    }
    // cout<<"flag="<<flag<<" i="<<i<<" a="<<a<<" b="<<b<<" c="<<c<<" d="<<d<<" res="<<res<<"\n";
    return dp[flag][i][a][b][c][d]=res;
}
int solve(ll n,int a,int b,int c,int d)
{
    if(n==0)return 0;
    // cout<<"n="<<n<<"\n";
    memset(dp,-1,sizeof(dp));
    int t=0;
    while(n>0){
        t++;
        p[t]=n%10;
        n/=10;
    }
    // cout<<"t="<<t<<"\n";
    int res=0;
    for(int i=t-1;i>=1;i--)add(res,dfs(0,i,a,b,c,d));
    add(res,dfs(1,t,a,b,c,d));
    return res;
}
int dp2[2][2][2][25];
int p2[25];
int dfs2(int flag,int ok,int fir,int i){
    if(i==0){
        if(ok&&!fir)return 1;
        return 0;
    }
    // cout<<"flag="<<flag<<" ok="<<ok<<" fir="<<fir<<" i="<<i<<"\n";
    if(dp2[flag][ok][fir][i]!=-1)return dp2[flag][ok][fir][i];
    int g=9;
    if(flag)g=p[i];
    int res=0;
    for(int x=fir;x<=g;x++){
        add(res,dfs2(flag&(x==g),ok|(x==0),0,i-1));
    }
    return dp2[flag][ok][fir][i]=res;
}
int solve2(ll n){
    if(n==0)return 0;
    // cout<<"n="<<n<<"\n";
    memset(dp2,-1,sizeof(dp2));
    int t=0;
    while(n>0){
        t++;
        p[t]=n%10;
        n/=10;
    }
    // cout<<"t="<<t<<endl;
    int res=0;
    for(int i=t-1;i>=1;i--)add(res,dfs2(0,0,1,i));
    add(res,dfs2(1,0,1,t));
    return res;
}
int main()
{   
    long long k;
    ll L,R;
    cin>>k>>L>>R;
    vector<int> cnt;
    for(auto x:{2,3,5,7}){
        int g=0;
        while(k%x==0)k/=x,g++;
        cnt.push_back(g);
    }
    if(k!=1){
        int ans=solve2(R);
        del(ans,solve2(L-1));
        cout<<ans<<"\n";
        return 0;
    }
    int ans=(R-L+1)%mod;
    del(ans,solve(R,cnt[0],cnt[1],cnt[2],cnt[3]));
    add(ans,solve(L-1,cnt[0],cnt[1],cnt[2],cnt[3]));
    cout<<ans<<"\n";
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 31ms
memory: 664184kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 84ms
memory: 664104kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 80ms
memory: 664112kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 79ms
memory: 664124kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 24ms
memory: 664220kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 76ms
memory: 664160kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 19ms
memory: 664160kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 83ms
memory: 664168kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 76ms
memory: 664164kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 80ms
memory: 664108kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 124ms
memory: 664104kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 92ms
memory: 664224kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 95ms
memory: 664228kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 83ms
memory: 664168kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 68ms
memory: 664148kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 16ms
memory: 664112kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 79ms
memory: 664184kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 88ms
memory: 664168kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 91ms
memory: 664160kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 71ms
memory: 664100kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 87ms
memory: 664168kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 76ms
memory: 664164kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 71ms
memory: 664164kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 88ms
memory: 664160kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 92ms
memory: 664148kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 87ms
memory: 664160kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 39ms
memory: 664180kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 83ms
memory: 664108kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 83ms
memory: 664116kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 104ms
memory: 664104kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 67ms
memory: 664116kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 75ms
memory: 664144kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 67ms
memory: 664120kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 100ms
memory: 664184kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 80ms
memory: 664108kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 80ms
memory: 664220kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 95ms
memory: 664156kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 88ms
memory: 664160kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 88ms
memory: 664108kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3420kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3480kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3460kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3416kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3496kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 1ms
memory: 3468kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3464kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 1ms
memory: 3492kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 84ms
memory: 664104kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 76ms
memory: 664164kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 91ms
memory: 664220kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 75ms
memory: 664108kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 79ms
memory: 664192kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 91ms
memory: 664108kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'