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#322651#7954. Special NumbersNYCU_CartesianTree#AC ✓222ms145788kbC++208.1kb2024-02-07 13:59:082024-02-07 13:59:08

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你现在查看的是最新测评结果

  • [2024-02-07 13:59:08]
  • 评测
  • 测评结果:AC
  • 用时:222ms
  • 内存:145788kb
  • [2024-02-07 13:59:08]
  • 提交

answer

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

#define int long long 
#define F first 
#define S second 
#define pb push_back
#define ld double

int dp[61][41][21][21][21][2][2], tot[61][41][21][21][21][2][2]; // 2, 3, 5, 7, 0, small, hav
int p2=0, p3=0, p5=0, p7=0;
int g2=0, g3=0, g5=0, g7=0;
int gg;
const int mol=1e9+7;
void add(int &t1, int t2){
    t1+=t2;
    t1%=mol;
}

void add1(int j, int t1, int t2, int t3, int t4, int t5){
    int op=0;
    for(int i=0;i<2;i++) for(int j=0;j<2;j++) op+=dp[t1][t2][t3][t4][t5][i][j];

    if(j==0) add(tot[t1][t2][t3][t4][t5+1][1][1], dp[t1][t2][t3][t4][t5][0][1] + dp[t1][t2][t3][t4][t5][1][1])
    , add(tot[t1][t2][t3][t4][t5][1][0], dp[t1][t2][t3][t4][t5][1][0] + dp[t1][t2][t3][t4][t5][0][0]);
    if(j==1) add(tot[t1][t2][t3][t4][t5][1][1], op);
    if(j==2) add(tot[min(t1+1,p2)][t2][t3][t4][t5][1][1],op);
    if(j==3) add(tot[t1][min(t2+1, p3)][t3][t4][t5][1][1],op);
    if(j==4) add(tot[min(t1+2, p2)][t2][t3][t4][t5][1][1],op);
    if(j==5) add(tot[t1][t2][min(t3+1, p5)][t4][t5][1][1],op);
    if(j==6) add(tot[min(t1+1, p2)][min(t2+1, p3)][t3][t4][t5][1][1],op);
    if(j==7) add(tot[t1][t2][t3][min(t4+1, p7)][t5][1][1],op);
    if(j==8) add(tot[min(t1+3, p2)][t2][t3][t4][t5][1][1],op);
    if(j==9) add(tot[t1][min(t2+2, p3)][t3][t4][t5][1][1],op);
}
void add2(int j, int t1, int t2, int t3, int t4, int t5){
    int op1=0, op2=0;
    for(int i=0;i<2;i++) op1+=dp[t1][t2][t3][t4][t5][0][i], op2+=dp[t1][t2][t3][t4][t5][1][i];

    // if(t1==0&&t2==0&&t3==0&&t4==0&&t5==0) cerr<<dp[t1][t2][t3][t4][t5][1][1]<<"kk\n";
    
    if(j==0) add(tot[t1][t2][t3][t4][t5+1][1][1], dp[t1][t2][t3][t4][t5][1][1]), add(tot[t1][t2][t3][t4][t5][1][0], dp[t1][t2][t3][t4][t5][1][0]); 
    if(j==1) add(tot[t1][t2][t3][t4][t5][1][1], op2);
    if(j==2) add(tot[min(t1+1, p2)][t2][t3][t4][t5][1][1], op2);
    if(j==3) add(tot[t1][min(t2+1, p3)][t3][t4][t5][1][1], op2);
    if(j==4) add(tot[min(t1+2, p2)][t2][t3][t4][t5][1][1], op2);
    if(j==5) add(tot[t1][t2][min(t3+1, p5)][t4][t5][1][1], op2);
    if(j==6) add(tot[min(t1+1, p2)][min(t2+1, p3)][t3][t4][t5][1][1], op2);
    if(j==7) add(tot[t1][t2][t3][min(t4+1, p7)][t5][1][1], op2);
    if(j==8) add(tot[min(t1+3, p2)][t2][t3][t4][t5][1][1], op2);
    if(j==9) add(tot[t1][min(t2+2, p3)][t3][t4][t5][1][1], op2);

    if(j==0) add(tot[t1][t2][t3][t4][t5+1][0][1], dp[t1][t2][t3][t4][t5][0][1]), add(tot[t1][t2][t3][t4][t5][0][0], dp[t1][t2][t3][t4][t5][0][0]); 
    if(j==1) add(tot[t1][t2][t3][t4][t5][0][1], op1);
    if(j==2) add(tot[min(t1+1, p2)][t2][t3][t4][t5][0][1], op1);
    if(j==3) add(tot[t1][min(t2+1, p3)][t3][t4][t5][0][1], op1);
    if(j==4) add(tot[min(t1+2, p2)][t2][t3][t4][t5][0][1], op1);
    if(j==5) add(tot[t1][t2][min(t3+1, p5)][t4][t5][0][1], op1);
    if(j==6) add(tot[min(t1+1, p2)][min(t2+1, p3)][t3][t4][t5][0][1], op1);
    if(j==7) add(tot[t1][t2][t3][min(t4+1, p7)][t5][0][1], op1);
    if(j==8) add(tot[min(t1+3, p2)][t2][t3][t4][t5][0][1], op1);
    if(j==9) add(tot[t1][min(t2+2, p3)][t3][t4][t5][0][1], op1);
}
void add3(int j, int t1, int t2, int t3, int t4, int t5){
    int op2=0;
    for(int i=0;i<2;i++) op2+=dp[t1][t2][t3][t4][t5][1][i];
    // if(t1+t2+t3+t4+t5==0&&j==5)
    // cerr<<op2<<"op\n"<<min(t3+1, p5)<<"\n"<<t3<<" "<<p3<<"\n";
    
    if(j==0) add(tot[t1][t2][t3][t4][t5+1][1][1], dp[t1][t2][t3][t4][t5][1][1]), add(tot[t1][t2][t3][t4][t5][1][0], dp[t1][t2][t3][t4][t5][1][0]); 
    if(j==1) add(tot[t1][t2][t3][t4][t5][1][1], op2);
    if(j==2) add(tot[min(t1+1, p2)][t2][t3][t4][t5][1][1], op2);
    if(j==3) add(tot[t1][min(t2+1, p3)][t3][t4][t5][1][1], op2);
    if(j==4) add(tot[min(t1+2, p2)][t2][t3][t4][t5][1][1], op2);
    if(j==5) add(tot[t1][t2][min(t3+1, p5)][t4][t5][1][1], op2);
    if(j==6) add(tot[min(t1+1, p2)][min(t2+1, p3)][t3][t4][t5][1][1], op2);
    if(j==7) add(tot[t1][t2][t3][min(t4+1, p7)][t5][1][1], op2);
    if(j==8) add(tot[min(t1+3, p2)][t2][t3][t4][t5][1][1], op2);
    if(j==9) add(tot[t1][min(t2+2, p3)][t3][t4][t5][1][1], op2);
}


int k;string l, r;

int ff(int g, int h){
    if(h==0) return 1;
    if(h==1) return g;
    if(h%2) return g*ff(g,h-1)%k;
    else {
        int t=ff(g, h/2);
        return t*t%k;
    }
}

int calc(__int128 x,int k){
    string now;
    if(x==0) return 0; 
    while(x) now+=(char)('0'+x%10), x/=10;

    for(int i2=0;i2<=p2;i2++){
        for(int i3=0;i3<=p3;i3++){
            for(int i5=0;i5<=p5;i5++){
                for(int i7=0;i7<=p7;i7++){
                    for(int i0=0;i0<=20;i0++){
                        for(int u1=0;u1<2;u1++){
                            for(int u2=0;u2<2;u2++)
                                dp[i2][i3][i5][i7][i0][u1][u2]=0;
                        }
                    }
                }
            }
        }
    }

    dp[0][0][0][0][0][0][0]=1;
    for(int i=now.size()-1;i>=0;i--){
        for(int i2=0;i2<=p2;i2++){
            for(int i3=0;i3<=p3;i3++){
                for(int i5=0;i5<=p5;i5++){
                    for(int i7=0;i7<=p7;i7++){
                        for(int i0=0;i0<=20;i0++){
                            for(int j=0;j<=9;j++){
                                if(j<now[i]-'0'){
                                    add1(j, i2, i3, i5, i7, i0);
                                }
                                else if(j==now[i]-'0'){
                                    add2(j, i2, i3, i5, i7, i0);
                                }
                                else{
                                    add3(j, i2, i3, i5, i7, i0);
                                }
                            }
                        }
                    }
                }
            }
        }

        for(int i2=0;i2<=p2;i2++){
            for(int i3=0;i3<=p3;i3++){
                for(int i5=0;i5<=p5;i5++){
                    for(int i7=0;i7<=p7;i7++){
                        for(int i0=0;i0<=20;i0++){
                            for(int u1=0;u1<2;u1++){
                                for(int u2=0;u2<2;u2++)
                                    dp[i2][i3][i5][i7][i0][u1][u2]=tot[i2][i3][i5][i7][i0][u1][u2], tot[i2][i3][i5][i7][i0][u1][u2]=0;
                            }
                        }
                    }
                }
            }
        }
    }
        // cerr<<dp[0][0][0][0][0][1][0]<<"ff\n";

    int now1=0;
    for(int i2=0;i2<=p2;i2++){
        for(int i3=0;i3<=p3;i3++){
            for(int i5=0;i5<=p5;i5++){
                for(int i7=0;i7<=p7;i7++){
                    for(int i0=0;i0<=now.size();i0++){
                        for(int u1=0;u1<2;u1++){
                            if(i0) add(now1, dp[i2][i3][i5][i7][i0][u1][1]);
                            else if(i2>=g2&&i3>=g3&&i5>=g5&&i7>=g7&&gg==1) add(now1, dp[i2][i3][i5][i7][i0][u1][1]);
                            else break;
                            // cerr<<dp[i2][i3][i5][i7][i0][u1][1]<<" "<<i2<<" "<<i3<<" "<<i5<<" "<<i7<<" "<<i0<<"\n";
                        }
                    }
                }
            }
        }
    }
    // now1--;
    // cerr<<now1<<" "<<now<<"\n";
    return now1;
}

void solve(){
    cin>>k>>l>>r;
    __int128 t1=0, t2=0;
    for(auto g:l) t1*=10, t1+=g-'0';
    for(auto g:r) t2*=10, t2+=g-'0';
    
    int u1=t2, u2=t1;
    // cout<<u1<<" "<<u2<<"\n";
    while(u1%2==0) u1/=2, p2++;
    while(u1%3==0) u1/=3, p3++;
    while(u1%5==0) u1/=5, p5++;
    while(u1%7==0) u1/=7, p7++;
    gg=k;
    while(gg%2==0) gg/=2, g2++;
    while(gg%3==0) gg/=3, g3++;
    while(gg%5==0) gg/=5, g5++;
    while(gg%7==0) gg/=7, g7++;
    p2=g2, p3=g3, p5=g5, p7=g7;
    // cerr<<gg<<"\n";
    // cerr<<p2<<" "<<p3<<" "<<p5<<" "<<p7<<"\n";
    int ans=calc(t2, k);
    // p2=0, p3=0, p5=0, p7=0;
    // while(u2%2==0) u2/=2, p2++;
    // while(u2%3==0) u2/=3, p3++;
    // while(u2%5==0) u2/=5, p5++;
    // while(u2%7==0) u2/=7, p7++;
    ans+=mol-calc(t1-1, k);
    ans+=mol;
    ans%=mol;

    cout<<ans;
}

signed main(){
    ios::sync_with_stdio(0);cin.tie(0);
    // int t;
    // cin>>t;
    // while(t--)
    solve();
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 5756kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 1ms
memory: 5600kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 5584kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 5668kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 1ms
memory: 7996kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 3ms
memory: 108268kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 5ms
memory: 18480kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 2ms
memory: 18064kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 129ms
memory: 34612kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 222ms
memory: 44248kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 64ms
memory: 37924kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 97ms
memory: 27992kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 90ms
memory: 33216kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 62ms
memory: 145788kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 1ms
memory: 5696kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 44ms
memory: 13476kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 112ms
memory: 105388kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 44ms
memory: 54128kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 43ms
memory: 52800kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 30ms
memory: 18508kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 18ms
memory: 50416kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 4ms
memory: 61576kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 8ms
memory: 10036kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 34ms
memory: 57592kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 25ms
memory: 61800kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 0ms
memory: 7720kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 8ms
memory: 5904kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 63ms
memory: 68576kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 170ms
memory: 81500kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 104ms
memory: 74200kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 14ms
memory: 10436kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 141ms
memory: 66880kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 38ms
memory: 68592kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 85ms
memory: 88124kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 85ms
memory: 18280kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 97ms
memory: 63084kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 1ms
memory: 5704kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 84ms
memory: 90872kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 1ms
memory: 5812kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 0ms
memory: 7800kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 5692kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 1ms
memory: 5952kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 0ms
memory: 11884kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 1ms
memory: 5700kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 2ms
memory: 9772kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 0ms
memory: 10020kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 9744kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 11ms
memory: 48104kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 1ms
memory: 10040kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 1ms
memory: 5896kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 11792kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 5652kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'