QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#673851 | #7954. Special Numbers | AMATSUKAZE# | AC ✓ | 43ms | 38848kb | C++20 | 4.4kb | 2024-10-25 11:02:28 | 2024-10-25 11:02:28 |
Judging History
answer
#include <bits/stdc++.h>
#define rep(i,s,n) for (int i = (int)(s); i < (int)(n); i++)
#define all(v) begin(v),end(v)
using namespace std;
using ll = long long;
bool chmin(auto &a, auto b) { return a > b ? a = b, 1 : 0; }
bool chmax(auto &a, auto b) { return a < b ? a = b, 1 : 0; }
using bll = __int128_t;
bll input(){
string s; cin >> s;
bll x = 0;
for (auto c : s){
x = x * 10 + (c - '0');
}
return x;
}
string tostr(bll x){
string s = "";
while (x > 0){
s += '0' + (x % 10);
x /= 10;
}
reverse(all(s));
return s;
}
template<int mod>
struct mm {
using uint = unsigned int;
uint x;
mm (uint _x = 0) : x(_x) {}
mm &operator+=(mm a){
x += a.x;
if (x >= mod) x -= mod;
return *this;
}
mm &operator-=(mm a){
x += mod - a.x;
if (x >= mod) x -= mod;
return *this;
}
friend mm operator+(mm a, mm b){
return a += b;
}
friend mm operator-(mm a, mm b){
return a -= b;
}
};
using mint = mm<1'000'000'007>;
using ar = array<int,4>;
pair<ar,ll> div2357(ll k){
ar ret = {};
ar ds = {2,3,5,7};
rep(i,0,4){
while (k % ds[i] == 0){
ret[i]++;
k /= ds[i];
}
}
return {ret,k};
}
mint naive(ll k, string s){
ll r = stoll(s);
mint ans = 0;
for (ll x = 1; x <= r; x++){
string t = to_string(x);
ll prd = 1;
for (auto c : t){
prd *= (c - '0');
}
if (prd % k == 0){
ans += 1;
}
}
return ans;
}
mint calc(ll k, string s){
if (s.empty()){
return 0;
}
auto [ds, nk] = div2357(k);
// odd, small, l0, c2, c3, c5, c7
static mint dp[2][2][2][62][41][21][21] = {};
memset(dp,0,sizeof(dp));
dp[0][0][0][0][0][0][0] = 1;
auto nxt = [&](int i, int j, int a, int b, int c, int d, int sp, int p) -> array<int,6> {
if (i == 0 && sp < p) return {-1};
int ni = (i == 1 ? 1 : sp > p ? 1 : 0);
if (j == 0 && p == 0){
return {ni,0,0,0,0,0};
}
int nj = 1;
if (a == ds[0]+1){
return {ni,nj,ds[0]+1,0,0,0};
}
if (p == 0){
a = ds[0]+1;
b = 0;
c = 0;
d = 0;
return {ni,nj,a,b,c,d};
}
if (p == 1){
// nothing
}
else if (p == 2){
a += 1;
}
else if (p == 3){
b += 1;
}
else if (p == 4){
a += 2;
}
else if (p == 5){
c += 1;
}
else if (p == 6){
a += 1;
b += 1;
}
else if (p == 7){
d += 1;
}
else if (p == 8){
a += 3;
}
else if (p == 9){
b += 2;
}
chmin(a,ds[0]);
chmin(b,ds[1]);
chmin(c,ds[2]);
chmin(d,ds[3]);
return {ni,nj,a,b,c,d};
};
// dp[t] contains ans
int t = 0, f = 1;
for (auto cc : s){
int sp = cc - '0';
swap(f,t);
// dp[f] -> dp[t]
rep(i,0,2) rep(j,0,2) rep(a,0,ds[0]+2) rep(b,0,ds[1]+1) rep(c,0,ds[2]+1) rep(d,0,ds[3]+1){
dp[t][i][j][a][b][c][d] = 0;
}
rep(i,0,2) rep(j,0,2) rep(a,0,ds[0]+2) rep(b,0,ds[1]+1) rep(c,0,ds[2]+1) rep(d,0,ds[3]+1){
rep(p,0,10){
auto [ni,nj,na,nb,nc,nd] = nxt(i,j,a,b,c,d,sp,p);
if (ni == -1) continue;
dp[t][ni][nj][na][nb][nc][nd] += dp[f][i][j][a][b][c][d];
}
}
}
mint ans = dp[t][0][1][ds[0]+1][0][0][0] + dp[t][1][1][ds[0]+1][0][0][0];
if (nk == 1){
ans += dp[t][0][1][ds[0]][ds[1]][ds[2]][ds[3]];
ans += dp[t][1][1][ds[0]][ds[1]][ds[2]][ds[3]];
}
// cout << k << ' ' << s << endl;
// cout << ans.x << endl;
return ans;
}
void solve(){
ll k; cin >> k;
bll l = input();
bll r = input();
l--;
string sl = tostr(l);
string sr = tostr(r);
mint ans = calc(k,sr) - calc(k,sl);
cout << ans.x << '\n';
// mint nans = naive(k,sr) - calc(k,sl);
// cout << nans.x << '\n';
}
int main(){
cin.tie(0)->sync_with_stdio(0);
solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 38660kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 8ms
memory: 38636kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 6ms
memory: 38624kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 10ms
memory: 38568kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 7ms
memory: 38848kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 8ms
memory: 38624kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 7ms
memory: 38556kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 11ms
memory: 38624kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 8ms
memory: 38632kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 27ms
memory: 38836kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 43ms
memory: 38600kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 15ms
memory: 38760kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 27ms
memory: 38612kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 27ms
memory: 38832kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 15ms
memory: 38552kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 8ms
memory: 38512kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 15ms
memory: 38540kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 27ms
memory: 38556kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 17ms
memory: 38604kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 11ms
memory: 38640kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 15ms
memory: 38560kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 12ms
memory: 38580kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 11ms
memory: 38560kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 11ms
memory: 38628kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 16ms
memory: 38640kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 7ms
memory: 38836kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 4ms
memory: 38660kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 14ms
memory: 38764kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 14ms
memory: 38764kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 33ms
memory: 38556kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 20ms
memory: 38664kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 9ms
memory: 38660kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 26ms
memory: 38768kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 17ms
memory: 38844kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 21ms
memory: 38624kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 23ms
memory: 38604kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 31ms
memory: 38812kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 13ms
memory: 38804kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 25ms
memory: 38640kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 4ms
memory: 38608kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 7ms
memory: 38664kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 13ms
memory: 38624kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 14ms
memory: 38660kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 8ms
memory: 38552kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 12ms
memory: 38624kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 11ms
memory: 38632kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 8ms
memory: 38836kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 3ms
memory: 38844kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 7ms
memory: 38568kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 8ms
memory: 38836kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 15ms
memory: 38664kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 7ms
memory: 38560kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 8ms
memory: 38656kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 4ms
memory: 38576kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'