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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#647589 | #7954. Special Numbers | ucup-team5234# | AC ✓ | 6ms | 3944kb | C++23 | 6.4kb | 2024-10-17 14:49:15 | 2024-10-17 14:49:17 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define all(v) (v).begin(),(v).end()
#define pb(a) push_back(a)
#define rep(i, n) for(int i=0;i<n;i++)
#define foa(e, v) for(auto& e : v)
using ll = long long;
const ll MOD7 = 1000000007, MOD998 = 998244353, INF = (1LL << 60);
#define dout(a) cout<<fixed<<setprecision(10)<<a<<endl;
template<int MOD> struct Modint {
long long val;
constexpr Modint(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += MOD; }
constexpr int mod() const { return MOD; }
constexpr long long value() const { return val; }
constexpr Modint operator - () const noexcept { return val ? MOD - val : 0; }
constexpr Modint operator + (const Modint& r) const noexcept { return Modint(*this) += r; }
constexpr Modint operator - (const Modint& r) const noexcept { return Modint(*this) -= r; }
constexpr Modint operator * (const Modint& r) const noexcept { return Modint(*this) *= r; }
constexpr Modint operator / (const Modint& r) const noexcept { return Modint(*this) /= r; }
constexpr Modint& operator += (const Modint& r) noexcept {
val += r.val;
if (val >= MOD) val -= MOD;
return *this;
}
constexpr Modint& operator -= (const Modint& r) noexcept {
val -= r.val;
if (val < 0) val += MOD;
return *this;
}
constexpr Modint& operator *= (const Modint& r) noexcept {
val = val * r.val % MOD;
return *this;
}
constexpr Modint& operator /= (const Modint& r) noexcept {
long long a = r.val, b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
val = val * u % MOD;
if (val < 0) val += MOD;
return *this;
}
constexpr bool operator == (const Modint& r) const noexcept { return this->val == r.val; }
constexpr bool operator != (const Modint& r) const noexcept { return this->val != r.val; }
friend constexpr istream& operator >> (istream& is, Modint<MOD>& x) noexcept {
is >> x.val;
x.val %= MOD;
if (x.val < 0) x.val += MOD;
return is;
}
friend constexpr ostream& operator << (ostream& os, const Modint<MOD>& x) noexcept {
return os << x.val;
}
constexpr Modint<MOD> pow(long long n) noexcept {
if (n == 0) return 1;
if (n < 0) return this->pow(-n).inv();
Modint<MOD> ret = pow(n >> 1);
ret *= ret;
if (n & 1) ret *= *this;
return ret;
}
constexpr Modint<MOD> inv() const noexcept {
long long a = this->val, b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
return Modint<MOD>(u);
}
};
const int MOD = MOD7;
using mint = Modint<MOD>;
mint solve(string s, ll k) {
vector<vector<ll>> cc(10, vector(10, 0LL));
for(ll i = 0; i < 10; i ++) {
if(i == 0) {
rep(j, 10) cc[i][j] = 1000;
} else {
ll num = i;
for(ll j = 2; j < 10; j ++) {
while(num % j == 0) {
num /= j;
cc[i][j] ++;
}
}
}
}
vector<ll> c(10, 0);
for(ll i = 2; i < 10; i ++) {
while(k % i == 0) {
k /= i;
c[i] ++;
}
}
if(k > 1) {
mint ans = 0;
int n = s.size();
for(int i = 0; i < n; i ++) {
int num = s[i] - '0';
for(int j = 1; j < num; j ++) {
ans += mint(10).pow(n - i - 1) - mint(9).pow(n - i - 1);
}
if(num == 0) {
ans += mint(1);
for(int j = i + 1; j < n; j ++) {
ans += mint(10).pow(n - j - 1) * mint(s[j] - '0');
}
break;
}
if(i) {
ans += mint(10).pow(n - i - 1);
}
}
for(int d = 2; d < n; d ++) {
ans += mint(9) * (mint(10).pow(d - 1) - mint(9).pow(d - 1));
}
return ans;
}
vector dp(c[2] + 1, vector(c[3] + 1, vector(c[5] + 1, vector(c[7] + 1, mint(0)))));
mint ans = 0;
ll n = s.size();
vector<ll> now(10, 0);
rep(i, n) {
vector nx(c[2] + 1, vector(c[3] + 1, vector(c[5] + 1, vector(c[7] + 1, mint(0)))));
rep(c2, c[2] + 1) {
rep(c3, c[3] + 1) {
rep(c5, c[5] + 1) {
rep(c7, c[7] + 1) {
for(int j = 0; j < 10; j ++) {
nx[min(c[2], c2 + cc[j][2])][min(c[3], c3 + cc[j][3])][min(c[5], c5 + cc[j][5])][min(c[7], c7 + cc[j][7])]
+= dp[c2][c3][c5][c7];
}
}
}
}
}
int num = s[i] - '0';
vector<ll> nnx(10, 0);
for(int j = 0; j < num; j ++) {
if(i == 0 and j == 0) continue;
nx[min(c[2], now[2] + cc[j][2])][min(c[3], now[3] + cc[j][3])][min(c[5], now[5] + cc[j][5])][min(c[7], now[7] + cc[j][7])] += mint(1);
}
if(i) {
for(ll j = 1; j < 10; j ++) {
nx[min(c[2], cc[j][2])][min(c[3], cc[j][3])][min(c[5], cc[j][5])][min(c[7], cc[j][7])] += mint(1);
}
}
{
for(ll x = 2; x < 10; x ++) {
nnx[x] = now[x] + cc[num][x];
}
}
swap(nnx, now);
swap(nx, dp);
}
bool ng = 0;
for(ll i = 2; i < 10; i ++) {
if(now[i] < c[i]) ng = 1;
}
if(!ng) ans += mint(1);
ans += dp[c[2]][c[3]][c[5]][c[7]];
return ans;
}
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
ll k;
cin >> k;
string l, r;
cin >> l >> r;
if(l == "1") {
cout << solve(r, k) << endl;
} else {
reverse(all(l));
int n = l.size();
rep(i, n) {
if(l[i] > '0') {
int num = l[i] - '0';
l[i] = char('0' + (num - 1));
break;
} else {
l[i] = '9';
}
}
if(l.back() == '0') l.pop_back();
reverse(all(l));
cout << solve(r, k) - solve(l, k) << endl;
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3688kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3656kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 3ms
memory: 3876kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 3ms
memory: 3752kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3664kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 3ms
memory: 3636kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 3ms
memory: 3724kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 3ms
memory: 3732kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 4ms
memory: 3792kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3916kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 2ms
memory: 3652kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3832kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 1ms
memory: 3596kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 2ms
memory: 3928kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 6ms
memory: 3736kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 4ms
memory: 3832kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 4ms
memory: 3944kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 2ms
memory: 3912kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 3ms
memory: 3716kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 3ms
memory: 3668kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 3ms
memory: 3668kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 1ms
memory: 3628kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'