QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#350669 | #7954. Special Numbers | warner1129 | AC ✓ | 417ms | 14696kb | C++20 | 3.6kb | 2024-03-10 23:25:58 | 2024-03-10 23:26:00 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
template<ranges::range T, class = enable_if_t<!is_convertible_v<T, string_view>>>
istream& operator>>(istream &s, T &&v) { for (auto &&x : v) s >> x; return s; }
template<ranges::range T, class = enable_if_t<!is_convertible_v<T, string_view>>>
ostream& operator<<(ostream &s, T &&v) { for (auto &&x : v) s << x << ' '; return s; }
#ifdef LOCAL
template<class... T> void dbg(T... x) { char e{}; ((cerr << e << x, e = ' '), ...); }
#define debug(x...) dbg(#x, '=', x, '\n')
#else
#define debug(...) ((void)0)
#endif
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define ff first
#define ss second
template<class T> inline constexpr T inf = numeric_limits<T>::max() / 2;
template<class T> bool chmin(T &a, T b) { return (b < a and (a = b, true)); }
template<class T> bool chmax(T &a, T b) { return (a < b and (a = b, true)); }
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;
constexpr i64 mod = 1e9 + 7;
void solve() {
i64 k;
string L, R;
cin >> k >> L >> R;
using state = array<i64, 4>;
// v[0] == -1 : 0
// v[0] == -2 : empty
auto upd = [&](state v, int x) -> state {
if (v[0] == -1) return v;
if (v[0] == -2) v[0] = 0;
if (x == 0) return state{-1, 0, 0, 0};
for (int i = 0; int p : {2, 3, 5, 7}) {
int c = 0;
while (x % p == 0) {
c++;
x /= p;
}
v[i] += c;
i++;
}
return v;
};
auto DP = [&upd](string_view S, bool e) -> map<state, i64> {
array<map<state, i64>, 2> dp{};
dp[1][state{-2, 0, 0, 0}] = 1;
for (char c : S) {
int d = c - '0';
decltype(dp) f{};
for (const auto &[t, v] : dp[0]) {
for (int i = (t[0] == -2 ? 1 : 0); i <= 9; i++) {
(f[0][upd(t, i)] += v) %= mod;
}
}
for (const auto &[t, v] : dp[1]) {
for (int i = (t[0] == -2 ? 1 : 0); i <= d; i++) {
(f[i == d][upd(t, i)] += v) %= mod;
}
}
f[0][state{-2, 0, 0, 0}] = 1;
f.swap(dp);
}
if (e) {
for (const auto &[s, v] : dp[1]) {
(dp[0][s] += v) %= mod;
}
}
return dp[0];
};
auto dpR = DP(R, 1);
auto dpL = DP(L, 0);
for (auto &[s, v] : dpL) {
(dpR[s] += mod - v) %= mod;
}
auto cur = [&]() {
state cur{0, 0, 0, 0};
for (int i = 0; int p : {2, 3, 5, 7}) {
int c = 0;
while (k % p == 0) {
c++;
k /= p;
}
cur[i] += c;
i++;
}
return cur;
}();
// debug(k, cur);
i64 ans = 0;
for (auto &[s, v] : dpR) {
// debug(s, v);
if (k == 1 and s[0] != -1) {
bool ok = true;
for (int i = 0; i < 4; i++)
ok &= (s[i] >= cur[i]);
if (ok) ans += v;
}
if (s == state{-1, 0, 0, 0}) {
ans += v;
}
ans %= mod;
}
cout << ans << '\n';
}
signed main() {
cin.tie(0)->sync_with_stdio(false);
int T = 1;
// cin >> T;
while (T--)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3640kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 213ms
memory: 12184kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 328ms
memory: 13872kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 298ms
memory: 12308kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 368ms
memory: 14400kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 355ms
memory: 14400kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 338ms
memory: 13620kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 356ms
memory: 14068kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 316ms
memory: 12564kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 355ms
memory: 14172kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 335ms
memory: 13308kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 388ms
memory: 14652kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 356ms
memory: 14008kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 335ms
memory: 13928kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 390ms
memory: 14608kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 377ms
memory: 14644kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 301ms
memory: 13244kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 351ms
memory: 13300kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 385ms
memory: 14604kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 365ms
memory: 14224kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 311ms
memory: 12420kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 333ms
memory: 13836kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 375ms
memory: 14136kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 352ms
memory: 14160kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 388ms
memory: 14432kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 353ms
memory: 13428kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 387ms
memory: 14632kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 325ms
memory: 13460kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 380ms
memory: 14544kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 328ms
memory: 13160kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 383ms
memory: 14540kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 363ms
memory: 14016kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 391ms
memory: 14600kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 340ms
memory: 13440kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 366ms
memory: 14440kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 358ms
memory: 13808kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 396ms
memory: 14552kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 352ms
memory: 13720kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 417ms
memory: 14696kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 382ms
memory: 14596kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 218ms
memory: 12164kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 1ms
memory: 3604kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'