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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 |
---|---|---|---|---|---|---|---|---|---|
#797201 | #7954. Special Numbers | feeder1# | AC ✓ | 7ms | 5404kb | C++20 | 3.6kb | 2024-12-02 19:05:11 | 2024-12-02 19:05:11 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using tii = tuple<int, int, int>;
using tll = tuple<ll, ll, ll>;
using ld = long double;
using vi = vector<int>;
using vl = vector<ll>;
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define nl "\n"
#define all(v) v.begin(),v.end()
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define sz(x) (int)(x).size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
constexpr int maxn = 1e6 + 5;
constexpr ll mod = 1e9 + 7;
constexpr int C = 21;
ll n, m, q, k, t, a, b, c;
ll pw[C];
unordered_map<ull, ull> cnt2[C];
ull cnt[C];
ull compute2(ull val, int idx) {
auto& m = cnt2[idx];
auto it = m.find(val);
if (it != m.end()) {
return it->second;
}
ull ans = 0;
ans += pw[idx];
for (ull i = 1; i <= 9; i++) {
ull g = __gcd(val, i);
ull rem = val / g;
if (idx > 0)
ans += compute2(rem, idx - 1);
else {
if (rem == 1) ans++;
}
}
ans %= mod;
cnt2[idx][val] = ans;
return ans;
}
ull compute(ull val, int idx) {
ull ans = 0;
for (ull i = 1; i <= 9; i++) {
ull g = __gcd(val, i);
if (idx > 0) {
ans += compute2(val / g, idx - 1);
ans %= mod;
}
else {
if (val / g == 1) ans++;
}
}
if (idx > 0) ans += cnt[idx - 1];
else ans++;
return ans % mod;
}
void precomp() {
pw[0] = 1;
for (int i = 1; i < C; i++) {
pw[i] = pw[i - 1] * 10 % mod;
}
for (int i = 0; i < C; i++) {
cnt[i] = compute(k, i);
}
}
ull string_to_val(const string& s, int idx) {
ull ans = 0;
for (int i = idx; i >= 0; i--) {
auto it = s[i];
ans *= 10;
ans += it - '0';
ans %= mod;
}
ans = (ans + 1) % mod;
return ans;
}
ull solve(const string& s, int idx, ull k) {
if (s[idx] == '0') {
return string_to_val(s, idx);
}
ull lim = s[idx] - '0';
ull ans = 0;
if (idx > 0) {
if (idx == s.size() - 1) {
ans = cnt[idx - 1];
} else {
ans = pw[idx];
}
}
else ans = 1;
for (ull i = 1; i < lim; i++) {
ull g = __gcd(k, i);
ull rem = k / g;
if (idx > 0) {
ans += compute2(rem, idx - 1);
} else {
if (rem == 1) ans++;
}
ans %= mod;
}
{
ull g = __gcd(lim, k);
ull rem = k / g;
if (idx > 0) {
ans += solve(s, idx - 1, rem);
} else {
if (rem == 1) ans++;
}
}
return ans % mod;
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
string l, r;
cin >> k;
cin >> l >> r;
precomp();
// for (int i = 0; i < 5; i++) {
// cout << cnt[i] << nl;
// }
// for (int i = 0; i < 5; i++) {
// cout << compute2(k, i) << nl;
// }
__uint128_t L = 0;
for (auto it : l) {
L *= 10;
L += it - '0';
}
L--;
l = "";
while (L != 0) {
char c = L % 10 + '0';
l += c;
L /= 10;
}
if (l == "") l = "0";
reverse(all(r));
// cout << l << " " << r << nl;
ull a = solve(r, r.size() - 1, k);
ull b = solve(l, l.size() - 1, k);
// cout << a << " " << b << nl;
ull ans = (mod + a - b) % mod;
cout << ans;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3724kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3672kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3708kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 5ms
memory: 4812kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 4ms
memory: 5404kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 3ms
memory: 4252kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 2ms
memory: 4492kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 4ms
memory: 4608kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 3ms
memory: 4412kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 2ms
memory: 4284kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 0ms
memory: 4960kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 2ms
memory: 4184kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 2ms
memory: 4116kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3964kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3916kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3748kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 1ms
memory: 3956kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 2ms
memory: 4244kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 2ms
memory: 3988kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 3ms
memory: 4292kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 7ms
memory: 5288kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 3ms
memory: 4348kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 6ms
memory: 5152kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 2ms
memory: 4248kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 4ms
memory: 4488kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 0ms
memory: 4336kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 4ms
memory: 4592kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 4ms
memory: 4584kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 1ms
memory: 3712kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 1ms
memory: 3620kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 1ms
memory: 3608kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 1ms
memory: 3820kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3708kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'