QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#611156 | #7954. Special Numbers | rgnerdplayer# | WA | 85ms | 4440kb | C++20 | 3.7kb | 2024-10-04 19:40:13 | 2024-10-04 19:40:14 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
using ll = long long;
#define SZ(v) (ll)((v).size())
#define pb emplace_back
#define AI(i) begin(i),end(i)
#define X first
#define Y second
constexpr int P = 1e9 + 7;
void inc(int &a, int b) {
a += b;
if (a >= P) {
a -= P;
}
}
mt19937 rng(58);
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
auto solve = [&]() {
i64 k;
cin >> k;
auto read = [&]() {
string s;
cin >> s;
reverse(s.begin(), s.end());
vector<int> a(s.size());
for (int i = 0; i < s.size(); i++) {
a[i] = s[i] - '0';
}
return a;
};
auto L = read();
auto R = read();
L[0]--;
for (int i = 0; i < L.size(); i++) {
if (L[i] < 0) {
assert(i + 1 != L.size());
L[i] += 10;
L[i + 1]--;
} else {
break;
}
}
while (L.size() > 1 && L.back() == 0) {
L.pop_back();
}
vector<int> primes, pows;
for (int p : {2, 3, 5, 7}) {
if (k % p != 0) {
continue;
}
primes.push_back(p);
pows.push_back(0);
while (k % p == 0) {
k /= p;
pows.back()++;
}
}
if (k != 1) {
cout << "0\n";
return;
}
vector decomp(10, vector<int>(primes.size()));
for (int i = 1; i < 10; i++) {
int x = i;
for (int j = 0; j < primes.size(); j++) {
while (x % primes[j] == 0) {
decomp[i][j]++;
x /= primes[j];
}
decomp[i][j] = min(decomp[i][j], pows[j]);
}
}
auto add = [&](vector<int> a, vector<int> b) {
vector<int> c(primes.size());
for (int i = 0; i < primes.size(); i++) {
c[i] = min(pows[i], a[i] + b[i]);
}
return c;
};
vector<int> pow10(30);
pow10[0] = 1;
for (int i = 1; i < 30; i++) {
pow10[i] = pow10[i - 1] * 10LL % P;
}
auto work = [&](vector<int> R) {
vector dp(2, map<vector<int>, int>()), ndp = dp;
vector<int> pref(R);
for (int i = 1; i < R.size(); i++) {
pref[i] = (1LL * pow10[i] * pref[i] + pref[i - 1]) % P;
}
int ans = 0;
for (int dig = R.size() - 1; dig >= 0; dig--) {
ndp.assign(2, {});
for (int x : {0, 1}) {
for (auto [a, c] : dp[x]) {
{
bool y = x && R[dig] == 0;
int add = !y ? pow10[dig] : (dig > 0 ? pref[dig - 1] : 0) + 1;
add = 1LL * add * c % P;
inc(ans, add);
}
for (int i = 1; i <= (x ? R[dig] : 9); i++) {
inc(ndp[x && i == R[dig]][add(a, decomp[i])], c);
}
}
}
for (int i = 1; i <= (dig + 1 == R.size() ? R[dig] : 9); i++) {
inc(ndp[dig + 1 == R.size() && i == R[dig]][decomp[i]], 1);
}
swap(dp, ndp);
}
for (int x : {0, 1}) {
inc(ans, dp[x][pows]);
}
return ans;
};
int cr = work(R), cl = work(L);
int ans = (cr + P - cl) % P;
cout << ans << '\n';
};
solve();
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3844kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3564kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3512kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 3ms
memory: 3524kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 48ms
memory: 4084kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 85ms
memory: 4440kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 28ms
memory: 3812kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 39ms
memory: 4040kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 42ms
memory: 4164kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 24ms
memory: 3852kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 17ms
memory: 3824kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 52ms
memory: 4088kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 21ms
memory: 3808kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 20ms
memory: 3728kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 12ms
memory: 3932kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 10ms
memory: 3700kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 3ms
memory: 3576kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 3ms
memory: 3828kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 14ms
memory: 3904kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 14ms
memory: 3720kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 3ms
memory: 3524kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 26ms
memory: 3840kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 66ms
memory: 4280kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 26ms
memory: 4168kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 6ms
memory: 3688kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 61ms
memory: 4376kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 19ms
memory: 3716kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 40ms
memory: 4120kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 34ms
memory: 4220kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 41ms
memory: 4044kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 44ms
memory: 3916kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: -100
Wrong Answer
time: 0ms
memory: 3612kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
0
result:
wrong answer 1st lines differ - expected: '922087167', found: '0'