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 |
---|---|---|---|---|---|---|---|---|---|
#298446 | #7954. Special Numbers | SolitaryDream# | AC ✓ | 75ms | 986340kb | C++17 | 1.6kb | 2024-01-06 10:09:41 | 2024-01-06 10:09:43 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
using sit = string::iterator;
const int pri[] = {2, 3, 5, 7};
const int p = 1e9 + 7;
int f[24][70][45][32][26][2];
inline vector<int> Dec(vector<int> cnt, int val, int pz) {
if (!pz && val == 0) return {0, 0, 0, 0, 0};
if (val == 0) return cnt;
for (int i = 0; i < 4; ++i) {
while (cnt[i] && val % pri[i] == 0) val /= pri[i], --cnt[i];
}
return cnt;
}
inline int Dp(sit cur, sit ed, vector<int> cnt, int pz, int lim) {
if (cur == ed) {
return cnt == vector<int>({0, 0, 0, 0, 0});
}
int &fv = f[ed - cur][cnt[0]][cnt[1]][cnt[2]][cnt[3]][cnt[4]];
if (!pz && !lim && fv != -1) return fv;
int ans = 0;
int vr = lim ? *cur - '0' : 9;
for (int i = 0; i <= vr; ++i) {
ans += Dp(next(cur), ed, Dec(cnt, i, pz), pz && i == 0, lim && i == vr);
}
ans %= p;
if (!pz && !lim) fv = ans;
return ans;
}
signed main() {
memset(f, -1, sizeof f);
int k;
string L, R;
cin >> k >> L >> R;
vector<int> cnt(5);
{
int tk = k;
for (int i = 0; i < 4; ++i) {
while (tk % pri[i] == 0) tk /= pri[i], ++cnt[i];
}
if (tk > 1) ++cnt[4];
}
int ans = Dp(R.begin(), R.end(), cnt, 1, 1);
// cout << ans << endl;
ans -= Dp(L.begin(), L.end(), cnt, 1, 1);
{
int tk = k;
for (auto c : L) tk = tk / __gcd(tk, (int)(c - '0'));
if (tk == 1) ++ans;
}
ans = (ans % p + p) % p;
cout << ans << endl;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 63ms
memory: 986256kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 52ms
memory: 986260kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 28ms
memory: 986296kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 44ms
memory: 986220kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 28ms
memory: 986296kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 48ms
memory: 986228kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 52ms
memory: 986272kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 48ms
memory: 986268kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 40ms
memory: 986228kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 40ms
memory: 986336kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 75ms
memory: 986296kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 43ms
memory: 986216kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 55ms
memory: 986272kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 48ms
memory: 986228kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 31ms
memory: 986224kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 32ms
memory: 986272kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 52ms
memory: 986340kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 43ms
memory: 986336kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 47ms
memory: 986272kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 40ms
memory: 986276kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 32ms
memory: 986228kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 28ms
memory: 986236kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 15ms
memory: 986304kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 39ms
memory: 986300kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 36ms
memory: 986268kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 43ms
memory: 986228kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 51ms
memory: 986272kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 60ms
memory: 986220kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 47ms
memory: 986336kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 43ms
memory: 986224kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 75ms
memory: 986236kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 47ms
memory: 986236kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 51ms
memory: 986300kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 43ms
memory: 986260kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 56ms
memory: 986224kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 48ms
memory: 986228kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 47ms
memory: 986300kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 48ms
memory: 986332kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 63ms
memory: 986228kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 52ms
memory: 986220kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 15ms
memory: 986296kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 24ms
memory: 986300kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 39ms
memory: 986224kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 24ms
memory: 986268kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 35ms
memory: 986300kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 47ms
memory: 986228kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 11ms
memory: 986236kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 31ms
memory: 986284kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 35ms
memory: 986328kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 47ms
memory: 986228kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 32ms
memory: 986212kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 55ms
memory: 986328kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 40ms
memory: 986220kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 39ms
memory: 986300kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'