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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#672287 | #7954. Special Numbers | ucup-team3519# | AC ✓ | 54ms | 5784kb | C++17 | 2.6kb | 2024-10-24 16:18:06 | 2024-10-24 16:18:08 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef __int128_t LLL;
#define V vector
#define pb push_back
typedef unsigned long long ULL;
typedef long long LL;
#define lb lower_bound
#define all0(x) (x).begin(), (x).end()
#define all1(x) (x).begin() + 1, (x).end()
const int mod = 1e9 + 7;
LL MOD(LL x) {
if(x >= mod) x -= mod;
if(x < 0) x += mod;
return x;
}
LL upd(LL k, LL now) {
if(now == 0) return 1;
if(now == 4) {
if(k % 4 == 0) return k / 4;
if(k % 2 == 0) return k / 2;
return k;
}
if(now == 9) {
if(k % 9 == 0) return k / 9;
if(k % 3 == 0) return k / 3;
return k;
}
if(now == 8) {
if(k % 8 == 0) return k / 8;
if(k % 4 == 0) return k / 4;
if(k % 2 == 0) return k / 2;
return k;
}
if(now == 6) {
if(k % 6 == 0) return k / 6;
if(k % 2 == 0) return k / 2;
if(k % 3 == 0) return k / 3;
return k;
}
if(k % now == 0) return k / now;
return k;
}
map<pair<int, LL>, LL> mp;
LL dfs(int now, LL res) {
if(now == 0) {
if(res == 1) return 1;
return 0;
}
if(mp.count({now, res})) return mp[{now, res}];
LL ans = 0;
for(int i = 0; i <= 9; i++) {
LL n_res = upd(res, i);
ans = MOD(ans + dfs(now - 1, n_res));
}
return mp[{now, res}] = ans;
}
LL cal(string s, LL k) {
reverse(all0(s));
LL ans = 0;
for(int i = s.size() - 1; i >= 1; i--) {
for(int j = 1; j <= 9; j++) {
LL res = upd(k, j);
ans = MOD(ans + dfs(i - 1, res));
}
}
// cout << "ans : " << ans << endl;
for(int i = s.size() - 1; i >= 0; i--) {
for(int j = (i == s.size() - 1 ? 1 : 0); j < s[i] - '0'; j++) {
ans = MOD(ans + dfs(i, upd(k, j)));
}
k = upd(k, s[i] - '0');
}
// if(k == 1) {
// cout << "good" << endl;
// }
ans += k == 1;
return ans;
}
bool is_ok(string s, LL k) {
for(auto c : s) {
k = upd(k, c - '0');
}
return k == 1;
}
int main() {
ios::sync_with_stdio(0), cin.tie(0);
LL k; cin >> k;
string l, r; cin >> l >> r;
LL ans = MOD(cal(r, k) - cal(l, k) + is_ok(l, k));
cout << ans << endl;
// cout << (100000000000000) % mod << endl;
// for(int i = 1; i <= 20; i++) {
// cout << "i : " << i << " " << cal(to_string(i), 8) << endl;
// }
// for(int i = 0; i <= 9; i++) cout << "upd, i : " << i << " " << upd(5, i) << endl;
}
//5,
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3776kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3900kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3704kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 34ms
memory: 4972kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 54ms
memory: 5784kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 18ms
memory: 4600kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 24ms
memory: 4640kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 30ms
memory: 4848kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 15ms
memory: 4248kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 11ms
memory: 4080kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 33ms
memory: 5104kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 13ms
memory: 4120kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 13ms
memory: 4184kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 3ms
memory: 3996kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 7ms
memory: 3836kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3600kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3632kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 10ms
memory: 3988kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 9ms
memory: 4164kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3704kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 18ms
memory: 4596kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 46ms
memory: 5736kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 16ms
memory: 4364kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 4ms
memory: 3924kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 48ms
memory: 5448kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 13ms
memory: 4188kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 26ms
memory: 4648kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 16ms
memory: 4560kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 30ms
memory: 5120kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 30ms
memory: 4860kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 1ms
memory: 3528kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3816kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 3ms
memory: 3952kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3480kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'