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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#759959 | #7954. Special Numbers | SanguineChameleon# | AC ✓ | 423ms | 919532kb | C++20 | 4.5kb | 2024-11-18 13:38:26 | 2024-11-18 13:38:27 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
void justDoIt();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
justDoIt();
return 0;
}
const int MOD = 1e9 + 7;
const int K = 21;
const int MAX_C2 = K * 3;
const int MAX_C3 = K * 2;
const int MAX_C5 = K * 1;
const int MAX_C7 = K * 1;
const vector<int> PRIMES = {2, 3, 5, 7};
int a[K];
int cnt[10][4];
int need[4];
int dp[K + 1][2][2][2][MAX_C2 + 1][MAX_C3 + 1][MAX_C5 + 1][MAX_C7 + 1];
long long m;
// f1 - has the number started?
// f2 - is the number already smaller?
// f3 - does the number have a 0?
void add(int& var, int delta) {
var += delta;
if (var >= MOD) {
var -= MOD;
}
}
int calc(__int128 r) {
for (int i = K - 1; i >= 0; i--) {
a[i] = r % 10;
r /= 10;
}
memset(dp, 0, sizeof(dp));
dp[0][0][0][0][0][0][0][0] = 1;
for (int i = 0; i < K; i++) {
for (int f1 = 0; f1 < 2; f1++) {
for (int f2 = 0; f2 < 2; f2++) {
for (int f3 = 0; f3 < 2; f3++) {
for (int c2 = 0; c2 <= MAX_C2; c2++) {
for (int c3 = 0; c3 <= MAX_C3; c3++) {
for (int c5 = 0; c5 <= MAX_C5; c5++) {
for (int c7 = 0; c7 <= MAX_C7; c7++) {
if (dp[i][f1][f2][f3][c2][c3][c5][c7] == 0) {
continue;
}
for (int d = 0; d < 10; d++) {
if (f2 == 0 && d > a[i]) {
continue;
}
int ni = i + 1;
int nf1 = f1 | (d != 0);
int nf2 = f2 | (d < a[i]);
int nf3 = f3 | (f1 && (d == 0));
int nc2 = c2 + cnt[d][0];
int nc3 = c3 + cnt[d][1];
int nc5 = c5 + cnt[d][2];
int nc7 = c7 + cnt[d][3];
add(dp[ni][nf1][nf2][nf3][nc2][nc3][nc5][nc7], dp[i][f1][f2][f3][c2][c3][c5][c7]);
}
}
}
}
}
}
}
}
}
int res = 0;
for (int f1 = 1; f1 < 2; f1++) {
for (int f2 = 0; f2 < 2; f2++) {
for (int f3 = 0; f3 < 2; f3++) {
for (int c2 = 0; c2 <= MAX_C2; c2++) {
for (int c3 = 0; c3 <= MAX_C3; c3++) {
for (int c5 = 0; c5 <= MAX_C5; c5++) {
for (int c7 = 0; c7 <= MAX_C7; c7++) {
int cur = dp[K][f1][f2][f3][c2][c3][c5][c7];
if (cur == 0) {
continue;
}
if (f3 == 1) {
add(res, cur);
}
else if (m == 1) {
if (c2 >= need[0] && c3 >= need[1] && c5 >= need[2] && c7 >= need[3]) {
add(res, cur);
}
}
}
}
}
}
}
}
}
return res;
}
__int128 toInt(string s) {
__int128 res = 0;
for (auto x: s) {
res = res * 10 + (x - '0');
}
return res;
}
void justDoIt() {
for (int d = 1; d < 10; d++) {
for (int i = 0; i < 4; i++) {
int p = PRIMES[i];
int x = d;
while (x % p == 0) {
cnt[d][i]++;
x /= p;
}
}
}
cin >> m;
for (int i = 0; i < 4; i++) {
int p = PRIMES[i];
while (m % p == 0) {
need[i]++;
m /= p;
}
}
string ls, rs;
cin >> ls >> rs;
__int128 l = toInt(ls);
__int128 r = toInt(rs);
int res1 = calc(l - 1);
int res2 = calc(r);
int res = (res2 + MOD - res1) % MOD;
cout << res;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 363ms
memory: 919284kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 358ms
memory: 919296kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 369ms
memory: 919220kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 339ms
memory: 919240kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 335ms
memory: 919532kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 344ms
memory: 919292kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 364ms
memory: 919272kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 368ms
memory: 919328kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 383ms
memory: 919232kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 373ms
memory: 919228kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 383ms
memory: 919236kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 391ms
memory: 919228kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 367ms
memory: 919516kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 371ms
memory: 919516kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 378ms
memory: 919328kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 327ms
memory: 919220kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 383ms
memory: 919512kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 376ms
memory: 919296kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 382ms
memory: 919532kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 388ms
memory: 919304kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 376ms
memory: 919236kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 378ms
memory: 919516kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 357ms
memory: 919520kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 386ms
memory: 919304kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 368ms
memory: 919228kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 382ms
memory: 919224kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 345ms
memory: 919448kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 378ms
memory: 919224kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 374ms
memory: 919288kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 374ms
memory: 919456kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 372ms
memory: 919224kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 391ms
memory: 919232kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 383ms
memory: 919496kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 380ms
memory: 919300kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 364ms
memory: 919236kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 382ms
memory: 919484kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 379ms
memory: 919292kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 340ms
memory: 919220kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 380ms
memory: 919296kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 368ms
memory: 919512kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 423ms
memory: 919304kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 375ms
memory: 919452kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 357ms
memory: 919300kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 368ms
memory: 919296kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 378ms
memory: 919332kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 371ms
memory: 919300kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 380ms
memory: 919176kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 384ms
memory: 919336kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 342ms
memory: 919336kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 368ms
memory: 919268kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 343ms
memory: 919228kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 345ms
memory: 919516kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 360ms
memory: 919272kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 344ms
memory: 919516kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'