QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#327308 | #7954. Special Numbers | ckiseki | AC ✓ | 10ms | 22544kb | C++20 | 3.5kb | 2024-02-14 21:24:54 | 2024-02-14 21:24:55 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
constexpr int mod = 1'000'000'007;
constexpr int add(int a, int b) { return a + b >= mod ? a + b - mod : a + b; }
constexpr int sub(int a, int b) { return a - b < 0 ? a - b + mod : a - b; }
int d[30];
int step[30][2][57][36][25][21], stepc;
int dp[30][2][57][36][25][21];
void subD(int x, int &c2, int &c3, int &c5, int &c7) {
int cur2 = 0, cur3 = 0, cur5 = 0, cur7 = 0;
if (x == 0)
cur2 = 7122, cur3 = 7122, cur5 = 7122, cur7 = 7122;
else if (x == 2)
cur2 = 1;
else if (x == 3)
cur3 = 1;
else if (x == 4)
cur2 = 2;
else if (x == 5)
cur5 = 1;
else if (x == 6)
cur2 = 1, cur3 = 1;
else if (x == 7)
cur7 = 1;
else if (x == 8)
cur2 = 3;
else if (x == 9)
cur3 = 2;
c2 = max(0, c2 - cur2);
c3 = max(0, c3 - cur3);
c5 = max(0, c5 - cur5);
c7 = max(0, c7 - cur7);
}
int go(int n, bool any, int c2, int c3, int c5, int c7) {
if (n == -1)
return c2 + c3 + c5 + c7 == 0;
if (step[n][any][c2][c3][c5][c7] == stepc)
return dp[n][any][c2][c3][c5][c7];
step[n][any][c2][c3][c5][c7] = stepc;
int ret = 0;
for (int x = 0; x < 10; ++x) {
if (not any and x > d[n])
break;
int cur2 = c2, cur3 = c3, cur5 = c5, cur7 = c7;
subD(x, cur2, cur3, cur5, cur7);
ret = add(ret, go(n - 1, any or x < d[n], cur2, cur3, cur5, cur7));
}
return dp[n][any][c2][c3][c5][c7] = ret;
}
int step0[30][2][2];
int dp0[20][2][2];
int solve0(int n, bool any, bool has0) {
if (n == -1)
return has0;
if (step0[n][any][has0] == stepc)
return dp0[n][any][has0];
step0[n][any][has0] = stepc;
int ret = 0;
for (int x = 0; x < 10; ++x) {
if (not any and x > d[n])
break;
ret = add(ret, solve0(n - 1, any or x < d[n], has0 or (x == 0)));
}
return dp0[n][any][has0] = ret;
}
using i128 = __int128;
i128 Parse(string_view s) {
i128 r = 0;
for (auto c : s)
r = r * 10 + c - '0';
return r;
}
int solve(int64_t k, i128 b) {
if (b == 0)
return 0;
int c2 = 0, c3 = 0, c5 = 0, c7 = 0;
while (k % 2 == 0) {
k /= 2;
c2++;
}
while (k % 3 == 0) {
k /= 3;
c3++;
}
while (k % 5 == 0) {
k /= 5;
c5++;
}
while (k % 7 == 0) {
k /= 7;
c7++;
}
int n = 0;
while (b) {
d[n++] = b % 10;
b /= 10;
}
d[n] = 0;
stepc += 1;
int ret = 0;
if (k > 1) {
for (int i = n - 1; i >= 0; --i) {
if (i == n - 1) {
for (int j = 1; j <= d[i]; ++j) {
ret = add(ret, solve0(i - 1, j < d[i], false));
}
} else {
for (int j = 1; j < 10; ++j) {
ret = add(ret, solve0(i - 1, true, false));
}
}
}
return ret;
}
for (int i = n - 1; i >= 0; --i) {
if (i == n - 1) {
for (int j = 1; j <= d[i]; ++j) {
int cur2 = c2, cur3 = c3, cur5 = c5, cur7 = c7;
subD(j, cur2, cur3, cur5, cur7);
ret = add(ret, go(i - 1, j < d[i], cur2, cur3, cur5, cur7));
}
} else {
for (int j = 1; j < 10; ++j) {
int cur2 = c2, cur3 = c3, cur5 = c5, cur7 = c7;
subD(j, cur2, cur3, cur5, cur7);
ret = add(ret, go(i - 1, true, cur2, cur3, cur5, cur7));
}
}
}
return ret;
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int64_t k;
string l, r;
cin >> k >> l >> r;
cout << sub(solve(k, Parse(r)), solve(k, Parse(l) - 1)) << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3832kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3896kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 0ms
memory: 8464kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 0ms
memory: 5216kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 0ms
memory: 5524kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 0ms
memory: 7960kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 4ms
memory: 9892kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 4ms
memory: 7096kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 5ms
memory: 7656kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 0ms
memory: 8744kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 3ms
memory: 22544kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 2ms
memory: 5504kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 8ms
memory: 17216kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 0ms
memory: 7792kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 5ms
memory: 9128kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 2ms
memory: 5512kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 5ms
memory: 8964kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 0ms
memory: 12668kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 0ms
memory: 4956kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 0ms
memory: 9892kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 0ms
memory: 9268kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 1ms
memory: 4172kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 0ms
memory: 8552kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 3ms
memory: 14404kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 0ms
memory: 11464kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 1ms
memory: 4700kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 4ms
memory: 13048kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 3ms
memory: 13716kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 4ms
memory: 14188kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 3ms
memory: 5764kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 4ms
memory: 12212kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 10ms
memory: 15768kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 1ms
memory: 3812kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3604kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 0ms
memory: 6644kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 1ms
memory: 3936kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'