QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#303568 | #7954. Special Numbers | PPP# | WA | 24ms | 15896kb | C++14 | 4.5kb | 2024-01-12 18:52:39 | 2024-01-12 18:52:40 |
Judging History
answer
//#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define X first
#define Y second
const ll mod = 1000000007;
//const ll mod = 998244353;
vector<ll> pr = {2,3,5,7};
ll dp[2][59][37][25][21];
ll val[10][4];
vector<ll> mx(4);
vector<ll> a(4);
void fill(int p)
{
if (p==pr.size())
{
dp[0][a[0]][a[1]][a[2]][a[3]] = 0;
dp[1][a[0]][a[1]][a[2]][a[3]] = 0;
return;
}
for (int i=0;i<=mx[p];i++)
{
a[p] = i;
fill(p+1);
}
}
void out(int p)
{
if (p==pr.size())
{
cout << a[0] << " " << a[1] << " " << a[2] << " " << a[3] << " ";
cout << dp[0][a[0]][a[1]][a[2]][a[3]] << " ";
cout << dp[1][a[0]][a[1]][a[2]][a[3]] << endl;
return;
}
for (int i=0;i<=mx[p];i++)
{
a[p] = i;
out(p+1);
}
}
int D = -1, pos = -1;
ll ans = 0;
void upd(int p)
{
if (p==pr.size())
{
if (pos!=0)
{
for (int d=1;d<=9;d++)
{
int ok = 1;
for (int j=0;j<4;j++)
{
if (a[j]>val[d][j]) ok = 0;
}
if (ok==0) continue;
ans = (ans+dp[0][a[0]][a[1]][a[2]][a[3]])%mod;
ans = (ans+dp[1][a[0]][a[1]][a[2]][a[3]])%mod;
}
}
else
{
for (int d=1;d<D;d++)
{
int ok = 1;
for (int j=0;j<4;j++)
{
if (a[j]>val[d][j]) ok = 0;
}
if (ok==0) continue;
ans = (ans+dp[0][a[0]][a[1]][a[2]][a[3]])%mod;
ans = (ans+dp[1][a[0]][a[1]][a[2]][a[3]])%mod;
}
{
int d = D;
int ok = 1;
for (int j=0;j<4;j++)
{
if (a[j]>val[d][j]) ok = 0;
}
if (ok!=0)
{
ans = (ans+dp[0][a[0]][a[1]][a[2]][a[3]])%mod;
}
}
}
ll x0 = dp[0][a[0]][a[1]][a[2]][a[3]];
ll x1 = dp[1][a[0]][a[1]][a[2]][a[3]];
dp[0][a[0]][a[1]][a[2]][a[3]] = 0;
dp[1][a[0]][a[1]][a[2]][a[3]] = 0;
for (int d=0;d<=9;d++)
{
vector<ll> b(4);
for (int j=0;j<4;j++)
{
b[j] = max(0LL,(a[j]-val[d][j]));
}
if (d<D)
{
dp[0][b[0]][b[1]][b[2]][b[3]] = (dp[0][b[0]][b[1]][b[2]][b[3]]+x0+x1)%mod;
}
if (d==D)
{
dp[0][b[0]][b[1]][b[2]][b[3]] = (dp[0][b[0]][b[1]][b[2]][b[3]]+x0)%mod;
dp[1][b[0]][b[1]][b[2]][b[3]] = (dp[1][b[0]][b[1]][b[2]][b[3]]+x1)%mod;
}
if (d>D)
{
dp[1][b[0]][b[1]][b[2]][b[3]] = (dp[1][b[0]][b[1]][b[2]][b[3]]+x0+x1)%mod;
}
}
return;
}
for (int i=0;i<=mx[p];i++)
{
a[p] = i;
upd(p+1);
}
}
ll calc(string s)
{
ans = 0;
fill(0);
dp[0][a[0]][a[1]][a[2]][a[3]] = 1;
for (ll i=s.length()-1;i>=0;i--)
{
D = s[i]-'0', pos = i;
upd(0);
//cout << "!!! " << i << endl;
//out(0);
}
return ans;
}
void solve()
{
ll k;
string s, t;
cin >> k >> s >> t;
for (ll i=0;i<pr.size();i++)
{
while (k%pr[i]==0) mx[i]++, k /= pr[i];
}
for (ll x=0;x<=9;x++)
{
if (x==0)
{
for (ll i=0;i<pr.size();i++)
{
val[x][i] = mx[i];
}
continue;
}
ll y = x;
for (ll i=0;i<pr.size();i++)
{
val[x][i] = 0;
while (y%pr[i]==0) val[x][i]++, y /= pr[i];
}
}
if (k!=1)
{
cout << 0 << "\n";
return;
}
ll A = (mod+calc(t)-calc(s))%mod;
for (ll i=0;i<s.length();i++)
{
ll d = s[i]-'0';
for (ll j=0;j<4;j++)
{
mx[j] -= val[d][j];
}
}
ll ok = 1;
for (ll i=0;i<4;i++) if (mx[i]>0) ok = 0;
A = (A+ok)%mod;
cout << A << "\n";
}
int main()
{
ios_base::sync_with_stdio(false);
ll T;
T = 1;
//cin >> T;
while (T--) solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5608kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 1ms
memory: 5608kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 1ms
memory: 5496kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 5488kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 1ms
memory: 5532kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 1ms
memory: 5548kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 0ms
memory: 15896kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 2ms
memory: 7524kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 2ms
memory: 7628kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 20ms
memory: 7780kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 19ms
memory: 7860kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 8ms
memory: 7668kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 24ms
memory: 7812kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 11ms
memory: 7868kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 8ms
memory: 12320kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3500kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3668kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 14ms
memory: 6836kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 6ms
memory: 7824kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 6ms
memory: 7852kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 5ms
memory: 7612kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 2ms
memory: 9912kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 0ms
memory: 10068kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 2ms
memory: 5604kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 4ms
memory: 6112kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 2ms
memory: 5904kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 5492kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 2ms
memory: 5504kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 6ms
memory: 9808kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 16ms
memory: 9772kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 6ms
memory: 4360kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3588kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 12ms
memory: 4532kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 6ms
memory: 4672kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 7ms
memory: 4796kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 10ms
memory: 3628kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 11ms
memory: 4440kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 7ms
memory: 4920kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: -100
Wrong Answer
time: 0ms
memory: 3484kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
0
result:
wrong answer 1st lines differ - expected: '922087167', found: '0'