QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#389189 | #7954. Special Numbers | kevinyang# | AC ✓ | 349ms | 14056kb | C++17 | 2.8kb | 2024-04-14 05:02:23 | 2024-04-14 05:02:24 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod = (int)1e9+7;
pair<int,int> get(int n, int x){
int v = 0;
while(n%x==0){
v++;
n/=x;
}
return make_pair(n,v);
}
vector<int>p = {2,3,5,7};
vector<int>sz;
int k;
vector<int>factors;
map<int,int>dp[25][2]; // length, equals so far
int solve(string s){
for(int i = 0; i<25; i++){
dp[i][0].clear();
dp[i][1].clear();
}
dp[0][1][1] = 1;
s = " " + s;
for(int t = 1; t<s.size(); t++){
for(int d = 0; d<10; d++){
for(int u: factors){
dp[t][0][__gcd(u*d,k)] += dp[t-1][0][u]; dp[t][0][__gcd(u*d,k)]%=mod;
}
if(t > 1 && d > 0){
dp[t][0][__gcd(d,k)]++;
dp[t][0][__gcd(d,k)]%=mod;
//cout << "upd " << t << ' ' << __gcd(d,k) << ' ' << dp[t][0][__gcd(d,k)] << '\n';
}
}
for(int d = 0; d<=s[t]-'0'; d++){
//cout << "trying " << d << '\n';
if(d==0 && t==1)continue;
if(d<s[t]-'0'){
for(int u: factors){
dp[t][0][__gcd(u*d,k)] += dp[t-1][1][u]; dp[t][0][__gcd(u*d,k)]%=mod;
}
}
else{
for(int u: factors){
dp[t][1][__gcd(u*d,k)] += dp[t-1][1][u]; dp[t][1][__gcd(u*d,k)]%=mod;
}
}
}
}
/*
if(s.size() >= 3)for(auto [a,b] : dp[3][0]){
cout << a << ' ' << b << '\n';
}
if(s.size() >= 3)for(auto [a,b] : dp[2][0]){
cout << a << ' ' << b << ' ' << 1 << '\n';
}
if(s.size() >= 3)for(auto [a,b] : dp[1][0]){
cout << a << ' ' << b << ' ' << -1 << '\n';
}
*/
int ans = dp[s.size()-1][0][k] + dp[s.size()-1][1][k];
//cout << ans << '\n';
return ans%mod;
}
signed main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> k;
int k2 = k;
for(int i = 0; i<4; i++){
auto [nk, cnt] = get(k2,p[i]);
sz.push_back(cnt);
k2 = nk;
}
for(int a = 0; a<=sz[0]; a++){
for(int b = 0; b<=sz[1]; b++){
for(int c = 0; c<=sz[2]; c++){
for(int d = 0; d<=sz[3]; d++){
int v = 1;
for(int i = 0; i<a; i++){
v*=2;
}
for(int i = 0; i<b; i++){
v*=3;
}
for(int i = 0; i<c; i++){
v*=5;
}
for(int i = 0; i<d; i++){
v*=7;
}
factors.push_back(v);
}
}
}
}
sort(factors.begin(),factors.end());
/*
cerr << k2 << '\n';
cerr << "gay\n";
for(int nxt: factors){
cout << nxt << ' ';
}
cout << '\n' << '\n';
*/
if(k2!=1){
factors.clear();
factors.push_back(1);
factors.push_back(11);
k = 11;
}
string l,r;
cin >> l >> r;
for(int i = (int)l.size()-1; i>=0; i--){
if(l[i] == '0'){
l[i] = '9';
continue;
}
l[i]--;
break;
}
if(l[0] == '0'){
l.erase(l.begin());
}
if(l.empty()){
cout << solve(r)%mod << '\n';
return 0;
}
int v = solve(r);
int v2 = solve(l);
//cout << v << ' ' << v2 << '\n';
//cout << l << ' ' << r << '\n';
v-=v2;
v%=mod;
v+=mod; v%=mod;
cout << v << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3520kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3624kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
10 800 43021
output:
23570
result:
ok single line: '23570'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3676kb
input:
1125899906842624 1 100000000000000000000
output:
555058180
result:
ok single line: '555058180'
Test #8:
score: 0
Accepted
time: 8ms
memory: 3884kb
input:
187500000 5941554024261918062 17356601866920567143
output:
679191360
result:
ok single line: '679191360'
Test #9:
score: 0
Accepted
time: 3ms
memory: 4072kb
input:
1555848 157165614890794026 49792374427566422833
output:
588832126
result:
ok single line: '588832126'
Test #10:
score: 0
Accepted
time: 213ms
memory: 10384kb
input:
53814924637488000 8378901287491856069 46225409092942057365
output:
964965504
result:
ok single line: '964965504'
Test #11:
score: 0
Accepted
time: 349ms
memory: 14056kb
input:
11814720750000000 8152927138245188051 35351923956338524619
output:
183963359
result:
ok single line: '183963359'
Test #12:
score: 0
Accepted
time: 99ms
memory: 6600kb
input:
6453888000000 4334845344448208535 35982793193772682339
output:
570114022
result:
ok single line: '570114022'
Test #13:
score: 0
Accepted
time: 158ms
memory: 8348kb
input:
90071357282285400 7893548167754114409 27099084703937108974
output:
869822186
result:
ok single line: '869822186'
Test #14:
score: 0
Accepted
time: 149ms
memory: 8600kb
input:
45571065750000 177160749596350425 98884377930460959454
output:
607698665
result:
ok single line: '607698665'
Test #15:
score: 0
Accepted
time: 85ms
memory: 6512kb
input:
1128443962982400 6338876482181492537 40931938533793596007
output:
881168270
result:
ok single line: '881168270'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
1 1 1
output:
1
result:
ok single line: '1'
Test #17:
score: 0
Accepted
time: 65ms
memory: 5816kb
input:
1412793457031250 2410155470167050095 99063185266833009818
output:
399813226
result:
ok single line: '399813226'
Test #18:
score: 0
Accepted
time: 182ms
memory: 9340kb
input:
67722117120000 8909573534349989418 73129289758235281558
output:
898227227
result:
ok single line: '898227227'
Test #19:
score: 0
Accepted
time: 58ms
memory: 5684kb
input:
472055808000 6809917603531307093 27494416416722163137
output:
379198478
result:
ok single line: '379198478'
Test #20:
score: 0
Accepted
time: 59ms
memory: 5620kb
input:
19353600000 8687492345912514346 24058039408337150852
output:
250715555
result:
ok single line: '250715555'
Test #21:
score: 0
Accepted
time: 48ms
memory: 5188kb
input:
47855420020225440 6150828649270625443 84863934988301168136
output:
665186711
result:
ok single line: '665186711'
Test #22:
score: 0
Accepted
time: 26ms
memory: 4532kb
input:
1382400000 9545797804645162278 70441077437727026904
output:
278230087
result:
ok single line: '278230087'
Test #23:
score: 0
Accepted
time: 9ms
memory: 4004kb
input:
816293376 2952089614708276156 10939708785225040670
output:
120954190
result:
ok single line: '120954190'
Test #24:
score: 0
Accepted
time: 8ms
memory: 4128kb
input:
4185097875 1348426133484952253 56617823359794500344
output:
773995224
result:
ok single line: '773995224'
Test #25:
score: 0
Accepted
time: 48ms
memory: 5120kb
input:
5828945117184 7777082394971366991 63470232991138132969
output:
678496908
result:
ok single line: '678496908'
Test #26:
score: 0
Accepted
time: 39ms
memory: 4920kb
input:
16184770560 3869053219872876321 94590086601168840932
output:
168181821
result:
ok single line: '168181821'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
2 1 12
output:
6
result:
ok single line: '6'
Test #28:
score: 0
Accepted
time: 9ms
memory: 3996kb
input:
30146484375 290228705524339176 51853415145287716863
output:
229436627
result:
ok single line: '229436627'
Test #29:
score: 0
Accepted
time: 98ms
memory: 6748kb
input:
2072513819443200 3726664558969607832 42501102605103061370
output:
947952932
result:
ok single line: '947952932'
Test #30:
score: 0
Accepted
time: 262ms
memory: 11844kb
input:
9920232000000000 4602219263214498291 80783137037024823899
output:
846877519
result:
ok single line: '846877519'
Test #31:
score: 0
Accepted
time: 126ms
memory: 7668kb
input:
97200000000000000 9310820760839688870 35322929083473756214
output:
936587432
result:
ok single line: '936587432'
Test #32:
score: 0
Accepted
time: 17ms
memory: 4464kb
input:
45209390625 5752361069878044328 64635325028527078951
output:
578047592
result:
ok single line: '578047592'
Test #33:
score: 0
Accepted
time: 201ms
memory: 10524kb
input:
54442233216000 2452030574225118723 90982734056131320662
output:
417646585
result:
ok single line: '417646585'
Test #34:
score: 0
Accepted
time: 56ms
memory: 5652kb
input:
1530550080000 7431421026778839808 84825282227911272129
output:
600103842
result:
ok single line: '600103842'
Test #35:
score: 0
Accepted
time: 124ms
memory: 7824kb
input:
13765147361280 4924477486471254843 10002324705150566233
output:
951883713
result:
ok single line: '951883713'
Test #36:
score: 0
Accepted
time: 144ms
memory: 8316kb
input:
59825698242187500 6303744363677706767 91410210495502213963
output:
774734375
result:
ok single line: '774734375'
Test #37:
score: 0
Accepted
time: 151ms
memory: 8496kb
input:
110658879959040 2133591391458550040 48494371567095341228
output:
103505650
result:
ok single line: '103505650'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
1 3 100
output:
98
result:
ok single line: '98'
Test #39:
score: 0
Accepted
time: 136ms
memory: 7852kb
input:
3160365465600 8968721517098518892 78444481529635953131
output:
364620926
result:
ok single line: '364620926'
Test #40:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
54838448056132899 4242999884713464056 92948071680698209741
output:
922087167
result:
ok single line: '922087167'
Test #41:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
78183771565555182 7823307199080715671 93466469990450000599
output:
635073629
result:
ok single line: '635073629'
Test #42:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
56555532446322947 2952925229100796893 35926880503684324113
output:
663547216
result:
ok single line: '663547216'
Test #43:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
15701121272683095 8633703383009071570 55273589042372583668
output:
253996413
result:
ok single line: '253996413'
Test #44:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
11914467542453704 2857068399817941722 83230805830740136213
output:
956698341
result:
ok single line: '956698341'
Test #45:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
28181999963152819 7948365158338416594 87742700746768593189
output:
720016372
result:
ok single line: '720016372'
Test #46:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
85409868208332321 3921672860136397259 55474188860042435613
output:
622329181
result:
ok single line: '622329181'
Test #47:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
14748052718175068 9293071633738211123 85443373435217434149
output:
38392129
result:
ok single line: '38392129'
Test #48:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
41002058985303228 6141335647135876923 78910335860595680506
output:
665823537
result:
ok single line: '665823537'
Test #49:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
4 3 123
output:
62
result:
ok single line: '62'
Test #50:
score: 0
Accepted
time: 10ms
memory: 4456kb
input:
100000000000000000 3 100000000000000000000
output:
302574822
result:
ok single line: '302574822'
Test #51:
score: 0
Accepted
time: 0ms
memory: 3652kb
input:
6 7 12034
output:
9505
result:
ok single line: '9505'
Test #52:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
7 8 43021
output:
25028
result:
ok single line: '25028'
Test #53:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
8 8 43021
output:
32619
result:
ok single line: '32619'
Test #54:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
9 800 43021
output:
30930
result:
ok single line: '30930'