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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#389184 | #7954. Special Numbers | kevinyang# | WA | 0ms | 3884kb | C++17 | 2.7kb | 2024-04-14 04:44:23 | 2024-04-14 04:44:23 |
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){
cout << "0\n";
return 0;
}
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());
}
int v = solve(r);
int v2 = solve(l);
//cout << v << ' ' << v2 << '\n';
v-=v2;
v%=mod;
v+=mod; v%=mod;
cout << v << '\n';
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3624kb
input:
5 1 20
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
5 50 100
output:
19
result:
ok single line: '19'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
15 11 19
output:
0
result:
ok single line: '0'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
1 100 100000
output:
99901
result:
ok single line: '99901'
Test #5:
score: -100
Wrong Answer
time: 0ms
memory: 3656kb
input:
1 1 1
output:
0
result:
wrong answer 1st lines differ - expected: '1', found: '0'