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70.cpp
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122 lines (108 loc) · 2.22 KB
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#include <iostream>
#include <sstream>
#include <algorithm>
#include <iterator>
#include <vector>
#include <deque>
#include <set>
#include <map>
#include <cmath>
using namespace std;
#define REP(i,n) for(int i=0;i<(n);++i)
#define FOR(i,a,b) for(int i=(a);i<=(b);++i)
#define RFOR(i,a,b) for(int i=(a);i>=(b);--i)
typedef long long LL;
vector<string> split( const string& s, const string& delim =" " ) {
vector<string> res;
string t;
for ( int i = 0 ; i != s.size() ; i++ ) {
if ( delim.find( s[i] ) != string::npos ) {
if ( !t.empty() ) {
res.push_back( t );
t = "";
}
} else {
t += s[i];
}
}
if (!t.empty() ) {
res.push_back(t);
}
return res;
}
vector<int> splitInt( const string& s, const string& delim =" " ) {
vector<string> tok = split( s, delim );
vector<int> res;
for ( int i = 0 ; i != tok.size(); i++ )
res.push_back( atoi( tok[i].c_str() ) );
return res;
}
LL gcd(LL a,LL b){
return b?gcd(b,a%b):a;
}
inline LL lcm(LL a,LL b){
return a/gcd(a,b)*b;
}
int s2i(string s) {
stringstream ss;
ss << s;
int res;
ss >> res;
return res;
}
string i2s(int n) {
stringstream ss;
ss << n;
string res;
ss >> res;
return res;
}
#define MAXN 10000000
int plist[1000000],pcount=0;
int prime(int n){
int i;
if ((n!=2&&!(n%2))||(n!=3&&!(n%3))||(n!=5&&!(n%5))||(n!=7&&!(n%7)))
return 0;
for (i=0;plist[i]*plist[i]<=n;i++)
if (!(n%plist[i]))
return 0;
return n>1;
}
void initprime(){
int i;
for (plist[pcount++]=2,i=3;i<MAXN;i++)
if (prime(i))
plist[pcount++]=i;
}
int mm[MAXN + 5];
void run() {
initprime();
cout << pcount << " " << plist[pcount - 1] << endl;
FOR(i,2,MAXN-1) mm[i] = i;
REP(i,pcount) {
int p = plist[i];
for (int s = p; s < MAXN; s += p) {
mm[s] = (LL) mm[s] * (p - 1) / p;
}
}
double mi = 87109.0 / 79180.0;
int idx = 87109;
FOR(i,2,MAXN-1) {
string s1 = i2s(i);
string s2 = i2s(mm[i]);
if (s1.length() != s2.length()) continue;
sort(s1.begin(), s1.end());
sort(s2.begin(), s2.end());
if (s1 == s2) {
double temp = i * 1.0 / mm[i];
if (temp < mi) {
mi = temp;
idx = i;
}
}
}
cout << idx << " - " << mm[idx] << endl;
}
int main() {
run();
}