Description
If a number is the same as a number from left to right and a number from right to left, it is called the number of replies. For example, 121,1221 and 15651 are the number of replies. Given the number of digits n, find all the n-digit decimal numbers that are both the return number and the prime number. (Note: If the integer value range is exceeded ).
Input
Number of digits n, where 1 <= n <= 9.
Output
The first line outputs the number of prime numbers that meet the conditions.
The second line outputs all prime numbers that meet the conditions in ascending order. Separate them with a space.
Sample Input
1
Sample Output
4
2 3 5 7
Reference Code
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# Include <cstdio>
# Include <cmath>
# Include <cstdlib>
# Include <string>
Using namespace std;
Int result [5960];
Int r_s = 0;
Int digit [10];
Int a, B;
Int pm [10000];
Int pm_size = 0;
Void init ();
Class MyString: public string {
Public:
MyString (int n );
Bool isPlalindrome ();
Private:
String ds;
};
MyString: MyString (int n ){
While (n ){
Char ch = (n % 10) + '0 ';
N/= 10;
Ds. push_back (ch );
}
}
Bool MyString: isPlalindrome (){
Int len = ds. length ();
Int mid = len/2;
For (int I = 0; I <mid; ++ I ){
If (ds [I]! = Ds [len-I-1]) {
Return false;
}
}
Return true;
}
Void work (int c)
{
Int p = (c-1)> 1, I, j, s = 1, r, t1, t2;
If (c = 1)
{
If (a <= 2 & B> = 2)
Result [r_s ++] = 2;
If (a <= 3 & B> = 3)
Result [r_s ++] = 3;
If (a <= 5 & B> = 5)
Result [r_s ++] = 5;
If (a <= 7 & B> = 7)
Result [r_s ++] = 7;
Digit [c] = 4;
Return;
}
For (I = 0; I <p; I ++)
S * = 10;
For (I = 1; I <10; I + = 2)
{
For (j = 0; j <s; j ++)
{
R = I * s + j;
T1 = j/10;
T2 = p-1;
While (t2)
{
R = r * 10 + (t1% 10 );
T1/= 10;
T2 --;
}
R = r * 10 + I;
If (r <)
Continue;
If (r> B ){
Return;
}
MyString s (r );
If (s. isPlalindrome ()){
Bool bl = true;
For (int p = 0; p <pm_size & pm [p] <r; ++ p ){
If (r % pm [p] = 0 ){
Bl = false;
Break;
}
}
If (bl ){
Result [r_s ++] = r;
Digit [c] ++;
}
}
}
}
}
Int main ()
{
Int I, p, c;
A = 2; B = 1000000000;
P = 1;
C = 0;
Init ();
While (p <)
{
C ++;
P * = 10;
}
P/= 10;
While (p <B)
{
If (c = 2)
{
Digit [c] = 1;
Result [r_s ++] = 11;
}
If (c & 1)
Work (c );
C ++;
P * = 10;
}
Int n, start, end;
Scanf ("% d", & n );
Printf ("% d \ n", digit [n]);
Start = (int) pow (10.0, n-1 );
End = (int) pow (10.0, n );
For (I = 0; I <r_s; ++ I ){
If (result [I]> = start & result [I] <= end ){
Printf ("% d", result [I]);
}
}
Printf ("\ n ");
Return 0;
}
Void init (){
For (int p = 2; p <= 100000; ++ p ){
Bool bl = true;
For (int k = 2; k <= sqrt (1.0 * p); ++ k ){
If (p % k = 0 ){
Bl = false;
Break;
}
}
If (bl ){
Pm [pm_size ++] = p;
}
}
For (int I = 0; I <10; ++ I ){
Digit [I] = 0;
}
}
# Include <cstdio>
# Include <cmath>
# Include <cstdlib>
# Include <string>
Using namespace std;
Int result [5960];
Int r_s = 0;
Int digit [10];
Int a, B;
Int pm [10000];
Int pm_size = 0;
Void init ();
Class MyString: public string {
Public:
MyString (int n );
Bool isPlalindrome ();
Private:
String ds;
};
MyString: MyString (int n ){
While (n ){
Char ch = (n % 10) + '0 ';
N/= 10;
Ds. push_back (ch );
}
}
Bool MyString: isPlalindrome (){
Int len = ds. length ();
Int mid = len/2;
For (int I = 0; I <mid; ++ I ){
If (ds [I]! = Ds [len-I-1]) {
Return false;
}
}
Return true;
}
Void work (int c)
{
Int p = (c-1)> 1, I, j, s = 1, r, t1, t2;
If (c = 1)
{
If (a <= 2 & B> = 2)
Result [r_s ++] = 2;
If (a <= 3 & B> = 3)
Result [r_s ++] = 3;
If (a <= 5 & B> = 5)
Result [r_s ++] = 5;
If (a <= 7 & B> = 7)
Result [r_s ++] = 7;
Digit [c] = 4;
Return;
}
For (I = 0; I <p; I ++)
S * = 10;
For (I = 1; I <10; I + = 2)
{
For (j = 0; j <s; j ++)
{
R = I * s + j;
T1 = j/10;
T2 = p-1;
While (t2)
{
R = r * 10 + (t1% 10 );
T1/= 10;
T2 --;
}
R = r * 10 + I;
If (r <)
Continue;
If (r> B ){
Return;
}
MyString s (r );
If (s. isPlalindrome ()){
Bool bl = true;
For (int p = 0; p <pm_size & pm [p] <r; ++ p ){
If (r % pm [p] = 0 ){
Bl = false;
Break;
}
}
If (bl ){
Result [r_s ++] = r;
Digit [c] ++;
}
}
}
}
}
Int main ()
{
Int I, p, c;
A = 2; B = 1000000000;
P = 1;
C = 0;
Init ();
While (p <)
{
C ++;
P * = 10;
}
P/= 10;
While (p <B)
{
If (c = 2)
{
Digit [c] = 1;
Result [r_s ++] = 11;
}
If (c & 1)
Work (c );
C ++;
P * = 10;
}
Int n, start, end;
Scanf ("% d", & n );
Printf ("% d \ n", digit [n]);
Start = (int) pow (10.0, n-1 );
End = (int) pow (10.0, n );
For (I = 0; I <r_s; ++ I ){
If (result [I]> = start & result [I] <= end ){
Printf ("% d", result [I]);
}
}
Printf ("\ n ");
Return 0;
}
Void init (){
For (int p = 2; p <= 100000; ++ p ){
Bool bl = true;
For (int k = 2; k <= sqrt (1.0 * p); ++ k ){
If (p % k = 0 ){
Bl = false;
Break;
}
}
If (bl ){
Pm [pm_size ++] = p;
}
}
For (int I = 0; I <10; ++ I ){
Digit [I] = 0;
}
}
Author: "ice is cold: read more, write more, and sleep more ."