package q8xx; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.math.BigInteger; import java.util.Arrays; import java.util.InputMismatchException; public class Q840_2 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { String N = ns(); if(N.length() <= 2){ int n = Integer.parseInt(N); if(n == 4 || n == 6 || n == 12 || n == 14 || n == 20 || n == 24){ out.println(n-1); return; } if(n == 21 || n == 25){ out.println(n-2); return; } } if(N.length() <= 3){ int n = Integer.parseInt(N); long[] isp = isp(1005); for(int w = 1;w <= n;w++){ if(check(n, w, isp)){ out.println(w); return; } } } // 8*3*5*7 int Z = 840; BigInteger bn = new BigInteger(N); int mt = bn.mod(BigInteger.valueOf(Z)).intValue(); if(mt == 0)mt += Z; BigInteger base = bn.divide(BigInteger.valueOf(Z)).multiply(BigInteger.valueOf(Z)); if(mt == Z)base = base.subtract(BigInteger.valueOf(Z)); boolean[] ok = new boolean[Z+1]; for(int num = 1;num <= Z;num++){ if(num > mt){ ok[num] = false; }else if(num == mt){ ok[num] = true; }else if(num % 3 == 0 || num % 5 == 0 || num % 2 == 0 || num % 7 == 0){ ok[num] = true; }else{ BigInteger x = base.add(BigInteger.valueOf(num)); if(x.isProbablePrime(30)){ ok[num] = false; }else{ ok[num] = true; } } } out.println(check(mt, 8, ok) ? 8 : 14); } static boolean check(int n, int w, boolean[] ok) { DJSet ds = new DJSet(n+1); for(int j = 1;j <= n;j++){ if(j+1 <= n && j%w != 0 && ok[j] && ok[j+1]){ ds.union(j, j+1); } if(j+w <= n && ok[j] && ok[j+w]){ ds.union(j, j+w); } } for(int i = 1;i <= w;i++){ if(ok[i] && ds.equiv(i, n))return true; } return false; } static boolean check(int n, int w, long[] isp) { DJSet ds = new DJSet(n+1); for(int j = 1;j <= n;j++){ if(j+1 <= n && j%w != 0 && isp[j>>>6]<<~j>=0 && isp[j+1>>>6]<<~(j+1)>=0){ ds.union(j, j+1); } if(j+w <= n && isp[j>>>6]<<~j>=0 && isp[j+w>>>6]<<~(j+w)>=0){ ds.union(j, j+w); } } return ds.equiv(1, n); } public static long[] isp(int n) { int[] tprimes = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61}; if(n <= 64){ long ptn = 0; for(int p : tprimes)if(p <= n)ptn |= 1L<
>>6] |= 1L<>>58)];
if((long)p*p > n)break out;
for(int q = p*p;q <= n;q += p)isnp[q>>6] |= 1L<= lenbuf){
ptrbuf = 0;
try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
if(lenbuf <= 0)return -1;
}
return inbuf[ptrbuf++];
}
private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
private double nd() { return Double.parseDouble(ns()); }
private char nc() { return (char)skip(); }
private String ns()
{
int b = skip();
StringBuilder sb = new StringBuilder();
while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
sb.appendCodePoint(b);
b = readByte();
}
return sb.toString();
}
private char[] ns(int n)
{
char[] buf = new char[n];
int b = skip(), p = 0;
while(p < n && !(isSpaceChar(b))){
buf[p++] = (char)b;
b = readByte();
}
return n == p ? buf : Arrays.copyOf(buf, p);
}
private int[] na(int n)
{
int[] a = new int[n];
for(int i = 0;i < n;i++)a[i] = ni();
return a;
}
private long[] nal(int n)
{
long[] a = new long[n];
for(int i = 0;i < n;i++)a[i] = nl();
return a;
}
private char[][] nm(int n, int m) {
char[][] map = new char[n][];
for(int i = 0;i < n;i++)map[i] = ns(m);
return map;
}
private int[][] nmi(int n, int m) {
int[][] map = new int[n][];
for(int i = 0;i < n;i++)map[i] = na(m);
return map;
}
private int ni() { return (int)nl(); }
private long nl()
{
long num = 0;
int b;
boolean minus = false;
while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
if(b == '-'){
minus = true;
b = readByte();
}
while(true){
if(b >= '0' && b <= '9'){
num = num * 10 + (b - '0');
}else{
return minus ? -num : num;
}
b = readByte();
}
}
private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}