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#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
import java.math.BigInteger;
import java.nio.ByteBuffer;
import java.security.MessageDigest;
import java.security.NoSuchAlgorithmException;
import java.util.Arrays;
public class ed25519 {
static final int b = 256;
static final BigInteger q = new BigInteger("57896044618658097711785492504343953926634992332820282019728792003956564819949");
static final BigInteger qm2 = new BigInteger("57896044618658097711785492504343953926634992332820282019728792003956564819947");
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>
#include <vector>
#include <string>
#include <iostream>
#include <fstream>
#include <sstream>
#include <list>
#include <algorithm>
#include <sstream>
#include <set>
#include <cmath>