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//by oujiangping [email protected]
#include<iostream>
#include<cmath>
#include "stdio.h"
using std::cin;
using std::cout;
using std::endl;
int s0[4][4] = {{1,0,3,2},{3,2,1,0},{0,2,1,3},{3,1,3,2}};
int s1[4][4] = {{0,1,2,3},{2,0,1,3},{3,0,1,0},{2,1,0,3}};
void P10(int *key,int *p10,int *p8,int *k,int first){
if(first==0){
int key_temp[10];
for(int i = 0;i<10;i++)
key_temp[i] = key[p10[i]];
for(int i=0;i<10;i++)
key[i]=key_temp[i];
}
if(first==0){
int temp;
temp = key[0];
for(int i = 0;i<4;i++)
key[i] =key[i+1];
key[4] = temp;
temp = key[5];
for(int i =5;i<=8;i++)
key[i] = key[i+1];
key[9] = temp;
}else{
int temp,temp1;
temp = key[0];
temp1 = key[1];
for(int i = 0;i<3;i++)
key[i] =key[i+2];
key[3]=temp;
key[4]=temp1;
temp = key[5];
temp1 = key[6];
for(int i = 5;i<=7;i++)
key[i] =key[i+2];
key[8]=temp;
key[9]=temp1;
}
for(int i =0;i<8;i++)
k[i] = key[p8[i]];
}
void Ip(int *input,int *ip,int *output){
for(int i = 0;i<8;i++)
output[i] = input[ip[i]];
}
bool get_input(int *input,int n){
char in[n+1];
int c =0;
while((in[c]=getchar())!='/n'&&in[c]!=EOF){
c++;
if(c>=(n+1))
break;
}
for(int i = 0; i<n;i++){
if((in[i]-'0')<=1)
input[i] = (in[i]-'0');
else
return false;
}
return true;
}
void print(int *output,int n){
for(int i =0 ;i<n;i++)
cout<<output[i];
cout<<endl;
}
void fk(int *lr,int *sk,int *ep,int *ip4){
int p4[4];
int p_temp[8];
int ep_r[8];
for(int i=0;i<4;i++)
ep_r[i]=lr[ep[i]+4];
for(int i=4;i<=7;i++)
ep_r[i]=lr[ep[i]+4];
for(int i=0;i<8;i++)
p_temp[i]=ep_r[i]^sk[i];
for(int i=0;i<8;i++)
p4[1]=s0[p_temp[0]*2+p_temp[3]][p_temp[1]*2+p_temp[2]]%2;
p4[0]=(s0[p_temp[0]*2+p_temp[3]][p_temp[1]*2+p_temp[2]])/2;
p4[3]=s1[p_temp[4]*2+p_temp[7]][p_temp[5]*2+p_temp[6]]%2;
p4[2]=(s1[p_temp[4]*2+p_temp[7]][p_temp[5]*2+p_temp[6]])/2;
int p4_temp[4];
for(int i=0;i<4;i++)
p4_temp[i]=p4[ip4[i]];
for(int i=0;i<4;i++)
lr[i]=lr[i]^p4_temp[i];
}
void swap(int *lr){
int temp;
for(int i=0;i<4;i++){
temp=lr[i];
lr[i]=lr[i+4];
lr[i+4]=temp;
}
}
void char_bin(char a,int *input_ip){
for(int i=0;i<8;i++)
input_ip[i]=0;
int b=(int)a;
int i=0;
while(true){
if(b<2)
input_ip[i++]=b;
else
input_ip[i++]=b%2;
b=b/2;
if(b<2){
input_ip[i++]=b;
break;
}
}
}
char bin_char(int *input_ip){
int first=0;
for(int i=7;i>=0;i--)
if(input_ip[i]!=0){
first=i;
break;
}
int a=0;
for(int i=0;i<=first;i++)
a+=pow((double)2,i)*input_ip[i];
return (char)a;
}
void encoding(char *a,int size,int *k1,int *k2,int *ip,int *ipr,int *ep,int *ip4){
int input_ip[8]={0,0,0,0,0,0,0,0};
int output_ip[8]={0,0,0,0,0,0,0,0};
int ci[300][8];
int last=0;
for(int i=0;i<size;i++)
if(a[i]=='n'||a[i]=='