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251 lines (219 loc) · 8.52 KB
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/*
ID: xieke.b1
PROB: prime3
LANG: C++
*/
#include <iostream>
#include <sstream>
#include <fstream>
#include <algorithm>
#include <map>
#include <stack>
#include <vector>
#include <string.h>
using namespace std;
ifstream fin("prime3.in");
ofstream fout("prime3.out");
const int INF = 999999999;
int N;
typedef vector<int> vi;
typedef vector<string> vs;
const int MAXN = 30000;
int prime_sum, init;
int cnt = 0;
//vector<int> primes;
vector<int> counts[50];
int prime(){
memset(counts,0,sizeof(counts));
for(int i=10000; i<=99999; i++){
bool is_prime = true;
for(int j=2; j*j<=i; j++){
if(i%j==0){
is_prime = false;
break;
}
}
if(is_prime){
//primes.push_back(i);
int t = i, sum=0;
while(t){
sum+=t%10;
t/=10;
}
if(i/10000==0)
continue;
counts[sum].push_back(i);
}
}
}
int primes[700][5];
void break_down(vector<int> vp){
memset(primes,-1,sizeof(primes));
for(int i=0; i<vp.size(); i++){
int p = vp[i];
int dig = 4;
while(p){
primes[i][dig] = p%10;
dig--;
p/=10;
}
cnt ++;
}
}
string convert(int a){
ostringstream ss;
ss<<a;
string str = ss.str();
return str;
}
int primes_first[10][10][500];
int primes_second[10][10][10][500];
int primes_third[10][500];
int c_first[10][10];
int c_second[10][10][10];
int c_third[10];
void my_break_down(vector<int> vp){
break_down(vp);
for(int i=0; i<cnt; i++){
int a = primes[i][0], b = primes[i][4];
primes_first[a][b][c_first[a][b]] = i;
c_first[a][b]++;
}
for(int i=0; i<cnt; i++){
int a = primes[i][1], b = primes[i][3], f = primes[i][0];
primes_second[f][a][b][c_second[f][a][b]] = i;
c_second[f][a][b]++;
}
for(int i=0; i<cnt; i++){
int a = primes[i][2];
primes_third[a][c_third[a]] = i;
c_third[a]++;
}
}
bool in[100000];
vector< vector<int> > ans;
typedef pair<string, vector<int> > psv;
int work(){
memset(in,0,sizeof(in));
memset(c_first,0,sizeof(c_first));
memset(c_second,0,sizeof(c_second));
memset(c_third,0,sizeof(c_third));
vector<int> vp = counts[prime_sum];
for(int i=0; i<vp.size(); i++){
in[vp[i]]=true;
}
my_break_down(vp);
int sz = vp.size();
int ccc = 0;
int num[5];
int sum = 0;
int cols[5];
bool ok;
for(int f=0; f<sz; f++){
if(primes[f][0]!=init)continue;
for(int i=0; i<sz; i++){
if(primes[i][0]!=init)continue;
for(int j=0; j<sz; j++){
if(primes[i][2]!=primes[j][2])continue;
int a_x = primes[i][0], a_y = primes[j][4];
int a_sz = c_first[a_x][a_y];
for(int a=0; a<a_sz; a++){
int idx_a = primes_first[a_x][a_y][a];
if(primes[f][0]!=primes[idx_a][0])continue;
int b_x = primes[i][1], b_y = primes[j][3];
int b_sz = c_second[primes[f][1]][b_x][b_y];
for(int b = 0; b<b_sz; b++){
int idx_b = primes_second[primes[f][1]][b_x][b_y][b];
if(primes[f][1]!=primes[idx_b][0])continue;
int c_x = primes[i][2];
int c_sz = c_third[c_x];
for(int c=0; c<c_sz; c++){
int idx_c = primes_third[c_x][c];
if(primes[idx_c][0]!=primes[f][2])continue;
int d_x = primes[j][1], d_y = primes[i][3];
int d_sz = c_second[primes[f][3]][d_x][d_y];
for(int d=0; d<d_sz; d++){
int idx_d = primes_second[primes[f][3]][d_x][d_y][d];
if(primes[idx_d][0]!=primes[f][3])continue;
int e_x = primes[j][0], e_y = primes[i][4];
int e_sz = c_first[e_x][e_y];
for(int e=0; e<e_sz; e++){
int idx_e = primes_first[e_x][e_y][e];
if(primes[idx_e][0]!=primes[f][4])continue;
//ccc++;
bool ok = true;
for(int p=0; p<5; p++){
int sum = primes[idx_a][p] + primes[idx_b][p] + primes[idx_c][p] + primes[idx_d][p] + primes[idx_e][p];
//int sum = primes[primes_first[a_x][a_y][a]][p] + primes[primes_second[b_x][b_y][b]][p] + primes[primes_third[c_x][c]][p] + primes[primes_second[d_x][d_y][d]][p] + primes[primes_first[e_x][e_y][e]][p];
int num = primes[idx_a][p]*10000+primes[idx_b][p]*1000+primes[idx_c][p]*100+primes[idx_d][p]*10+primes[idx_e][p];
/*
if( vp[i]==26777 && vp[j]==36749 && vp[idx_a]==25589 && vp[idx_b]==66449 && vp[idx_c]==99713) {
cout<<"e_x e_y "<<e_x<<" "<<e_y<<endl;
cout<<"vc -> "<<idx_c<<endl;
int num = primes[idx_a][p]*10000+primes[idx_b][p]*1000+primes[idx_c][p]*100+primes[idx_d][p]*10+primes[idx_e][p];
cout<<" number is "<<num<<" " << in[num]<<" sum is "<<sum<<" prime_sum = "<<prime_sum<<endl;
}*/
if(sum!=prime_sum || !in[num]){
ok=false;
break;
}
}
if(!ok)continue;
int i_diag = 0, j_diag=0;
i_diag = primes[idx_a][0] + primes[idx_b][1] + primes[idx_c][2] + primes[idx_d][3] + primes[idx_e][4];
if(i_diag!=prime_sum)continue;
j_diag = primes[idx_a][4] + primes[idx_b][3] + primes[idx_c][2] + primes[idx_d][1] + primes[idx_e][0];
if(j_diag!=prime_sum)continue;
int n_i_diag = 10000*primes[idx_a][0] + 1000*primes[idx_b][1] + 100*primes[idx_c][2] + 10*primes[idx_d][3] + primes[idx_e][4];
if(!in[n_i_diag])continue;
int n_j_diag = primes[idx_a][4] + 10*primes[idx_b][3] + 100*primes[idx_c][2] + 1000*primes[idx_d][1] + 10000*primes[idx_e][0];
if(!in[n_j_diag])continue;
//if(i_diag==j_diag && j_diag==prime_sum && in[n_i_diag] && in[n_j_diag]){
vector<int> t;
t.push_back(vp[idx_a ]);t.push_back(vp[ idx_b]);t.push_back(vp[idx_c]);t.push_back(vp[idx_d]);t.push_back(vp[idx_e]);
ans.push_back(t);
/*
cout<<vp[idx_a]<<endl;
cout<<vp[idx_b]<<endl;
cout<<vp[idx_c]<<endl;
cout<<vp[idx_d]<<endl;
cout<<vp[idx_e]<<endl;
cout<<"****"<<endl;
*/
//}
}
}
}
}
}
}
}
}
//cout<<ccc<<endl;
vector<psv> v;
for(int i=0; i<ans.size(); i++){
string s;
for(int j=0; j<ans[i].size(); j++){
s+=convert(ans[i][j]);
}
v.push_back( psv(s, ans[i]));
}
sort(v.begin(), v.end());
if(v.size()==0){
fout<<"NONE"<<endl;
}else{
for(int i=0; i<v.size(); i++){
for(int j=0; j<v[i].second.size(); j++){
fout<<v[i].second[j]<<endl;
}
if(i!=v.size()-1)
fout<<endl;
}
}
}
int main(){
prime();
fin>>prime_sum>>init;
work();
return 0;
}
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