#include <stdio.h> #include <math.h> #define LL long long typedef struct { LL num; int len; } digit; LL ans,n; LL p[18]; int len; bool f; digit q[100005]; int bfs(int cur) { if(f)return 0; int front=0,rear=0; for(int i=0; i<=9; i++) { LL t=i*p[0]; if((t*t)%p[1]==n%p[1]) { q[rear].num=t; q[rear].len=1; rear++; } } //printf("%d\n",rear); while(front<rear) { LL u=q[front].num; int l=q[front].len; //printf("%I64d\n",u); if((u*u)%p[len]==n) { f=true; if(u<ans) ans=u; } if(l>len)return 0; //if(u==0)l=1; //printf("%I64d\n",l); for(int i=0; i<=9; i++) { LL t=i*p[l]+u; if((t*t)%p[l+1]==n%p[l+1]) { q[rear].num=t; q[rear].len=l+1; rear++; } } front++; } return 0; } int main() { p[0]=1; for(int i=1; i<18; i++) { p[i]=p[i-1]*10; } int T; scanf("%d",&T); while(T--) { scanf("%I64d",&n); len=log10(n)+1; int k=n%10; f=false; ans=1LL<<62; if(k==0||k==1||k==4||k==5||k==6||k==9) { bfs(0); } if(!f) printf("None\n"); else printf("%I64d\n",ans); } return 0; } #include <stdio.h> #include <math.h> #define LL long long typedef struct { LL num; int len; } digit; LL ans,n; LL p[18]; int len; bool f; digit q[100005]; int bfs(int cur) { if(f)return 0; int front=0,rear=0; for(int i=0; i<=9; i++) { LL t=i*p[0]; if((t*t)%p[1]==n%p[1]) { q[rear].num=t; q[rear].len=1; rear++; } } //printf("%d\n",rear); while(front<rear) { LL u=q[front].num; int l=q[front].len; //printf("%I64d\n",u); if((u*u)%p[len]==n) { f=true; if(u<ans) ans=u; } if(l>len)return 0; //if(u==0)l=1; //printf("%I64d\n",l); for(int i=0; i<=9; i++) { LL t=i*p[l]+u; if((t*t)%p[l+1]==n%p[l+1]) { q[rear].num=t; q[rear].len=l+1; rear++; } } front++; } return 0; } int main() { p[0]=1; for(int i=1; i<18; i++) { p[i]=p[i-1]*10; } int T; scanf("%d",&T); while(T--) { scanf("%I64d",&n); len=log10(n)+1; int k=n%10; f=false; ans=1LL<<62; if(k==0||k==1||k==4||k==5||k==6||k==9) { bfs(0); } if(!f) printf("None\n"); else printf("%I64d\n",ans); } return 0; }