Ideas : Preprocess each number , And then, if there is x^2=y^2+z^2 And z And y Coprime ,

s->x 1 ,0

x+n-> t 1 , 0

x->y+n -> 1 , inf-x-y

y->x+n-> 1 ,inf-x-y

#define inf 1000000
int l,r,pd[],L[],R[],cnt,sz,b[];
int tot,go[],next[],first[],cost[],flow[];
int op[],dis[],c[],vis[],edge[],from[];
int S,T,ans1,ans2;
int gcd(int a,int b){if (b==) return a;else return gcd(b,a%b);}
int read(){
char ch=getchar();int t=,f=;
while (ch<''||ch>''){if (ch=='-') f=-;ch=getchar();}
while (''<=ch&&ch<=''){t=t*+ch-'';ch=getchar();}
return t*f;
void insert(int x,int y,int z,int l){
void add(int x,int y,int z,int l){
bool spfa(){
for (int i=;i<=T;i++)
int h=,t=;c[]=S;vis[S]=;dis[S]=;
while (h<=t){
int now=c[h++];
for (int i=first[now];i;i=next[i]){
int pur=go[i];
if (dis[pur]>dis[now]+cost[i]&&flow[i]){
if (vis[pur]) continue;
return dis[T]!=inf;
void updata(){
int mn=0x3f3f3f3f;
for (int i=T;i!=S;i=from[i]){
for (int i=T;i!=S;i=from[i]){
int main(){
if (l>r) std::swap(l,r);
for (int i=;i<=;i++) pd[i*i]=i;
for (int j=l;j<=r;j++)
for (int i=j+;i<=r;i++){
int k=i*i-j*j;
if (pd[k]&&gcd(pd[k],j)==){
for (int i=l;i<=r;i++)
if (b[i])
for (int i=l;i<=r;i++)
if (b[i])
for (int i=;i<=cnt;i++){
while (spfa()) updata();
printf("%d ",ans1/);

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