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| #include <bits/stdc++.h>
#include <unistd.h>
#define inf 0x3f3f3f3f
using namespace std;
const int MAXN = 3200,MAXM = MAXN*100,N = MAXN/2;
struct Edge{
int from,to;
int cap,flow;
int nex;
}edge[MAXM];
int fir[MAXN],ecnt = 2;
void addedge(int a,int b,int c){
edge[ecnt] = (Edge){a,b,c,0,fir[a]};fir[a] = ecnt++;
edge[ecnt] = (Edge){b,a,0,0,fir[b]};fir[b] = ecnt++;
}
int dis[MAXN];
bool bfs(int s,int t){
static queue<int> q;
memset(dis,0,sizeof(dis));while(!q.empty()) q.pop();
dis[s] = 1;q.push(s);
while(!q.empty()){
int x = q.front();q.pop();
for(int e = fir[x];e;e = edge[e].nex){
int v = edge[e].to;
if(!dis[v] && edge[e].cap > edge[e].flow){
dis[v] = dis[x] + 1;q.push(v);
}
}
}
return dis[t];
}
int dfs(int x,int t,int limit = inf){
if(limit == 0 || x == t) return limit;
int sumf = 0;
for(int e = fir[x];e;e = edge[e].nex){
int v = edge[e].to;
if(dis[v] == dis[x] + 1){
int f = dfs(v,t,min(limit,edge[e].cap - edge[e].flow));
if(f){
sumf += f,limit -= f;
edge[e].flow += f,edge[e^1].flow -= f;
}
if(limit == 0) break;
}
}
return sumf;
}
int dinic(int s,int t){
static int ans = 0;
while(bfs(s,t)) ans += dfs(s,t);
return ans;
}
int n,is_squ[MAXN];
void init(){
scanf("%d",&n);for(int i = 1;i*i < MAXN;i++) is_squ[i*i] = 1;
}
int solve(){
int S = MAXN-1,T = MAXN-2;
for(int i = 1;i<=MAXN;i++){
addedge(S,i,1),addedge(i+N,T,1);
for(int j = 1;j<i;j++){
if(is_squ[i+j]) addedge(j,i+N,1);
}
int ans = i - dinic(S,T);
if(ans > n) return i-1;
}
}
void output(int x){
int S = MAXN-1,T = MAXN-2;
memset(fir,0,sizeof(fir)),ecnt = 2;
for(int i = 1;i<=x;i++){
addedge(S,i,1),addedge(i+N,T,1);
for(int j = i+1;j<=x;j++){
if(is_squ[i+j]) addedge(i,j+N,1);
}
}
dinic(S,T);
static int pre[MAXN],nxt[MAXN];
for(int e = 2;e<=ecnt;e+=2){
int a = edge[e].from,b = edge[e].to,f = edge[e].flow;
if(f == 1 && 1 <= a && a <= x && N+1 <= b && b <= MAXN+x){
pre[b-N] = a,nxt[a] = b-N;
}
}
printf("%d\n",x);
for(int i = 1;i<=x;i++){
if(pre[i] == 0){
for(int t = i;t;t = nxt[t]) printf("%d ",t);
printf("\n");
}
}
}
int main(){
init(),output(solve());
return 0;
}
|