#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define bit(n) (1LL<<(n)) #define sz(x) ((int)(x).size()) #define TEN(n) ((ll)(1e##n)) #define fst first #define snd second string DBG_DLM(int &i){return(i++==0?"":", ");} #define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;} templateostream&operator<<(ostream&os,vectorv); templateostream&operator<<(ostream&os,setv); templateostream&operator<<(ostream&os,queueq); templateostream&operator<<(ostream&os,priority_queueq); templateostream&operator<<(ostream&os,pairp); templateostream&operator<<(ostream&os,mapmp); templateostream&operator<<(ostream&os,unordered_mapmp); templatevoid DBG(ostream&os,TPL t){} templatevoid DBG(ostream&os,TPL t){os<<(I==0?"":", ")<(t);DBG(os,t);} templatevoid DBG(ostream&os,pairp,string delim){os<<"("<ostream&operator<<(ostream&os,tuplet){os<<"(";DBG<0,tuple,Ts...>(os,t);os<<")";return os;} templateostream&operator<<(ostream&os,pairp){DBG(os,p,", ");return os;} templateostream&operator<<(ostream&os,vectorv){DBG_B(forr(t,v){os<ostream&operator<<(ostream&os,sets){DBG_B(forr(t,s){os<ostream&operator<<(ostream&os,queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,priority_queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,mapm){DBG_B(forr(p,m){os<");});} templateostream&operator<<(ostream&os,unordered_mapm){DBG_B(forr(p,m){os<");});} #define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name #define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<;using pll=pair;using pil=pair;using pli=pair; using vs=vector;using vvs=vector;using vvvs=vector; using vb=vector;using vvb=vector;using vvvb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; templatebool amax(A&a,const B&b){return b>a?a=b,1:0;} templatebool amin(A&a,const B&b){return b>l;return l;} string rs(){string s;cin>>s;return s;} vector sieve(int n) { vector flg(n, 1); if (n <= 2) { for (int i = 0; i < n; i++) { flg[i] = false; } return flg; } for (int i = 0; i < min(n, 2); i++) { flg[i] = false; } for (int j = 4; j < n; j += 2) { flg[j] = false; } int lim = int(sqrt(n)) + 1; for (int i = 3; i < lim; i += 2) { if (flg[i]) { for (int j = i * i; j < n; j += i * 2) { flg[j] = 0; } } } return flg; } vb is_prime; int validate(vi &A) { int n = sz(A); int cnt = 0; rep(i, n) rep(j, i) { if (is_prime[A[i] + A[j]]) cnt++; } return cnt; } void Main() { int k = ri(); if (k == 0) { cout << "1\n1\n"; return; } is_prime = sieve(2000000); int mi = 1e9; int x = -1, y = -1; rep(i, 100) rep(j, 100) { int cnt = i*(i-1) / 2 + i * j; if (cnt <= k) { if (amin(mi, k-cnt)) { x = i, y = j; } } } out(mi,x,y); k -= x*(x-1) / 2 + x * y; out(k); vi A; rep(i, x) A.emplace_back(1); rep(i, y) A.emplace_back(2); A.emplace_back(8); rep(i, k) A.emplace_back(23); cout << sz(A) << endl; forr(a, A) cout << a << ' '; cout << endl; /* vi O, E; { int e = 2; rep(i, 150) { E.emplace_back(e); e += 2; } } out(E); map C; for (int o = 3; o < 1000; o += 2) { int cnt = 0; forr(e, E) { if (is_prime[o*o + e]) cnt++; } if (C.count(cnt) == 0) C[cnt] = o; } out(C); while (k) { auto it = C.upper_bound(k); out(*it); it = prev(it); out(k, *it); E.emplace_back(it->snd); k -= it->fst; } out(E); int vali = validate(E); out(vali, sz(E)); */ /* vi O; for (int o = 1001; o <= 1200; o+=2) { O.emplace_back(o); } map C; for (int e = 2; e < 1000; e+=2) { int cnt = 0; forr(o, O) { if (is_prime[o + e]) cnt++; } C[cnt].emplace_back(e); } out(C); out(sz(O)); out(validate(O)); */ } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }