結果
問題 | No.2893 Minahoshi (Hard) |
ユーザー |
👑 ![]() |
提出日時 | 2024-09-13 22:29:39 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 531 ms / 2,000 ms |
コード長 | 15,680 bytes |
コンパイル時間 | 3,134 ms |
コンパイル使用メモリ | 243,220 KB |
最終ジャッジ日時 | 2025-02-24 07:56:21 |
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 49 |
ソースコード
//#define _GLIBCXX_DEBUG//#pragma GCC target("avx2")//#pragma GCC optimize("O3")//#pragma GCC optimize("unroll-loops")#include<bits/stdc++.h>using namespace std;#ifdef LOCAL#include <debug_print.hpp>#define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)#else#define OUT(...) (static_cast<void>(0))#endif#define endl '\n'#define lfs cout<<fixed<<setprecision(15)#define ALL(a) (a).begin(),(a).end()#define ALLR(a) (a).rbegin(),(a).rend()#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())#define spa << " " <<#define fi first#define se second#define MP make_pair#define MT make_tuple#define PB push_back#define EB emplace_back#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)namespace template_tute{using ll = long long;using ld = long double;const ll MOD1 = 1e9+7;const ll MOD9 = 998244353;const ll INF = 1e18;using P = pair<ll, ll>;template<typename T> using PQ = priority_queue<T>;template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}ll median(ll a,ll b, ll c){return a+b+c-max<ll>({a,b,c})-min<ll>({a,b,c});}void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};template<typename T>void debug(const vector<T>&v){debug(v,v.size());}template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << "(" << p.first << "," << p.second << ")";}template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;}template<typename T>void rearrange(vector<int>&ord, vector<T>&v){auto tmp = v;for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];}template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){rearrange(ord, head);rearrange(ord, tail...);}template<typename T> vector<int> ascend(const vector<T>&v){vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i)<make_pair(v[j],j);});return ord;}template<typename T> vector<int> descend(const vector<T>&v){vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);});return ord;}template<typename T> vector<T> inv_perm(const vector<T>&ord){vector<T>inv(ord.size());for(int i=0;i<ord.size();i++)inv[ord[i]] = i;return inv;}ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}ll modulo(ll n,ll d){return (n%d+d)%d;};template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());int popcount(ll x){return __builtin_popcountll(x);};int poplow(ll x){return __builtin_ctzll(x);};int pophigh(ll x){return 63 - __builtin_clzll(x);};template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}std::ostream &operator<<(std::ostream &dest, __int128_t value) {std::ostream::sentry s(dest);if (s) {__uint128_t tmp = value < 0 ? -value : value;char buffer[128];char *d = std::end(buffer);do {--d;*d = "0123456789"[tmp % 10];tmp /= 10;} while (tmp != 0);if (value < 0) {--d;*d = '-';}int len = std::end(buffer) - d;if (dest.rdbuf()->sputn(d, len) != len) {dest.setstate(std::ios_base::badbit);}}return dest;}namespace converter{int dict[500];const string lower="abcdefghijklmnopqrstuvwxyz";const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ";const string digit="0123456789";const string digit1="123456789";void regi_str(const string &t){for(int i=0;i<t.size();i++){dict[t[i]]=i;}}void regi_int(const string &t){for(int i=0;i<t.size();i++){dict[i]=t[i];}}vector<int>to_int(const string &s,const string &t){regi_str(t);vector<int>ret(s.size());for(int i=0;i<s.size();i++){ret[i]=dict[s[i]];}return ret;}vector<int>to_int(const string &s){auto t=s;sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end());return to_int(s,t);}vector<vector<int>>to_int(const vector<string>&s,const string &t){regi_str(t);vector<vector<int>>ret(s.size(),vector<int>(s[0].size()));for(int i=0;i<s.size();i++){for(int j=0;j<s[0].size();j++){ret[i][j]=dict[s[i][j]];}}return ret;}vector<vector<int>>to_int(const vector<string>&s){string t;for(int i=0;i<s.size();i++){t+=s[i];}sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end());return to_int(s,t);}string to_str(const vector<int>&s,const string &t){regi_int(t);string ret;for(auto z:s)ret+=dict[z];return ret;}vector<string> to_str(const vector<vector<int>>&s,const string &t){regi_int(t);vector<string>ret(s.size());for(int i=0;i<s.size();i++){for(auto z:s[i])ret[i]+=dict[z];}return ret;}}template< typename T = int >struct edge {int to;T cost;int id;edge():to(-1),id(-1){};edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}operator int() const { return to; }};template<typename T>using Graph = vector<vector<edge<T>>>;template<typename T>Graph<T>revgraph(const Graph<T> &g){Graph<T>ret(g.size());for(int i=0;i<g.size();i++){for(auto e:g[i]){int to = e.to;e.to = i;ret[to].push_back(e);}}return ret;}template<typename T>Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){Graph<T> ret(n);for(int es = 0; es < m; es++){int u,v;T w=1;cin>>u>>v;u-=indexed,v-=indexed;if(weighted)cin>>w;ret[u].emplace_back(v,w,es);if(!directed)ret[v].emplace_back(u,w,es);}return ret;}template<typename T>Graph<T> readParent(int n,int indexed=1,bool directed=true){Graph<T>ret(n);for(int i=1;i<n;i++){int p;cin>>p;p-=indexed;ret[p].emplace_back(i);if(!directed)ret[i].emplace_back(p);}return ret;}}using namespace template_tute;struct SuffixArray{ll size;string str;vector<ll>data, rank;SuffixArray(string S):size(S.size()),str(S){str += '!';//数列の場合は最小値-1,str[i]を+最小値してからinputに代入,必要なら座圧,kindも調整vector<ll>input(str.size());for(ll i=0;i<str.size();i++)input[i] = str[i];data = induced_sort(input, 200);data.erase(data.begin()); data.push_back(size);str.pop_back();rank.assign(size,0);for(ll i=0;i<size;i++){rank[data[i]] = i;}}vector<ll> induced_sort(vector<ll>t, ll kind){ll sz = t.size();vector<bool>ls(sz);//trueはL型,falseはS型for(ll i = sz-1;i>=0;i--){if(i==sz-1)ls[i] = false;else{if(t[i]!=t[i+1])ls[i] = (t[i] > t[i+1]);else ls[i] = ls[i+1];}}vector<ll>cnt(kind);for(ll i=0;i<sz;i++)cnt[t[i]]++;vector<P>lr(kind,MP(-1,-1));for(ll i=1;i<kind;i++){if(cnt[i]==0)lr[i] = lr[i-1];else lr[i] = make_pair(lr[i-1].se + 1, lr[i-1].se + cnt[i]);}vector<ll>lmsidx,ret(sz,-1);for(ll i=0;i<sz-1;i++){if(ls[i]&&!ls[i+1]){ret[lr[t[i+1]].fi+cnt[t[i+1]]-1]=i+1;cnt[t[i+1]]--;lmsidx.push_back(i+1);}}fill(ALL(cnt),0);for(ll i=0;i<sz;i++){if(ret[i]>=1&&ls[ret[i]-1]){ret[lr[t[ret[i]-1]].fi+cnt[t[ret[i]-1]]]=ret[i]-1;cnt[t[ret[i]-1]]++;if(i!=0&&!ls[ret[i]])ret[i]=-1;}}fill(ALL(cnt),0);for(ll i=sz-1;i>=1;i--){if(ret[i]>=1&&!ls[ret[i]-1]){ret[lr[t[ret[i]-1]].se-cnt[t[ret[i]-1]]]=ret[i]-1;cnt[t[ret[i]-1]]++;}}vector<ll>rev_lmsidx(sz,-1),lmsinput(lmsidx.size(),-1);for(ll i=0;i<lmsidx.size();i++)rev_lmsidx[lmsidx[i]] = i;ll kindnum=1;lmsinput[rev_lmsidx[ret[0]]] = 1;vector<ll>comp(t.begin()+ret[0],t.end());for(ll i=1;i<sz;i++){if(ret[i]>=1&&ls[ret[i]-1]&&!ls[ret[i]]){vector<ll>tmp(t.begin()+ret[i],t.begin()+lmsidx[rev_lmsidx[ret[i]]+1]+1);if(comp != tmp){kindnum++;comp = tmp;}lmsinput[rev_lmsidx[ret[i]]] = kindnum;}}vector<ll>output;if(kindnum==lmsidx.size()){output.assign(kindnum,-1);for(ll i=0;i<lmsinput.size();i++)output[lmsinput[i]-1]=i;}else output = induced_sort(lmsinput,kindnum+1);fill(ALL(cnt),0), fill(ALL(ret),-1);for(ll i=output.size()-1;i>=0;i--){ll tmp=lmsidx[output[i]];ret[lr[t[tmp]].se - cnt[t[tmp]]]=tmp;cnt[t[tmp]]++;}fill(ALL(cnt),0);for(ll i=0;i<sz;i++){if(ret[i]>=1&&ls[ret[i]-1]){ret[lr[t[ret[i]-1]].fi+cnt[t[ret[i]-1]]]=ret[i]-1;cnt[t[ret[i]-1]]++;if(i!=0&&!ls[ret[i]])ret[i]=-1;}}fill(ALL(cnt),0);for(ll i=sz-1;i>=1;i--){if(ret[i]>=1&&!ls[ret[i]-1]){ret[lr[t[ret[i]-1]].se-cnt[t[ret[i]-1]]]=ret[i]-1;cnt[t[ret[i]-1]]++;}}return ret;}ll operator[](ll x) const {return data[x];}ll lower_bound(string x){ll le=-1,ri=str.size();while(ri-le>=2){ll mid=(le+ri)/2;ll cnt=0;while(cnt<x.size()&&data[mid]+cnt<str.size()&&x[cnt]==str[data[mid]+cnt])cnt++;if(cnt==x.size())ri=mid;else if(data[mid]+cnt==str.size())le=mid;else if(x[cnt]<=str[data[mid]+cnt])ri=mid;else le=mid;}return ri;}ll upper_bound(string x){x.back()++;return lower_bound(x);}vector<ll> lcp(){vector<ll>ret(size);for(ll i=0,h=0;i<size;i++){if(rank[i]==0)continue;for(ll j=data[rank[i]-1];max(i,j)+h<size&&str[i+h]==str[j+h];h++);ret[rank[i]-1] = h;if(h>0) h--;}return ret;}};string get(int n){// https://contest.ucup.ac/submission/297206if (n == 1) {return "1";}if (n == 2) {return "01";}if (n == 3) {return "010";}int k = 0;while ((1 << k) + k - 1 <= n) {k += 1;}k -= 1;int mx = (1 << k) - 1;map<int, bool> was;vector<int> order;function<void(int)> Dfs = [&](int x) {x = (x & mx);if (was[x]) {return;}was[x] = true;order.push_back(x);Dfs(x << 1 | 1);Dfs(x << 1);};Dfs(0);string ret;if (n == (1 << k) + k - 1) {for (int i = 0; i + 1 < k; i++) {ret+="0";}for (int i : order) {ret+=(i % 2) + '0';}return ret;}int sz = (int) order.size();for (int i = 0; i < sz; i++) {order[i] = order[i] * 2;if (i + 1 < sz) {order[i] |= (order[i + 1] % 2);}}map<int, int> go;for (int i = 0; i < sz; i++) {go[order[i]] = order[(i + 1) % sz];}for (int i = 0; i < (1 << (k + 1)); i++) {if (!go.count(i)) {go[i] = go[i ^ (1 << k)] ^ 1;}}Dfs = [&](int x) {if (was[x]) {return;}was[x] = true;order.push_back(x);Dfs(go[x]);};was.clear();for (int i : order) {was[i] = true;}for (int i = 1; i < (1 << (k + 1)); i++) {if (was[i]) {continue;}Dfs(i);swap(go[i], go[i ^ (1 << k)]);if (n <= (int) order.size() + k) {int f = go[i];for (int b = k; b > 0; b--) {ret += (f >> b & 1) + '0';}for (int i = 0; i < n - k; i++) {ret += (f % 2) + '0';f = go[f];}return ret;}}return ret;}void solve(){ll res=0,buf=0;bool judge = true;ll n;cin>>n;string s= get(n);string tmp;for(auto c:s){if(c=='0')tmp+="a";else tmp+="b";}cout<<tmp<<endl;SuffixArray sa(s);auto lcp = sa.lcp();OUT(acc(lcp));}int main(){cin.tie(nullptr);ios_base::sync_with_stdio(false);ll res=0,buf=0;bool judge = true;int T = 1;cin>>T;while(T--){solve();}return 0;}