結果

問題 No.1804 Intersection of LIS
ユーザー smiken_61
提出日時 2022-02-13 21:37:03
言語 C++11(廃止可能性あり)
(gcc 13.3.0)
結果
AC  
実行時間 84 ms / 2,000 ms
コード長 9,448 bytes
コンパイル時間 1,410 ms
コンパイル使用メモリ 174,452 KB
実行使用メモリ 27,068 KB
最終ジャッジ日時 2024-06-29 05:48:09
合計ジャッジ時間 5,049 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 37
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘std::vector<long long int> LIS_strict_fukugen(std::vector<long long int>)’:
main.cpp:380:46: warning: ‘ima’ may be used uninitialized in this function [-Wmaybe-uninitialized]
  380 |                 if(W[i]==nx && (nx==lis_size || ima<A[i])){
      |                                ~~~~~~~~~~~~~~^~~~~~~~~~~~

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
// #include <atcoder/all>
// using namespace atcoder;
// tabaicho see https://boostjp.github.io/tips/multiprec-int.html
// #include <boost/multiprecision/cpp_int.hpp>
// using namespace boost::multiprecision;
// cpp_int
// int128_t
// int256_t
// int512_t
// int1024_t
// uint128_t
// uint256_t
// uint512_t
// uint1024_t
#define int long long
#define inf 1000000007
// #define inf 998244353
#define pa pair<int,int>
#define ppa pair<pa,pa>
#define ll long long
#define PI 3.14159265358979323846
#define mp make_pair
#define pb push_back
#define EPS (1e-8)
using namespace std;
int dx[8]={0,1,0,-1,1,1,-1,-1};
int dy[8]={1,0,-1,0,-1,1,1,-1};
class pa3{
public:
int x;
int y,z;
pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
bool operator < (const pa3 &p) const{
if(x!=p.x) return x<p.x;
if(y!=p.y) return y<p.y;
return z<p.z;
//return x != p.x ? x<p.x: y<p.y;
}
bool operator > (const pa3 &p) const{
if(x!=p.x) return x>p.x;
if(y!=p.y) return y>p.y;
return z>p.z;
//return x != p.x ? x<p.x: y<p.y;
}
bool operator == (const pa3 &p) const{
return x==p.x && y==p.y && z==p.z;
}
bool operator != (const pa3 &p) const{
return !( x==p.x && y==p.y && z==p.z);
}
};
class pa4{
public:
int x;
int y,z,w;
pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
bool operator < (const pa4 &p) const{
if(x!=p.x) return x<p.x;
if(y!=p.y) return y<p.y;
if(z!=p.z)return z<p.z;
return w<p.w;
//return x != p.x ? x<p.x: y<p.y;
}
bool operator > (const pa4 &p) const{
if(x!=p.x) return x>p.x;
if(y!=p.y) return y>p.y;
if(z!=p.z)return z>p.z;
return w>p.w;
//return x != p.x ? x<p.x: y<p.y;
}
bool operator == (const pa4 &p) const{
return x==p.x && y==p.y && z==p.z &&w==p.w;
}
};
class pa2{
public:
int x,y;
pa2(int x=0,int y=0):x(x),y(y) {}
pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
bool operator < (const pa2 &p) const{
return y != p.y ? y<p.y: x<p.x;
}
bool operator > (const pa2 &p) const{
return x != p.x ? x<p.x: y<p.y;
}
bool operator == (const pa2 &p) const{
return abs(x-p.x)==0 && abs(y-p.y)==0;
}
bool operator != (const pa2 &p) const{
return !(abs(x-p.x)==0 && abs(y-p.y)==0);
}
};
string itos( int i ) {
ostringstream s ;
s << i ;
return s.str() ;
}
int Gcd(int v,int b){
if(v==0) return b;
if(b==0) return v;
if(v>b) return Gcd(b,v);
if(v==b) return b;
if(b%v==0) return v;
return Gcd(v,b%v);
}
int extgcd(int a, int b, int &x, int &y) {
if (b == 0) {
x = 1;
y = 0;
return a;
}
int d = extgcd(b, a%b, y, x);
y -= a/b * x;
return d;
}
pa operator+(const pa & l,const pa & r) {
return {l.first+r.first,l.second+r.second};
}
pa operator-(const pa & l,const pa & r) {
return {l.first-r.first,l.second-r.second};
}
pair<double,double> operator-(const pair<double,double> & l,const pair<double,double> & r) {
return {l.first-r.first,l.second-r.second};
}
ostream& operator<<(ostream& os, const vector<int>& VEC){
for(auto v:VEC)os<<v<<" ";
return os;
}
ostream& operator<<(ostream& os, const pair<double,double>& PAI){
os<<PAI.first<<" : "<<PAI.second;
return os;
}
ostream& operator<<(ostream& os, const pa& PAI){
os<<PAI.first<<" : "<<PAI.second;
return os;
}
ostream& operator<<(ostream& os, const pa3& PAI){
os<<PAI.x<<" : "<<PAI.y<<" : "<<PAI.z;
return os;
}
ostream& operator<<(ostream& os, const pa4& PAI){
os<<PAI.x<<" : "<<PAI.y<<" : "<<PAI.z<<" : "<<PAI.w;
return os;
}
ostream& operator<<(ostream& os, const vector<pa>& VEC){
for(auto v:VEC)os<<v<<" ";
return os;
}
ostream& operator<<(ostream& os, const vector<pa3>& VEC){
for(auto v:VEC){
os<<v<<" ";
os<<endl;
}
return os;
}
int beki(int wa,ll rr,int warukazu){
if(rr==0) return 1%warukazu;
if(rr==1) return wa%warukazu;
wa%=warukazu;
if(rr%2==1) return ((ll)beki(wa,rr-1,warukazu)*(ll)wa)%warukazu;
ll zx=beki(wa,rr/2,warukazu);
return (zx*zx)%warukazu;
}
int pr[2500002];
int inv[2500002];
const int mod=998244353;
int comb(int nn,int rr){
if(nn==-1&&rr==-1)return 1;
if(rr<0 || rr>nn || nn<0) return 0;
int r=pr[nn]*inv[rr];
r%=mod;
r*=inv[nn-rr];
r%=mod;
return r;
}
void gya(int ert){
pr[0]=1;
for(int i=1;i<=ert;i++){
pr[i]=((ll)pr[i-1]*i)%mod;
}
inv[ert]=beki(pr[ert],mod-2,mod);
for(int i=ert-1;i>=0;i--){
inv[i]=(ll)inv[i+1]*(i+1)%mod;
}
}
int beki(int a,int b){
int ANS=1;
int be=a%mod;
while(b){
if(b&1){
ANS*=be;
ANS%=mod;
}
be*=be;
be%=mod;
b/=2;
}
return ANS;
}
// cin.tie(0);
// ios::sync_with_stdio(false);
//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;
//sort(ve.begin(),ve.end(),greater<int>());
// mt19937(clock_per_sec);
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ;
// a,b,c : positive int a*b<=c <=> a<=c/b
// auto dfs=[&](auto &&self,int r,int p)->int{
// };
class Point{
public:
double x,y;
Point(double x=0,double y=0):x(x),y(y) {}
Point operator + (Point p) {return Point(x+p.x,y+p.y);}
Point operator - (Point p) {return Point(x-p.x,y-p.y);}
Point operator * (double a) {return Point(x*a,y*a);}
Point operator / (double a) {return Point(x/a,y/a);}
double absv() {return sqrt(norm());}
double norm() {return x*x+y*y;}
bool operator < (const Point &p) const{
return x != p.x ? x<p.x: y<p.y;
}
bool operator == (const Point &p) const{
return fabs(x-p.x)<EPS && fabs(y-p.y)<EPS;
}
};
class Line{
public:
// y=ax+b
double a;
double b;
Line(double a=0,double b=0):a(a),b(b) {}
double eval(double x){return a*x+b;}
bool operator < (const Line &p) const{
return abs(a-p.a)>EPS ? a<p.a: b<p.b;
}
};
Point intersect_line(Line A,Line B){
double x=(B.b-A.b)/(A.a-B.a);
return Point(x,A.eval(x));
}
Line line_from_2_Point(Point A,Point B){
// line which through A,B
double a=(B.y-A.y)/(B.x-A.x);
return Line(a,A.y-a*A.x);
}
struct unionfind{
private:
public:
vector<int> par,ranks,kosuu;
void shoki(int N){
par.resize(N+1,0);
ranks.resize(N+1,0);
kosuu.resize(N+1,1);
for(int i=0;i<=N;i++){
par[i]=i;
}
}
int root(int x){
return par[x]==x ? x : par[x]=root(par[x]);
}
bool same(int x,int y){
return root(x)==root(y);
}
bool is_root(int x){
return x==root(x);
}
void unite(int x,int y){
x=root(x);
y=root(y);
int xx=kosuu[x],yy=kosuu[y];
if(x==y) return;
if(ranks[x]<ranks[y]){
par[x]=y;
kosuu[y]=yy+xx;
}
else {
par[y]=x;
if(ranks[x]==ranks[y]) ranks[x]=ranks[x]+1;
kosuu[x]=yy+xx;
}
return;
}
};
vector<int> LIS_strict_fukugen(vector<int>A){
int n=A.size();
vector<int>B=A;
reverse(B.begin(),B.end());
for(auto &v:B)v*=-1;
vector<int>t;
int sz=0;
vector<int>W(n); //W_i is max lis size of [A_i,...,A_{n-1}]
int lis_size=-1;
for(int i=0;i<n;i++){
int v=B[i];
int r=lower_bound(t.begin(),t.end(),v)-t.begin();
if(r>=sz)t.pb(0),sz++;
t[r]=v;
W[n-1-i]=r+1;
lis_size=max(lis_size,r+1);
}
vector<int>ans;
int nx=lis_size;
int ima;
for(int i=0;i<n;i++){
if(W[i]==nx && (nx==lis_size || ima<A[i])){
ans.pb(i);
ima=A[i];
nx--;
}
}
return ans;
}
void solve(){
int n;
cin>>n;
vector<int>A(n),B;
for(int i=0;i<n;i++)cin>>A[i];
B=A;
reverse(B.begin(),B.end());
for(auto &v:B)v*=-1;
auto S= LIS_strict_fukugen(A);
auto T= LIS_strict_fukugen(B);
for(auto &v:T)v=n-1-v;
reverse(T.begin(),T.end());
//cout<<S<<endl<<T<<endl;
vector<int>ans;
int s=T.size();
for(int i=0;i<s;i++){
if(S[i]==T[i])ans.pb(A[S[i]]);
}
cout<<ans.size()<<endl;
cout<<ans<<endl;
}
signed main(){
//mod=inf;
cin.tie(0);
ios::sync_with_stdio(false);
int n=1;
//cin>>n;
for(int i=0;i<n;i++)solve();
return 0;
}
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