제출 #1122883

#제출 시각아이디문제언어결과실행 시간메모리
1122883AldkBoarding Passes (BOI22_passes)C++20
5 / 100
222 ms402328 KiB
#include<bits/stdc++.h> #define pb push_back #define pf push_front //#define mp make_pair #define F first #define S second #define ff first #define ss second #define str string #define ll long long #define ull unsigned ll #define ld long double #define pll pair<ll,ll> #define plll pair<pll,ll> #define pllll pair<pll,pll> #define pii pair<int,int> #define pld pair<ld,ld> #define vl vector<ll> #define vll vector<pll> #define vlll vector<plll> #define vllll vector<pllll> #define vb vector<bool> #define vi vector<int> #define vii vector<pii> #define sz(x) (ll)(x).size() #define fr front() #define tp top() #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define bk back(); #pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC optimize("Ofast,unroll-loops,fast-math,O3") using namespace std; const ld pi=acos(-1.0); const ll e5=1e5; const ll e6=1e6; const ll e9=1e9; const ll inf=1e18; const ll mod=1e9+7; const ll mod2=998244353; const ll MOD=106710087877475399; const ll N=2e5+10; const ll M=1e6+10; const ld eps=1e-9; mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()); ll bpm(ll x,ll y,ll m){if(y==0)return 1%m;ll p=bpm(x,y/2,m); if(y%2==0)return p*p%m;else return p*p%m*x%m;} ll bp(ll x,ll y){if(y==0)return 1;ll p=bp(x,y/2); if(y%2==0)return p*p;else return p*p*x;} ll n,g,a[N]; str s; ll pr[N][16][16],sf[N][16][16]; ll dp[N]; bool u[20]; void solve(){ cin>>s; n=sz(s); s=' '+s; vector<char> v; for(ll i=1;i<=n;i++) v.pb(s[i]); sort(all(v)); v.erase(unique(all(v)),v.end()); g=sz(v); map<char,ll> mp; for(ll i=0;i<g;i++) mp[v[i]]=i; for(ll i=1;i<=n;i++) a[i]=mp[s[i]]; for(ll x=0;x<g;x++){ for(ll y=0;y<g;y++){ for(ll i=1,s=0;i<=n;i++){ pr[i][x][y]=pr[i-1][x][y]; if(a[i]==x) pr[i][x][y]+=s; if(a[i]==y) s++; } for(ll i=n,s=0;i>=1;i--){ sf[i][x][y]=sf[i+1][x][y]; if(a[i]==x) sf[i][x][y]+=s; if(a[i]==y) s++; //if(x==1&&y==2) cout<<i<<' '<<sf[i][x][y]<<'\n'; } } } for(ll m=1;m<(1<<g);m++){ dp[m]=inf; for(ll i=0;i<g;i++){ if((m>>i&1)==0) continue; ll l=0,r=n,md; while(l<r){ md=(l+r+1)/2; ll s1=0,s2=0; for(ll j=0;j<g;j++){ if(m>>j&1){ if(j!=i) s1+=pr[md][i][j]*2ll, s2+=sf[md+1][i][j]*2ll; else s1+=pr[md][i][j], s2+=sf[md+1][i][j]; } } if(s1<s2) l=md; else r=md-1; } ll s1=0,s2=0; for(ll j=0;j<g;j++){ if(m>>j&1){ if(j!=i){ s1+=(pr[l][i][j]+sf[l+1][i][j])*2ll; s2+=(pr[l+1][i][j]+sf[l+2][i][j])*2ll; }else{ s1+=pr[l][i][j]+sf[l+1][i][j]; s2+=pr[l+1][i][j]+sf[l+2][i][j]; } } } //if(m==3) cout<<l<<' '<<s1<<' '<<s2<<'\n'; s1=min(s1,s2); dp[m]=min(dp[m],dp[m-(1<<i)]+s1); } //cout<<m<<' '<<dp[m]<<'\n'; } cout<<(ld)dp[(1<<g)-1]/2; return; } int main(/*Aldk*/){ ios_base::sync_with_stdio(false); cin.tie(NULL); //freopen("01.in", "r", stdin); //freopen("01.out ", "w", stdout); cout<<setprecision(6)<<fixed; int test=1; //cin>>test; for(int i=1;i<=test;i++){ solve(); cout<<'\n'; } return 0; }
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