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제출 #1122168

#제출 시각아이디문제언어결과실행 시간메모리
1122168vjudge1Boarding Passes (BOI22_passes)C++17
100 / 100
417 ms52528 KiB
// Bolatulu #include <bits/stdc++.h> // #include <art.h> /* #pragma GCC target ("avx2") #pragma GCC optimization ("O3") #pragma GCC optimization ("unroll-loops") */ typedef long long ll; typedef unsigned long long ull; typedef double db; #define pb push_back #define eb emplace_back #define ins insert #define F first #define S second #define md (tl+tr)/2 #define TL v+v,tl,md #define TR v+v+1,md+1,tr #define Tl t[v].l,tl,md #define Tr t[v].r,md+1,tr #define all(x) (x).begin(),(x).end() #define yes cout << "YES\n" #define no cout << "NO\n" #define int long long // #define file(s) freopen(s".in", "r", stdin); freopen(s".out", "w", stdout); using namespace std; int binpow(int a,int n,int M) { if (n==0) return 1; if (n%2!=0) return (a * binpow(a,n-1,M))%M; int z=binpow(a,n/2,M); return (z*z)%M; } const ll INF = 1e18+7; const int N = 1e5+7; string s; int n,dp[N],g,pref[16][16][N],suf[16][16][N],sz[16],L[N],R[N]; vector <int> d[N],bits[N]; int calc(int x,int mask,int b) { int res=0; for (auto i : bits[mask]) { if (x>=0) res+=pref[b][i][x]; if (x+1<sz[b]) res+=suf[b][i][x+1]; } return res; } void solve() { cin >> s; n=s.size(); s=" "+s; for (int i=1;i<=n;i++) { g=max(g,(int)(s[i]-'A'+1)); d[s[i]-'A'].pb(i); } for (int i=0;i<g;i++) sz[i]=d[i].size(); for (int i=0;i<g;i++) { for (int j=0;j<g;j++) { for (int k=0;k<sz[i];k++) { int l=-1,r=sz[j]; while (l+1<r) { int mid=(l+r)/2; if (d[j][mid]<d[i][k]) l=mid; else r=mid; } if (i!=j) L[k]=(l+1)*2, R[k]=(sz[j]-r)*2; else L[k]=k, R[k]=sz[i]-k-1; if (k>0) pref[i][j][k]=pref[i][j][k-1]; pref[i][j][k]+=L[k]; } for (int k=sz[i]-1;k>=0;k--) { if (k+1<sz[i]) suf[i][j][k]=suf[i][j][k+1]; suf[i][j][k]+=R[k]; } } } for (int mask=1;mask<(1<<g);mask++) { dp[mask]=INF; for (int i=0;i<g;i++) { if (mask>>i&1) bits[mask].pb(i); } for (auto i : bits[mask]) { int l=-1,r=sz[i]-1; while (l+2<r) { int m1=l+(r-l)/3, m2=r-(r-l)/3; if (calc(m1,mask,i)<=calc(m2,mask,i)) r=m2; else l=m1; } int val=INF; for (int j=l;j<=r;j++) val=min(val,calc(j,mask,i)); dp[mask]=min(dp[mask],dp[mask^(1<<i)]+val); } } cout << setprecision(1) << fixed << dp[(1<<g)-1]*0.5; } signed main() { // file("jenga"); ios_base::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr); int test = 1; // cin >> test; while (test--) { solve(); if (test) cout << '\n'; } return 0; }
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