제출 #347655

#제출 시각아이디문제언어결과실행 시간메모리
347655KerimAliens (IOI16_aliens)C++17
25 / 100
2063 ms620 KiB
#include "aliens.h" #include "bits/stdc++.h" #define MAXN 100009 #define INF 1000000007 #define mp(x,y) make_pair(x,y) #define all(v) v.begin(),v.end() #define pb(x) push_back(x) #define wr cout<<"----------------"<<endl; #define ppb() pop_back() #define tr(ii,c) for(__typeof((c).begin()) ii=(c).begin();ii!=(c).end();ii++) #define ff first #define ss second #define my_little_dodge 46 #define debug(x) cerr<< #x <<" = "<< x<<endl; using namespace std; typedef long long ll; typedef pair<int,int> PII; template<class T>bool umin(T& a,T b){if(a>b){a=b;return 1;}return 0;} template<class T>bool umax(T& a,T b){if(a<b){a=b;return 1;}return 0;} bool cmp(PII x,PII y){ if(x.ff!=y.ff) return (x.ff<y.ff); return (x.ss>y.ss); } ll sqr(int x){ return x*1LL*x; } const ll B=1e18; ll dp[MAXN]; vector<ll>m,b; int sz; double inter(int l1,int l2){ return (b[l2]-b[l1])/(m[l1]-m[l2]); } bool bad(int l1,int l2,int l3){ return inter(l1,l3)<inter(l1,l2); } void upd(ll x,ll y){ m.pb(x);b.pb(y);sz++; while(sz>=3 and bad(sz-3,sz-2,sz-1)){ m.erase(m.end()-2); b.erase(b.end()-2); sz--; } } ll get(ll x){ ll ans=B; for(int i=0;i<sz;i++) umin(ans,m[i]*x+b[i]); return ans; } ll take_photos(int n, int M, int k, vector<int> r, vector<int> c) { vector<PII>arr,v; for(int i=0;i<n;i++) v.pb(mp(min(r[i],c[i]),max(r[i],c[i]))); sort(all(v),cmp);arr.pb(mp(-1,-1)); for(int i=0;i<int(v.size());i++) if(arr.back().ss<v[i].ss) arr.pb(v[i]); n=int(arr.size())-1; for(int i=1;i<=n;i++) dp[i]=B; ll ans=B; for(int i=1;i<=k;i++){ m.clear();b.clear();sz=0; for(int j=0,h;j<=n;j++){ ll old=dp[j]; dp[j]=min(B,get(2*arr[j].ss)+sqr(arr[j].ss)); if(j<n) h=j,upd(-(arr[h+1].ff-1),sqr(arr[h+1].ff-1)+old-sqr(max(0,arr[h].ss-arr[h+1].ff+1))); } /* for(int j=n;j>=0;j--){ dp[j]=B; for(int h=0;h<j;h++) umin(dp[j],dp[h]+sqr(arr[j].ss-(arr[h+1].ff-1))-sqr(max(0,arr[h].ss-arr[h+1].ff+1))); }*/ umin(ans,dp[n]); } return ans; } //(x-y)(x-y)=x^2-2*x*y+y^2
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