Submission #522503

#TimeUsernameProblemLanguageResultExecution timeMemory
522503byunjaewooAliens (IOI16_aliens)C++17
0 / 100
1 ms332 KiB
#include <bits/stdc++.h> #define x first #define y second using namespace std; using ll=long long; using ld=long double; using pp=pair<ll, ll>; const int Nmax=100010; ll N, NN, M, K, DP[Nmax], C[Nmax]; pp A[Nmax], B[Nmax]; struct line { ll a, b; int idx; ll f(ll x) {return a*x+b;} ld cross(line r) {return (b-r.b)/(r.a-a);} }L[Nmax]; void Dynamic(ll v) { int fr=1, re=0; fill(C+1, C+N+1, 0); for(int i=1; i<=N; i++) { line tmp={-2*A[i].x, DP[i-1]+A[i].x*A[i].x-2*A[i].x, i}; while(fr<re && L[re-1].cross(tmp)<=L[re-1].cross(L[re])) re--; L[++re]=tmp; while(fr<re && L[fr].cross(L[fr+1])<A[i].y) fr++; DP[i]=L[fr].f(A[i].y)+A[i].y*A[i].y+v+2*A[i].y+1; C[i]=C[L[fr].idx-1]+1; } } ll take_photos(int n, int m, int k, std::vector<int> r, std::vector<int> c) { NN=n, M=m, K=k; for(int i=1; i<=NN; i++) { B[i].x=min(r[i-1], c[i-1]), B[i].y=max(r[i-1], c[i-1]); } sort(B+1, B+NN+1, [](pp a, pp b) { return a.x!=b.x?a.x<b.x:a.y>b.y; }); for(int i=1; i<=NN; i++) { if(N && B[i].y<=A[N].y) continue; while(N && A[N].y>=B[i].y) N--; A[++N]=B[i]; } K=min(K, N); { ll l=0, r=N+1, lv, rv; for(ll s=0, e=M*M; s<=e;) { ll mid=(s+e)/2; Dynamic(mid); if(C[N]==K) return DP[N]-mid*C[N]; else if(C[N]>K) { s=mid+1; if(r>C[N]) r=C[N], rv=DP[N]-mid*C[N]; } else { e=mid-1; if(l<C[N]) l=C[N], lv=DP[N]-mid*C[N]; } } return -1; return rv+(lv-rv)/(r-l)*(r-K); } }
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