Submission #764707

#TimeUsernameProblemLanguageResultExecution timeMemory
764707Valters07Aliens (IOI16_aliens)C++14
4 / 100
2070 ms340 KiB
#include <bits/stdc++.h> #include "aliens.h" #pragma GCC optimize("O3,unroll-loops") #pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt") #define fio ios_base::sync_with_stdio(0);cin.tie(0); #define ll long long #define ld long double #define en cin.close();return 0; #define pb push_back #define fi first//printf("%lli\n",cur); #define se second//scanf("%lli",&n); using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); struct node { ld x, a, b; ll k; }; deque<node> hull; void clean(vector<pair<ld,ld> > &seg) { sort(seg.begin(),seg.end(),[](auto &i, auto &j) { if(i.fi==j.fi) return (i.se>j.se); return (i.fi<j.fi); }); vector<pair<ld,ld> > tmp; ld r = 0; for(auto x:seg) { if(x.se>r) tmp.pb(x); r=max(r,x.se); } swap(seg,tmp); } ld getval(ld x, ld a, ld b) { return x*a+b; } ld inters(ld a1, ld b1, ld a2, ld b2) { return (b1-b2)/(a2-a1); } void addline(ld a, ld b, ll k) { while(!hull.empty()) { auto t = hull.back(); if(getval(t.x,a,b)>getval(t.x,t.a,t.b)) { if(t.a-a) hull.pb({inters(t.a,t.b,a,b),a,b,k}); return; } hull.pop_back(); } hull.pb({-2e9,a,b,k}); } pair<ld,int> getmax(ld x) { while(hull.size()>1&&hull[1].x<=x) hull.pop_front(); auto t = hull[0]; return {getval(x,t.a,t.b),t.k}; } ll take_photos(int n, int m, int k, vector<int> row, vector<int> col) { vector<pair<ld,ld> > seg(n); for(int i = 0;i<n;i++) { if(row[i]>col[i]) swap(row[i],col[i]); seg[i]={row[i]+1,col[i]+1}; } clean(seg); n=seg.size(); k=min(k,n); ld coll[n]; coll[0]=0; for(int i = 1,t;i<n;i++) t=max((ld)0,seg[i-1].se-seg[i].fi+1), coll[i]=t*t; ld l = 0, r = m*m; vector<ld> dp(n+1), kc(n+1); while(kc[n]!=k) { ld mid = (l+r)/2; for(int i = 0;i<n;i++) { ld l = seg[i].fi, r = seg[i].se; addline(-2*l,dp[i]-coll[i]+l*(l-2),kc[i]+1); auto t = getmax(r); dp[i+1]=t.fi+r*(r+2)+1+mid; kc[i+1]=t.se; } if(kc[n]>k) l=mid; else r=mid; hull.clear(); } return round(dp[n]-kc[n]*r); }
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