結果

問題 No.705 ゴミ拾い Hard
ユーザー 👑 tute7627tute7627
提出日時 2021-12-31 06:40:06
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 266 ms / 1,500 ms
コード長 8,987 bytes
コンパイル時間 2,680 ms
コンパイル使用メモリ 213,672 KB
実行使用メモリ 17,692 KB
最終ジャッジ日時 2024-10-07 15:04:03
合計ジャッジ時間 9,540 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,820 KB
testcase_01 AC 2 ms
6,816 KB
testcase_02 AC 2 ms
6,816 KB
testcase_03 AC 2 ms
6,816 KB
testcase_04 AC 2 ms
6,816 KB
testcase_05 AC 2 ms
6,820 KB
testcase_06 AC 2 ms
6,816 KB
testcase_07 AC 2 ms
6,820 KB
testcase_08 AC 2 ms
6,820 KB
testcase_09 AC 2 ms
6,820 KB
testcase_10 AC 2 ms
6,816 KB
testcase_11 AC 2 ms
6,820 KB
testcase_12 AC 2 ms
6,820 KB
testcase_13 AC 2 ms
6,816 KB
testcase_14 AC 3 ms
6,816 KB
testcase_15 AC 2 ms
6,820 KB
testcase_16 AC 2 ms
6,816 KB
testcase_17 AC 3 ms
6,820 KB
testcase_18 AC 3 ms
6,816 KB
testcase_19 AC 3 ms
6,816 KB
testcase_20 AC 2 ms
6,816 KB
testcase_21 AC 3 ms
6,816 KB
testcase_22 AC 3 ms
6,820 KB
testcase_23 AC 3 ms
6,816 KB
testcase_24 AC 265 ms
17,236 KB
testcase_25 AC 265 ms
17,312 KB
testcase_26 AC 266 ms
17,248 KB
testcase_27 AC 265 ms
17,296 KB
testcase_28 AC 263 ms
17,304 KB
testcase_29 AC 264 ms
17,356 KB
testcase_30 AC 265 ms
17,284 KB
testcase_31 AC 264 ms
17,432 KB
testcase_32 AC 261 ms
17,408 KB
testcase_33 AC 185 ms
17,300 KB
testcase_34 AC 188 ms
17,308 KB
testcase_35 AC 262 ms
17,692 KB
testcase_36 AC 259 ms
17,408 KB
testcase_37 AC 259 ms
17,568 KB
testcase_38 AC 259 ms
17,352 KB
testcase_39 AC 250 ms
17,208 KB
testcase_40 AC 2 ms
6,816 KB
testcase_41 AC 2 ms
6,820 KB
testcase_42 AC 2 ms
6,816 KB
testcase_43 AC 249 ms
17,248 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]<v[j];});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];});
  return ord;
}
ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
ll modulo(ll n,ll d){return (n%d+d)%d;};
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}
ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}
ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}

template<typename T, typename F>
vector<pair<int,T>>monotone_minima(int h, int w,const F &f){
	vector<pair<int,T>>ret(h);
	auto dc=[&](auto &&self,int xl,int xr,int yl,int yr)->void{
		if(xl >= xr)return;
		int mid = (xl + xr) / 2;
		ret[mid].first = -1;
		for(int y = yl; y < yr; y++){
			T val = f(mid,y);
			if(ret[mid].first == -1 || ret[mid].second > val){
				ret[mid] = make_pair(y,val);
			}
		}
		self(self,xl,mid,yl,ret[mid].first+1);
		self(self,mid+1,xr,ret[mid].first,yr);
	};
	dc(dc,0,h,0,w);
	return ret;
}

template<typename T, typename F>
vector<pair<int,T>>smawk(int h, int w,const F &f){
	vector<pair<int,T>>ret(h);
	auto rec=[&](auto &&self,const vector<int>&row,const vector<int>&col)->void{
		if(row.empty())return;
		vector<int>nr,nc;
		for(int i = 1; i < row.size(); i += 2){
			nr.push_back(row[i]);
		}
		for(auto c:col){
			while(!nc.empty() && f(row[nc.size()-1],nc.back()) >= f(row[nc.size()-1],c)){
				nc.pop_back();
			}
			if(nc.size() < row.size()){
				nc.push_back(c);
			}
		}
		self(self,nr,nc);
		int idx = 0;
		for(int i = 0; i < row.size(); i += 2){
			int lim = nc.back();
			if(i + 1 < row.size())lim = ret[row[i + 1]].first;
			ret[row[i]].first = -1;
			while(1){
				T val = f(row[i], nc[idx]);
				if(ret[row[i]].first == -1 || ret[row[i]].second > val){
					ret[row[i]] = make_pair(nc[idx], val);
				}
				if(nc[idx]==lim)break;
				idx++;
			}
		}
	};
	vector<int>row(h),col(w);
	iota(row.begin(),row.end(),0);
	iota(col.begin(),col.end(),0);
	rec(rec,row,col);
	return ret;
}


int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
	ll n;cin>>n;
	vector<ll>a(n),x(n),y(n);
	rep(i,0,n)cin>>a[i];
	rep(i,0,n)cin>>x[i];
	rep(i,0,n)cin>>y[i];
	vector<ll>dp(n+1,INF);
	dp[0]=0;
	auto th=[&](ll k){
		return k*k*k;
	};
	auto rec=[&](auto &&f,ll l,ll r)->void{
		if(r-l<=1)return;
		ll m=(l+r)/2;
		f(f,l,m);
		auto cost=[&](ll to,ll from){
			from+=l,to+=m;
			return dp[from]+th(abs(a[to-1]-x[from]))+th(y[from]);
		};
		auto minima=smawk<ll>(r-m,m-l,cost);
		//auto minima=monotone_minima<ll>(r-m,m-l,cost);
		rep(i,m,r)chmin(dp[i],minima[i-m].se);
		f(f,m,r);
	};
	rec(rec,0,n+1);
	cout<<dp[n]<<endl;
  return 0;
}
0