結果

問題 No.1117 数列分割
ユーザー 👑 tute7627tute7627
提出日時 2020-07-17 22:42:06
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 511 ms / 3,000 ms
コード長 6,111 bytes
コンパイル時間 2,399 ms
コンパイル使用メモリ 217,192 KB
実行使用メモリ 74,128 KB
最終ジャッジ日時 2023-08-20 03:54:58
合計ジャッジ時間 8,222 ms
ジャッジサーバーID
(参考情報)
judge11 / judge12
このコードへのチャレンジ(β)

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 1 ms
4,380 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 2 ms
4,376 KB
testcase_03 AC 35 ms
8,540 KB
testcase_04 AC 29 ms
8,196 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 24 ms
7,588 KB
testcase_09 AC 8 ms
4,536 KB
testcase_10 AC 27 ms
7,756 KB
testcase_11 AC 113 ms
21,816 KB
testcase_12 AC 129 ms
23,116 KB
testcase_13 AC 173 ms
30,940 KB
testcase_14 AC 178 ms
32,408 KB
testcase_15 AC 230 ms
38,896 KB
testcase_16 AC 262 ms
43,860 KB
testcase_17 AC 24 ms
7,692 KB
testcase_18 AC 434 ms
73,608 KB
testcase_19 AC 462 ms
73,552 KB
testcase_20 AC 221 ms
37,560 KB
testcase_21 AC 360 ms
74,128 KB
testcase_22 AC 468 ms
73,104 KB
testcase_23 AC 475 ms
73,008 KB
testcase_24 AC 477 ms
72,040 KB
testcase_25 AC 511 ms
71,892 KB
testcase_26 AC 2 ms
4,380 KB
testcase_27 AC 15 ms
6,012 KB
testcase_28 AC 16 ms
5,960 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 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 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 T>
void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cout<<v[i][0];for(ll j=1;j<w;j++)cout spa v[i][j];cout<<endl;}};
void debug(vector<string>&v,ll h,ll w){for(ll i=0;i<h;i++)
{for(ll j=0;j<w;j++)cout<<v[i][j];cout<<endl;}};
template<typename T>
void debug(vector<T>&v,ll n){if(n!=0)cout<<v[0];
for(ll i=1;i<n;i++)cout spa v[i];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;
}
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
template< typename Monoid ,typename F>
struct SegmentTree {
  int sz, n;
  vector< Monoid > seg;
  const F f;
  const Monoid M1;

  SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1), n(n){
    sz = 1;
    while(sz < n) sz <<= 1;
    seg.assign(2 * sz, M1);
  }

  void set(int k, const Monoid &x) {
    seg[k + sz] = x;
  }

  void build() {
    for(int k = sz - 1; k > 0; k--) {
      seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  void update(int k, const Monoid &x) {
    k += sz;
    seg[k] = x;
    while(k >>= 1) {
      seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }

  Monoid query(int a, int b) {
	  if(a>=b)return M1;
    Monoid L = M1, R = M1;
    for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
      if(a & 1) L = f(L, seg[a++]);
      if(b & 1) R = f(seg[--b], R);
    }
    return f(L, R);
  }

  Monoid operator[](const int &k) const {
    return seg[k + sz];
  }

  template< typename C >
  int find_subtree(int a, const C &check, Monoid &M, bool type) {
    while(a < sz) {
      Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]);
      if(check(nxt)) a = 2 * a + type;
      else M = nxt, a = 2 * a + 1 - type;
    }
    return a - sz;
  }


  template< typename C >
  int find_first(int a, const C &check) {
    Monoid L = M1;
    if(a <= 0) {
      if(check(f(L, seg[1]))) return find_subtree(1, check, L, false);
      return -1;
    }
    int b = sz;
    for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
      if(a & 1) {
        Monoid nxt = f(L, seg[a]);
        if(check(nxt)) return find_subtree(a, check, L, false);
        L = nxt;
        ++a;
      }
    }
    return -1;
  }

  template< typename C >
  int find_last(int b, const C &check) {
    Monoid R = M1;
    if(b >= sz) {
      if(check(f(seg[1], R))) return find_subtree(1, check, R, true);
      return -1;
    }
    int a = sz;
    for(b += sz; a < b; a >>= 1, b >>= 1) {
      if(b & 1) {
        Monoid nxt = f(seg[--b], R);
        if(check(nxt)) return find_subtree(b, check, R, true);
        R = nxt;
      }
    }
    return -1;
  }
  void print(){
    for(ll i=0;i<n;i++)if((*this)[i]==M1)cout<<"x ";else cout<<(*this)[i]<<" ";
    cout<<endl;
  }
};
template<typename T> 
struct SWAG{
  stack<pair<T,T>>st_front,st_back;
  T func(T x, T y){return max(x,y);}
  void push(T x){
    if(st_back.empty())st_back.emplace(x,x);
    else st_back.emplace(x,func(st_back.top().second,x));
  }
  void pop(){
    if(st_front.empty()){
      while(!st_back.empty()){
       if(st_front.empty())st_front.emplace(st_back.top().first,st_back.top().first);
       else st_front.emplace(st_back.top().first,func(st_back.top().first, st_front.top().second));
       st_back.pop();
      }
    }
    st_front.pop();
  }
  T query(){
    if(st_front.empty())return st_back.top().second;
    else if(st_back.empty())return st_front.top().second;
    else return func(st_front.top().second, st_back.top().second);
  }
  bool empty(){
    return st_front.empty() && st_back.empty();
  }
  int size(){
    return st_front.size() + st_back.size();
  }
};
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n,k,m;cin>>n>>k>>m;
  vector<ll>a(n);
  rep(i,0,n)cin>>a[i];
  vector<ll>b(n+1);
  rep(i,0,n)b[i+1]=b[i]+a[i];
  auto f=[&](ll x,ll y){return max(x,y);};
  vector<P>p(n+1);
  rep(i,0,n+1)p[i]=MP(b[i],i);
  sort(ALL(p));
  vector<ll>idx(n+1);
  rep(i,0,n+1)idx[p[i].se]=i;
  auto dp=vec(n+1,k+1,-INF);
  dp[0][0]=0;
  rep(j,1,k+1){
    SWAG<ll>sw1,sw2;
    rep(i,0,n){
      sw1.push(dp[i][j-1]-b[i]);
      sw2.push(dp[i][j-1]+b[i]);
      if(i>=m){
        sw1.pop();
        sw2.pop();
      }
      ll mx1=sw1.query();
      ll mx2=sw2.query();
      ll mx=max(mx1+b[i+1],mx2-b[i+1]);
      if(i==n-1&&j==k)res=mx;
      dp[i+1][j]=mx;
    }
  }
  //debug(idx,n+1);
  cout<<res<<endl;
  return 0;
}
0