結果

問題 No.1117 数列分割
ユーザー Ogtsn99
提出日時 2020-07-19 11:30:17
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 943 ms / 3,000 ms
コード長 5,956 bytes
コンパイル時間 3,294 ms
コンパイル使用メモリ 207,168 KB
最終ジャッジ日時 2025-01-12 00:48:16
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 26
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 #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i,n) for(int (i)=0;(i)<(n);(i)++)
#define rrep(i,n) for(int (i)=((n)-1);(i)>=0;(i)--)
#define itn int
#define miele(v) min_element(v.begin(), v.end())
#define maele(v) max_element(v.begin(), v.end())
#define SUM(v) accumulate(v.begin(), v.end(), 0LL)
#define lb(a, key) lower_bound(a.begin(),a.end(),key)
#define ub(a, key) upper_bound(a.begin(),a.end(),key)
#define COUNT(a, key) count(a.begin(), a.end(), key) 
#define BITCOUNT(x) __builtin_popcount(x)
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
using P = pair <int,int>;
using WeightedGraph = vector<vector <P>>;
using UnWeightedGraph = vector<vector<int>>;
using Real = long double;
using Point = complex<Real>; //Point and Vector2d is the same!
using Vector2d = complex<Real>;
const long long INF = 1LL << 60;
const int MOD = 1000000007;
const double EPS = 1e-15;
const double PI=3.14159265358979323846;
template <typename T> 
int getIndexOfLowerBound(vector <T> &v, T x){
    return lower_bound(v.begin(),v.end(),x)-v.begin();
}
template <typename T> 
int getIndexOfUpperBound(vector <T> &v, T x){
    return upper_bound(v.begin(),v.end(),x)-v.begin();
}
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
#define DUMPOUT cerr
#define repi(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
istream &operator>>(istream &is, Point &p) {
    Real a, b; is >> a >> b; p = Point(a, b); return is;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T,U> &p_var) {
    is >> p_var.first >> p_var.second;
    return is;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &vec) {
    for (T &x : vec) is >> x;
    return is;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, pair<T, U> &pair_var) {
    DUMPOUT<<'{';
    os << pair_var.first;
    DUMPOUT<<',';
    os << " "<< pair_var.second;
    DUMPOUT<<'}';
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &vec) {
    DUMPOUT<<'[';
    for (int i = 0; i < vec.size(); i++) 
    os << vec[i] << (i + 1 == vec.size() ? "" : " ");
    DUMPOUT<<']';
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &df) {
  for (auto& vec : df) os<<vec;
  return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, map<T, U> &map_var) {
    DUMPOUT << "{";
    repi(itr, map_var) {
        os << *itr;
        itr++;
        if (itr != map_var.end()) DUMPOUT << ", ";
        itr--;
    }
    DUMPOUT << "}";
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, set<T> &set_var) {
    DUMPOUT << "{";
    repi(itr, set_var) {
        os << *itr;
        itr++;
        if (itr != set_var.end()) DUMPOUT << ", ";
        itr--;
    }
    DUMPOUT << "}";
    return os;
}
void print() {cout << endl;}
template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
  cout << head;
  if (sizeof...(tail) != 0) cout << " ";
  print(forward<Tail>(tail)...);
}
void dump_func() {DUMPOUT << '#'<<endl;}
template <typename Head, typename... Tail>
void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(std::move(tail)...);
}
#ifdef DEBUG_
#define DEB
#define dump(...)                                                              \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                            \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]"        \
            << endl                                                            \
            << "    ",                                                         \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
template< typename T >
struct ruiseki{
    vector <T> s;
    int sz;
    ruiseki(vector <T> &a){
        sz = a.size()+1;
        s.resize(sz);
        for(int i=1;i<sz;i++) s[i] = s[i-1] + a[i-1];
    }
    T get(int a, int b){
        if(a < 0) a = 0; if(a > sz-1) a = sz-1;
        if(b > sz-1) b = sz-1;
        return s[b] - s[a];
    }
};
vector <vector<int>> dp(3200,vector <int>(3200, -INF));
signed main(void) { cin.tie(0); ios::sync_with_stdio(false);
    int n, m, k; cin>>n>>k>>m;
    vector <int> a(n);
    cin>>a;
    ruiseki <int> rui(a);
    dp[0][0] = 0;
    vector <deque <P>> deq1(k+1), deq2(k+1);
    deq1[0].pb({0, 0}), deq2[0].pb({0, 0});
    for(int i=0;i<n;i++){
        for(int j=1;j<=k;j++){
            while(1){
                if(deq1[j-1].empty()) break;
                else if(deq1[j-1].front().F < i + 1 - m) deq1[j-1].pop_front();
                else break;
            }
            while(1){
                if(deq2[j-1].empty()) break;
                else if(deq2[j-1].front().F < i + 1 - m) deq2[j-1].pop_front();
                else break;
            }
            int ma1 = -INF, ma2 = -INF;
            if(!deq1[j-1].empty()) ma1 = deq1[j-1].front().S;
            if(!deq2[j-1].empty()) ma2 = deq2[j-1].front().S;
            chmax(dp[i+1][j], ma1 - rui.get(0, i+1));
            chmax(dp[i+1][j], ma2 + rui.get(0, i+1));
        }
        for (int j = 0; j <= k; j++) {
            while(1){
                if(deq1[j].empty()) break;
                else if(deq1[j].back().S < dp[i+1][j] + rui.get(0, i+1)) deq1[j].pop_back();
                else break;
            }
            while(1){
                if(deq2[j].empty()) break;
                else if(deq2[j].back().S < dp[i+1][j] - rui.get(0, i+1)) deq2[j].pop_back();
                else break;
            }
            deq1[j].push_back({i+1, dp[i+1][j] + rui.get(0, i+1)});
            deq2[j].push_back({i+1 , dp[i+1][j] - rui.get(0, i+1)});
        }
    }
    print(dp[n][k]);
}
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