結果

問題 No.1117 数列分割
ユーザー 👑 tute7627
提出日時 2020-07-17 22:42:06
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 571 ms / 3,000 ms
コード長 6,111 bytes
コンパイル時間 2,629 ms
コンパイル使用メモリ 211,072 KB
最終ジャッジ日時 2025-01-11 23:08:55
ジャッジサーバーID
(参考情報)
judge5 / 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

//#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;
}
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