結果

問題 No.1391 ±1 Abs Sum
ユーザー minatominato
提出日時 2021-02-13 18:35:52
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 70 ms / 2,000 ms
コード長 6,209 bytes
コンパイル時間 2,215 ms
コンパイル使用メモリ 204,676 KB
実行使用メモリ 6,400 KB
最終ジャッジ日時 2024-07-20 21:54:34
合計ジャッジ時間 5,025 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
このコードへのチャレンジ
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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
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 70 ms
6,400 KB
testcase_12 AC 51 ms
5,760 KB
testcase_13 AC 63 ms
6,016 KB
testcase_14 AC 43 ms
5,376 KB
testcase_15 AC 43 ms
5,376 KB
testcase_16 AC 56 ms
5,504 KB
testcase_17 AC 50 ms
5,376 KB
testcase_18 AC 68 ms
6,016 KB
testcase_19 AC 43 ms
5,376 KB
testcase_20 AC 68 ms
6,272 KB
testcase_21 AC 47 ms
5,760 KB
testcase_22 AC 45 ms
5,760 KB
testcase_23 AC 51 ms
6,144 KB
testcase_24 AC 46 ms
5,760 KB
testcase_25 AC 49 ms
5,888 KB
testcase_26 AC 51 ms
6,016 KB
testcase_27 AC 34 ms
5,376 KB
testcase_28 AC 33 ms
5,376 KB
testcase_29 AC 46 ms
5,888 KB
testcase_30 AC 40 ms
5,504 KB
testcase_31 AC 68 ms
6,400 KB
testcase_32 AC 14 ms
5,376 KB
testcase_33 AC 16 ms
5,376 KB
testcase_34 AC 40 ms
6,144 KB
testcase_35 AC 2 ms
5,376 KB
testcase_36 AC 44 ms
6,400 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 #

#include <bits/stdc++.h>
using namespace std;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
template <class T> using vec = vector<T>;
template <class T> using vvec = vector<vector<T>>;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
constexpr char ln = '\n';
template <class Container> inline int SZ(const Container& v) { return int(v.size()); }
template <class T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }
template <class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; }
template <class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; }
inline int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }
inline int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); }
inline int popcount(ull x) { return __builtin_popcountll(x); }
inline int kthbit(ull x, int k) { return (x >> k) & 1; }
inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x - 1) * 10; }
const string YESNO[2] = {"NO", "YES"};
const string YesNo[2] = {"No", "Yes"};
inline void YES(bool t = true) { cout << YESNO[t] << "\n"; }
inline void Yes(bool t = true) { cout << YesNo[t] << "\n"; }
template <class T> inline void drop(T x) { cout << x << "\n"; exit(0); }
inline void print() { cout << "\n"; }
template <class T> inline void print(const vector<T>& v) { for (auto it = v.begin(); it != v.end(); ++it) { if (it != v.begin()) { cout << " "; } cout << *it; } print(); }
template <class T, class... Args> inline void print(const T& x, const Args& ... args) { cout << x << " "; print(args...); }
#ifdef MINATO_LOCAL
template <class T1, class T2> ostream& operator<<(ostream& os, pair<T1, T2> p) { return os << "(" << p.first << ", " << p.second << ")"; }
template <size_t N, class TUPLE> void debug_tuple(ostream& os, TUPLE _) { (void)os; (void)_; }
template <size_t N, class TUPLE, class T, class ...Args> void debug_tuple(ostream &os, TUPLE t) { os << (N == 0 ? "" : ", ") << get<N>(t); debug_tuple<N + 1, TUPLE, Args...>(os, t); }
template <class ...Args> ostream& operator<<(ostream& os, tuple<Args...> t) { os << "("; debug_tuple<0, tuple<Args...>, Args...>(os, t); return os << ")"; }
string debug_delim(int& i) { return i++ == 0 ? "" : ", "; }
#define debug_embrace(x) { int i = 0; os << "{";  { x } return os << "}"; }
template <class T> ostream& operator<<(ostream& os, vector<T> v) { debug_embrace( for (T e : v) { os << debug_delim(i) << e; } ) }
template <class T, size_t N> ostream& operator<<(ostream& os, array<T, N> a) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) }
template <class T, size_t N> enable_if_t<!is_same_v<char, remove_cv_t<T>>, ostream>& operator<<(ostream& os, T(&a)[N]) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) }
template <class Key> ostream& operator<<(ostream& os, set<Key> s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) }
template <class Key, class T> ostream& operator<<(ostream& os, map<Key, T> mp) { debug_embrace( for (auto e : mp) { os << debug_delim(i) << e; }) }
template <class Key> ostream& operator<<(ostream& os, multiset<Key> s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) }
template <class T> ostream& operator<<(ostream& os, queue<T> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.front(); } ) }
template <class T> ostream& operator<<(ostream& os, deque<T> q) { debug_embrace( for (T e : q) { os << debug_delim(i) << e; } ) }
template <class T> ostream& operator<<(ostream& os, priority_queue<T> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) }
template <class T> ostream& operator<<(ostream& os, priority_queue<T, vector<T>, greater<T>> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) }
void debug_out() { cerr << endl; }
template <class T, class... Args> void debug_out(const T& x, const Args& ... args) { cerr << " " << x; debug_out(args...); }
#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif
struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(7); }; } fast_ios_;
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

template <class T, class F>
T binary_search_(T ok, T ng, const F& f) {
    assert(ok != ng);
    while (abs(ok - ng) > 1) {
        T mid = (ok + ng) / 2;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}

int main() {
    int N, K; cin >> N >> K;
    vec<ll> A(N);
    rep(i,N) cin >> A[i];

    if (K == 0) {
        ll ans = 1e18;
        ll tmp = 0;
        rep(i,N) {
            tmp -= abs(A[0]-A[i]);
        }
        chmin(ans,tmp);
        tmp = 0;
        rep(i,N) {
            tmp -= abs(A[N-1]-A[i]);
        }
        chmin(ans,tmp);
        cout << ans << ln;
        return 0;
    }
    vec<ll> sm(N+1);
    rep(i,N) sm[i+1] = sm[i] + A[i];

    ll ans = 1e18;
    rep(pos,N) {
        auto check1=[&](int mid) {
            if (mid < 0) return false;
            if (mid + K >= N) return true;
            return abs(A[mid] - A[pos]) <= abs(A[mid+K] - A[pos]);
        };
        auto check2=[&](int mid) {
            if (mid <= 0) return true;
            if (mid + K - 1 >= N) return false;
            return abs(A[mid+K-1] - A[pos]) <= abs(A[mid-1] - A[pos]);
        };
        int l = binary_search_(N,-1,check1);
        int r = binary_search_(-1,N,check2);
        assert(l <= r);
        ll tmp = 0;
        tmp -= -(sm[l] - sm[0]) + A[pos] * l;
        tmp -= sm[N] - sm[l+K] - A[pos] * (N - (l+K)); 
        tmp += -(sm[pos] - sm[l]) + A[pos] * (pos - l);
        tmp += sm[l+K] - sm[pos] - A[pos] * (l + K - pos);
        chmin(ans,tmp); 
    }

    cout << ans << ln;
}
0