結果
| 問題 |
No.1391 ±1 Abs Sum
|
| コンテスト | |
| ユーザー |
minato
|
| 提出日時 | 2021-02-12 22:28:32 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 12,568 bytes |
| コンパイル時間 | 2,852 ms |
| コンパイル使用メモリ | 210,900 KB |
| 最終ジャッジ日時 | 2025-01-18 19:00:54 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 29 WA * 5 |
ソースコード
#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 U, class F, class G, class H>
struct LazySegmentTree {
private:
F op;
G mapping;
H composition;
T e;
U id;
int _n, size ,log;
vector<T> node;
vector<U> lazy;
public:
LazySegmentTree() {}
LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, int n)
: LazySegmentTree(op, mapping, composition, e, id, vector<T>(n, e)) {}
LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, const vector<T>& v)
: op(op), mapping(mapping), composition(composition), e(e), id(id),
_n(int(v.size())), log(0) {
while ((1<<log) < _n) log++;
size = 1 << log;
node = vector<T>(2 * size, e);
lazy = vector<U>(size, id);
for (int i = 0; i < _n; i++) node[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, T x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
node[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
// [l, r) (0-indexed)
T get(int l, int r) {
if (l >= r) return e;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push(r >> i);
}
T sml = e, smr = e;
while (l < r) {
if (l & 1) sml = op(sml, node[l++]);
if (r & 1) smr = op(node[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
T all_get() const { return node[1]; }
void apply(int p, U val) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
node[p] = val == id ? node[p] : mapping(node[p], val);
for (int i = 1; i <= log; i++) update(p >> i);
}
void apply(int l, int r, U val) {
if (l >= r) return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1) all_apply(l++, val);
if (r & 1) all_apply(--r, val);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l) update(l >> i);
if (((r >> i) << i) != r) update((r - 1) >> i);
}
}
template <typename C>
int max_right(int l, const C& check) {
assert(0 <= l && l <= _n);
assert(check(e));
if (l == _n) return _n;
l += size;
for (int i = log; i >= 1; i--) push(l >> i);
T sm = e;
do {
while (~l & 1) l >>= 1;
if (!check(op(sm, node[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (check(op(sm, node[l]))) {
sm = op(sm, node[l]);
l++;
}
}
return l - size;
}
sm = op(sm, node[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <typename C>
int min_left(int r, const C& check) {
assert(0 <= r && r <= _n);
assert(check(e));
if (r == 0) return 0;
r += size;
for (int i = log; i >= 1; i--) push((r - 1) >> i);
T sm = e;
do {
r--;
while (r > 1 && (r & 1)) r >>= 1;
if (!check(op(node[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (check(op(node[r], sm))) {
sm = op(node[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(node[r], sm);
} while ((r & -r) != r);
return 0;
}
T operator[](int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return node[p];
}
private:
void update(int k) { node[k] = op(node[2 * k], node[2 * k + 1]); }
void all_apply(int k, U val) {
node[k] = val == id ? node[k] : mapping(node[k], val);
if (k < size) lazy[k] = composition(lazy[k], val);
}
void push(int k) {
if (lazy[k] == id) return;
all_apply(2 * k, lazy[k]);
all_apply(2 * k + 1, lazy[k]);
lazy[k] = id;
}
};
constexpr ll INF = TEN(18);
void naive() {
int N,K; cin >> N >> K;
vec<ll> A(N);
rep(i,N) cin >> A[i];
ll ans = INF;
int pos = 0;
rep(n,N) {
ll tmp = 0;
rep(i,N) {
if (i < K) tmp += abs(A[i]-A[n]);
else tmp -= abs(A[i]-A[n]);
}
if (chmin(ans,tmp)) {
pos = n;
}
tmp = 0;
rep(i,N) {
if (i < N-K) tmp -= abs(A[i]-A[n]);
else tmp += abs(A[i]-A[n]);
}
if (chmin(ans,tmp)) {
pos = n;
}
}
debug(ans,pos);
}
void naive2() {
int N,K; cin >> N >> K;
vec<ll> A(N);
rep(i,N) cin >> A[i];
ll lb = A[0];
ll ub = A[N-1];
auto calc=[&](ll x) {
priority_queue<ll, vec<ll>, greater<ll>> pq;
rep(i,N) {
pq.emplace(abs(A[i]-x));
}
ll ret = 0;
rep(i,N) {
if (i < K) ret += pq.top();
else ret -= pq.top();
pq.pop();
}
return ret;
};
for (int x = lb; x <= ub; x++) {
debug(x,calc(x));
}
}
void solve() {
int N,K; cin >> N >> K;
vec<ll> A(N);
rep(i,N) cin >> A[i];
ll ans = INF;
auto calc=[&]() {
auto f=[](pll a, pll b) {return pll(a.first+b.first,a.second+b.second);};
auto g=[](pll a, ll val) {return pll(a.first+val*a.second,a.second);};
auto h=[](ll a, ll b) {return a+b;};
const pll e = pll(0,0);
const ll id = 0;
LazySegmentTree seg(f,g,h,e,id,N);
rep(i,N) {
seg.set(i,pll(A[i]-A[0],1));
}
{
ll val1 = seg.get(0,K).first - seg.get(K,N).first;
ll val2 = - seg.get(0,N-K).first + seg.get(N-K,N).first;
chmin(ans,min(val1,val2));
}
for (int i = 1; i < N; i++) {
ll tmp = seg[i].first;
seg.apply(0,i,tmp);
seg.apply(i,N,-tmp);
ll val1 = seg.get(0,K).first - seg.get(K,N).first;
ll val2 = - seg.get(0,N-K).first + seg.get(N-K,N).first;
chmin(ans,min(val1,val2));
}
};
calc();
cout << ans << ln;
}
void solve2() {
int N,K; cin >> N >> K;
vec<ll> A(N);
rep(i,N) cin >> A[i];
auto calc=[&](ll x) {
priority_queue<ll, vec<ll>, greater<ll>> pq;
rep(i,N) {
pq.emplace(abs(A[i]-x));
}
ll ret = 0;
rep(i,N) {
if (i < K) ret += pq.top();
else ret -= pq.top();
pq.pop();
}
return ret;
};
ll lb = A[0];
ll ub = A[N-1]+1;
ll ans = min(calc(lb),calc(ub-1));
while (ub-lb>1) {
ll mid = (lb+ub)/2;
(calc(mid) - calc(mid-1) < 0 ? lb : ub) = mid;
}
chmin(ans,calc(lb));
cout << ans << ln;
}
int main() {
//naive2();
//solve();
solve2();
}
minato