結果

問題 No.2332 Make a Sequence
ユーザー hitonanode
提出日時 2023-05-28 14:53:52
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 294 ms / 2,000 ms
コード長 12,433 bytes
コンパイル時間 2,723 ms
コンパイル使用メモリ 196,480 KB
実行使用メモリ 35,616 KB
最終ジャッジ日時 2024-12-27 03:26:43
合計ジャッジ時間 15,931 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
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 * 2
other AC * 61
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 <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each
    (begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r
    .first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r
    .first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end
    ()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os <<
    ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v
    << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);},
    tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) {
    ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os
    << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os <<
    ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}';
    return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os <<
    '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v <<
    ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa
    .second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v
    .first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for
    (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9
    ;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET
    << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " <<
    __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif
#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>
// Li-Chao tree
// init() : set x's where we will execute get(x) queries
// add_segment(l, r, a, b): update by ax + b in [l, r)
// get(x): get min
template <class T, class T_MP> struct li_chao_tree {
int _n, _head;
std::vector<T> xs;
li_chao_tree() : _n(0), _head(0) {}
struct _Line {
T a, b;
int line_idx;
bool is_valid;
T_MP eval(T x) const noexcept { return T_MP(a) * x + b; }
};
std::vector<_Line> lines;
struct LCR {
T l, c, r;
};
std::vector<LCR> lcr;
void init(const std::vector<T> &xs_) {
xs = xs_;
std::sort(xs.begin(), xs.end());
xs.erase(std::unique(xs.begin(), xs.end()), xs.end());
_n = xs.size();
_head = 1;
while (_head < _n) _head <<= 1;
lines.assign(_head * 2, {0, 0, -1, false});
lcr.resize(_head * 2);
for (int i = 0; i < _n; ++i) lcr[_head + i] = {xs[i], xs[i], xs[i]};
for (int i = _head - 1; i; --i) {
int l = i * 2, r = i * 2 + 1;
lcr[i] = {lcr[l].l, lcr[r].l, lcr[r].r};
}
}
int il, ir;
void _rec(int now, int nowl, int nowr, _Line line_add) {
const int nowc = (nowl + nowr) / 2;
if (nowl >= ir or nowr <= il) {
return;
} else if (il <= nowl and nowr <= ir) {
if (!lines[now].is_valid) {
lines[now] = line_add;
return;
}
bool upd_l = lines[now].eval(lcr[now].l) > line_add.eval(lcr[now].l);
bool upd_c = lines[now].eval(lcr[now].c) > line_add.eval(lcr[now].c);
bool upd_r = lines[now].eval(lcr[now].r) > line_add.eval(lcr[now].r);
if (upd_l and upd_c and upd_r) {
lines[now] = line_add;
return;
} else if (upd_c and upd_r) {
std::swap(lines[now], line_add);
_rec(now * 2, nowl, nowc, line_add);
} else if (upd_l and upd_c) {
std::swap(lines[now], line_add);
_rec(now * 2 + 1, nowc, nowr, line_add);
} else if (upd_l) {
_rec(now * 2, nowl, nowc, line_add);
} else if (upd_r) {
_rec(now * 2 + 1, nowc, nowr, line_add);
} else {
return;
}
} else {
if (il < nowc) _rec(now * 2, nowl, nowc, line_add);
if (ir > nowc) _rec(now * 2 + 1, nowc, nowr, line_add);
}
}
void add_line(T a, T b, int idx = -1) {
il = 0, ir = _n;
if (il >= ir) return;
_rec(1, 0, _head, _Line{a, b, idx, true});
}
void add_segment(T xl, T xr, T a, T b, int idx = -1) {
il = std::lower_bound(xs.begin(), xs.end(), xl) - xs.begin();
ir = std::lower_bound(xs.begin(), xs.end(), xr) - xs.begin();
if (il >= ir) return;
_rec(1, 0, _head, _Line{a, b, idx, true});
}
struct Ret {
T line_a, line_b;
int line_idx;
bool is_valid;
T_MP minval;
};
Ret _get_i(int i, T x) {
i += _head;
_Line ret = lines[i];
T_MP val = ret.is_valid ? ret.eval(x) : 0;
for (i /= 2; i; i /= 2) {
if (!lines[i].is_valid) continue;
T_MP tmp = lines[i].eval(x);
if (!ret.is_valid or tmp < val) ret = lines[i], val = tmp;
}
return {ret.a, ret.b, ret.line_idx, ret.is_valid, val};
}
Ret get(T x) {
int i = std::lower_bound(xs.begin(), xs.end(), x) - xs.begin();
assert(i < _n and xs[i] == x);
return _get_i(i, x);
}
};
// Z algorithm (length of longest common prefix for s[0:N] & s[i:N] for each i)
// Input: std::vector<T> / std::string of length N
// Output: std::vector<int> of size N
// Complexity: O(N)
// Sample:
// - `teletelepathy` -> [13, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0]
// Reference: <http://snuke.hatenablog.com/entry/2014/12/03/214243>
template <typename T> std::vector<int> z_algorithm(const std::vector<T> &s) {
const int N = s.size();
if (N == 0) return {};
std::vector<int> ans(N);
ans[0] = N;
int i = 1, j = 0;
while (i < N) {
while (i + j < N and s[j] == s[i + j]) ++j;
ans[i] = j;
if (!j) {
++i;
continue;
}
int k = 1;
while (i + k < N and k + ans[k] < j) ans[i + k] = ans[k], ++k;
i += k;
j -= k;
}
return ans;
}
std::vector<int> z_algorithm(const std::string &s) {
const int N = int(s.size());
std::vector<int> v(N);
for (int i = 0; i < N; i++) v[i] = s[i];
return z_algorithm(v);
}
int main() {
int N, M;
cin >> N >> M;
vector<int> A(N), B(M);
cin >> A >> B;
vector<int> z = A;
z.insert(z.end(), B.begin(), B.end());
z = z_algorithm(z);
z.erase(z.begin(), z.begin() + A.size());
for (auto &x : z) chmin(x, N);
dbg(z);
vector<lint> C(M);
cin >> C;
vector<lint> xs(M + 1);
std::iota(xs.begin(), xs.end(), 0);
dbg(xs);
li_chao_tree<lint, lint> lct;
lct.init(xs);
REP(i, M) {
lint yi = 0;
if (i) {
auto p = lct.get(i);
if (!p.is_valid) continue;
yi = p.minval;
}
lct.add_segment(i + 1, i + 1 + z.at(i), C.at(i), -C.at(i) * i + yi, i);
}
auto p = lct.get(M);
if (!p.is_valid) {
puts("-1");
return 0;
}
cout << p.minval << endl;
}
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