結果
| 問題 |
No.880 Yet Another Segment Tree Problem
|
| コンテスト | |
| ユーザー |
hashiryo
|
| 提出日時 | 2022-06-20 19:00:24 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 7,897 bytes |
| コンパイル時間 | 2,151 ms |
| コンパイル使用メモリ | 201,056 KB |
| 最終ジャッジ日時 | 2025-01-29 23:30:58 |
|
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 20 WA * 12 TLE * 5 |
ソースコード
#include <bits/stdc++.h>
#ifndef TEMP
#define TEMP
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &x) {
return os << "(" << x.first << ", " << x.second << ")";
}
template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec) {
os << '[' << vec[0];
for (int _ = 1, __ = vec.size(); _ < __; _++) os << ", " << vec[_];
return os << ']';
}
template <typename T, std::size_t _Nm>
std::ostream &operator<<(std::ostream &os, const std::array<T, _Nm> &arr) {
os << '[' << arr[0];
for (std::size_t _ = 1; _ < _Nm; _++) os << ", " << arr[_];
return os << ']';
}
template <class Tup, std::size_t... I>
void print(std::ostream &os, const Tup &x, std::index_sequence<I...>) {
using swallow = int[];
(void)swallow{(os << std::get<I>(x) << ", ", 0)...};
}
template <class... Args>
std::ostream &operator<<(std::ostream &os, const std::tuple<Args...> &x) {
static constexpr std::size_t N = sizeof...(Args);
os << "(";
if constexpr (N >= 2) print(os, x, std::make_index_sequence<N - 1>());
return os << std::get<N - 1>(x) << ")";
}
#ifdef __LOCAL
const std::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", ITALIC = "\033[3m",
BOLD = "\033[1m", RED_BACKGROUND = "\033[1;41m",
NORMAL_FAINT = "\033[0;2m";
#define func_LINE_FILE \
NORMAL_FAINT << " in " << BOLD << __func__ << NORMAL_FAINT << ITALIC \
<< " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET
#define checkpoint() \
std::cerr << BRIGHT_RED << "< check point! >" << func_LINE_FILE << '\n'
#define debug(x) \
std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) \
<< func_LINE_FILE << '\n'
#define debugArray(x, n) \
do { \
std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = [" << x[0]; \
for (int _ = 1; _ < (int)(n); ++_) std::cerr << ", " << x[_]; \
std::cerr << "]" << func_LINE_FILE << '\n'; \
} while (0)
#define debugMatrix(x, h, w) \
do { \
std::cerr << BRIGHT_CYAN << #x << "\n" << COLOR_RESET << "= "; \
for (int _ = 0; (_) < (int)(h); ++_) { \
std::cerr << ((_ ? " [" : "[[")); \
for (int __ = 0; __ < (int)(w); ++__) \
std::cerr << ((__ ? ", " : "")) << x[_][__]; \
std::cerr << "]" << (_ + 1 == (int)(h) ? "]" : ",\n"); \
} \
std::cerr << func_LINE_FILE << '\n'; \
} while (0)
#else
#define checkpoint() (void(0))
#define debug(x) (void(0))
#define debugArray(x, n) (void(0))
#define debugMatrix(x, h, w) (void(0))
#endif
template <class T>
auto compress(std::vector<T> &v) {
std::sort(v.begin(), v.end());
v.erase(std::unique(v.begin(), v.end()), v.end());
return
[&v](T x) { return std::lower_bound(v.begin(), v.end(), x) - v.begin(); };
}
struct ClosedSection {
long long l, r;
ClosedSection() : l(1), r(0) {}
ClosedSection(long long l_, long long r_) : l(l_), r(r_) {}
bool valid() { return l <= r; }
};
template <class Check> // closed [l,r]
ClosedSection bin_search(const Check &isok, int l, int r) {
bool res_l = isok(l), res_r = isok(r);
if (res_l && res_r) return ClosedSection(l, r);
if (!res_l && !res_r) return ClosedSection();
int lb, ub;
for (int x; ub - lb > 1;) (isok(x = (lb + ub) / 2) == res_l ? lb : ub) = x;
return res_l ? ClosedSection(l, lb) : ClosedSection(ub, r);
}
template <class Check>
ClosedSection bin_search(const Check &isok, ClosedSection cs) {
return cs.valid() ? bin_search(isok, cs.l, cs.r) : cs;
}
#endif
template <typename M>
struct SegmentTree_Beats {
using T = typename M::T;
using E = typename M::E;
SegmentTree_Beats() {}
SegmentTree_Beats(int n_)
: n(n_),
height(ceil(log2(n))),
dat(n * 2, M::ti()),
laz(n * 2, {E(), false}) {}
SegmentTree_Beats(int n_, T v1) : SegmentTree_Beats(n_) {
for (int i = n; i--;) dat[i + n] = v1;
for (int i = n; --i;) update(i);
}
SegmentTree_Beats(const std::vector<T> &v) : SegmentTree_Beats(v.size()) {
for (int i = n; i--;) dat[i + n] = v[i];
for (int i = n; --i;) update(i);
}
void unsafe_set(int k, T x) { dat[k + n] = x; }
void rebuild() {
for (int i = n + n; i--;) laz[i].flg = false;
for (int i = n; --i;) update(i);
}
void apply(int a, int b, E x) {
a += n, b += n;
for (int i = height; i; i--)
if (((a >> i) << i) != a) eval(a >> i);
for (int i = height; i; i--)
if (((b >> i) << i) != b) eval((b - 1) >> i);
for (int l = a, r = b; l < r; l >>= 1, r >>= 1) {
if (l & 1) propagate(l++, x);
if (r & 1) propagate(--r, x);
}
for (int i = 1; a >> i; i++)
if (((a >> i) << i) != a) update(a >> i);
for (int i = 1; b >> i; i++)
if (((b >> i) << i) != b) update((b - 1) >> i);
}
void set(int k, T x) {
int i = height;
for (k += n; i; i--) eval(k >> i);
for (dat[k] = x, laz[k].flg = false, i = 1; k >> i; i++) update(k >> i);
}
T fold(int a, int b) { //[a,b)
a += n, b += n;
for (int i = height; i; i--)
if (((a >> i) << i) != a) eval(a >> i);
for (int i = height; i; i--)
if (((b >> i) << i) != b) eval(b >> i);
T vl = M::ti(), vr = M::ti();
for (int l = a, r = b; l < r; l >>= 1, r >>= 1) {
if (l & 1) vl = M::op(vl, dat[l++]);
if (r & 1) vr = M::op(dat[--r], vr);
}
return M::op(vl, vr);
}
T operator[](const int k) { return fold(k, k + 1); }
private:
const int n, height;
struct Lazy {
E val;
bool flg;
};
std::vector<T> dat;
std::vector<Lazy> laz;
inline void eval(int k) {
if (!laz[k].flg) return;
propagate(k << 1 | 0, laz[k].val), propagate(k << 1 | 1, laz[k].val);
laz[k].flg = false;
}
inline void propagate(int k, const E &x) {
if (bool success = M::mapping(dat[k], x); k < n) {
laz[k] = {laz[k].flg ? M::composition(laz[k].val, x) : x, true};
if (!success) eval(k), update(k);
}
}
inline void update(int k) {
dat[k] = M::op(dat[k << 1 | 0], dat[k << 1 | 1]);
}
};
using namespace std;
struct Mono {
struct T {
uint32_t max;
uint64_t sum;
uint32_t sz;
};
static T ti() { return T(); }
static T op(const T &vl, const T &vr) {
return {max(vl.max, vr.max), vl.sum + vr.sum, vl.sz + vr.sz};
}
struct E {
uint32_t upd, gcd;
};
static bool mapping(T &v, const E &f) {
if (v.max * v.sz != v.sum && f.gcd != 0) return false;
v.max = f.gcd == 0 ? f.upd : gcd(v.max, f.gcd);
v.sum = v.max * v.sz;
return true;
}
static E composition(const E &pre, const E &suf) {
if (pre.gcd != 0 && suf.gcd != 0) return {0, gcd(pre.gcd, suf.gcd)};
return {suf.gcd == 0 ? suf.upd : gcd(pre.upd, suf.gcd), 0};
}
};
signed main() {
cin.tie(0);
ios::sync_with_stdio(false);
int N, Q;
cin >> N >> Q;
SegmentTree_Beats<Mono> seg(N);
for (int i = 0; i < N; i++) {
unsigned a;
cin >> a;
seg.unsafe_set(i, {a, a, 1});
}
seg.rebuild();
while (Q--) {
int op, l, r;
cin >> op >> l >> r, l--;
if (op < 3) {
unsigned x;
cin >> x;
if (op == 1) seg.apply(l, r, {x, 0});
if (op == 2) seg.apply(l, r, {0, x});
} else {
if (op == 3) cout << seg.fold(l, r).max << '\n';
if (op == 4) cout << seg.fold(l, r).sum << '\n';
}
}
return 0;
}
hashiryo