結果
| 問題 | No.2169 To Arithmetic |
| ユーザー |
 maspy
|
| 提出日時 | 2022-12-23 05:34:53 |
| 言語 | C++23(draft) (gcc 13.2.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 552 ms / 2,000 ms |
| コード長 | 22,453 bytes |
| コンパイル時間 | 6,308 ms |
| コンパイル使用メモリ | 316,124 KB |
| 実行使用メモリ | 62,376 KB |
| 最終ジャッジ日時 | 2023-08-11 11:45:23 |
| 合計ジャッジ時間 | 18,382 ms |
|
ジャッジサーバーID （参考情報） |
judge12 / judge14 |
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
4,384 KB |
| testcase_01 | AC | 1 ms
4,376 KB |
| testcase_02 | AC | 2 ms
4,376 KB |
| testcase_03 | AC | 2 ms
4,380 KB |
| testcase_04 | AC | 4 ms
4,380 KB |
| testcase_05 | AC | 4 ms
4,380 KB |
| testcase_06 | AC | 4 ms
4,376 KB |
| testcase_07 | AC | 4 ms
4,380 KB |
| testcase_08 | AC | 3 ms
4,380 KB |
| testcase_09 | AC | 81 ms
15,588 KB |
| testcase_10 | AC | 294 ms
40,820 KB |
| testcase_11 | AC | 246 ms
31,880 KB |
| testcase_12 | AC | 172 ms
31,840 KB |
| testcase_13 | AC | 420 ms
52,592 KB |
| testcase_14 | AC | 198 ms
27,472 KB |
| testcase_15 | AC | 203 ms
37,108 KB |
| testcase_16 | AC | 202 ms
27,352 KB |
| testcase_17 | AC | 262 ms
36,988 KB |
| testcase_18 | AC | 126 ms
20,756 KB |
| testcase_19 | AC | 552 ms
62,228 KB |
| testcase_20 | AC | 551 ms
62,024 KB |
| testcase_21 | AC | 552 ms
62,376 KB |
| testcase_22 | AC | 552 ms
62,100 KB |
| testcase_23 | AC | 552 ms
62,228 KB |
| testcase_24 | AC | 312 ms
32,592 KB |
| testcase_25 | AC | 246 ms
38,136 KB |
| testcase_26 | AC | 332 ms
32,488 KB |
| testcase_27 | AC | 328 ms
32,592 KB |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pi = pair<ll, ll>;
using vi = vector<ll>;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c))
#define overload4(a, b, c, d, e, ...) e
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) \
overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sum = 0;
for (auto &&a: A) sum += a;
return sum;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) \
sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
T pick(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T pick(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(pqg<T> &que) {
assert(que.size());
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(vc<T> &que) {
assert(que.size());
T a = que.back();
que.pop_back();
return a;
}
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename F>
ll binary_search(F check, ll ok, ll ng) {
assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
FOR(iter) {
double x = (ok + ng) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return (ok + ng) / 2;
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = S[i] - first_char; }
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
template <typename CNT, typename T>
vc<CNT> bincount(const vc<T> &A, int size) {
vc<CNT> C(size);
for (auto &&x: A) { ++C[x]; }
return C;
}
// stable
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(A.size());
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
int n = len(I);
vc<T> B(n);
FOR(i, n) B[i] = A[I[i]];
return B;
}
#endif
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace fastio {
// クラスが read(), print() を持っているかを判定するメタ関数
struct has_write_impl {
template <class T>
static auto check(T &&x) -> decltype(x.write(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_write : public decltype(has_write_impl::check<T>(std::declval<T>())) {
};
struct has_read_impl {
template <class T>
static auto check(T &&x) -> decltype(x.read(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_read : public decltype(has_read_impl::check<T>(std::declval<T>())) {};
struct Scanner {
FILE *fp;
char line[(1 << 15) + 1];
size_t st = 0, ed = 0;
void reread() {
memmove(line, line + st, ed - st);
ed -= st;
st = 0;
ed += fread(line + ed, 1, (1 << 15) - ed, fp);
line[ed] = '\0';
}
bool succ() {
while (true) {
if (st == ed) {
reread();
if (st == ed) return false;
}
while (st != ed && isspace(line[st])) st++;
if (st != ed) break;
}
if (ed - st <= 50) {
bool sep = false;
for (size_t i = st; i < ed; i++) {
if (isspace(line[i])) {
sep = true;
break;
}
}
if (!sep) reread();
}
return true;
}
template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
while (true) {
size_t sz = 0;
while (st + sz < ed && !isspace(line[st + sz])) sz++;
ref.append(line + st, sz);
st += sz;
if (!sz || st != ed) break;
reread();
}
return true;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
ref = T(0);
while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
if (neg) ref = -ref;
return true;
}
template <typename T,
typename enable_if<has_read<T>::value>::type * = nullptr>
inline bool read_single(T &x) {
x.read();
return true;
}
bool read_single(double &ref) {
string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
bool read_single(char &ref) {
string s;
if (!read_single(s) || s.size() != 1) return false;
ref = s[0];
return true;
}
template <class T>
bool read_single(vector<T> &ref) {
for (auto &d: ref) {
if (!read_single(d)) return false;
}
return true;
}
template <class T, class U>
bool read_single(pair<T, U> &p) {
return (read_single(p.first) && read_single(p.second));
}
template <size_t N = 0, typename T>
void read_single_tuple(T &t) {
if constexpr (N < std::tuple_size<T>::value) {
auto &x = std::get<N>(t);
read_single(x);
read_single_tuple<N + 1>(t);
}
}
template <class... T>
bool read_single(tuple<T...> &tpl) {
read_single_tuple(tpl);
return true;
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
Scanner(FILE *fp) : fp(fp) {}
};
struct Printer {
Printer(FILE *_fp) : fp(_fp) {}
~Printer() { flush(); }
static constexpr size_t SIZE = 1 << 15;
FILE *fp;
char line[SIZE], small[50];
size_t pos = 0;
void flush() {
fwrite(line, 1, pos, fp);
pos = 0;
}
void write(const char val) {
if (pos == SIZE) flush();
line[pos++] = val;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void write(T val) {
if (pos > (1 << 15) - 50) flush();
if (val == 0) {
write('0');
return;
}
if (val < 0) {
write('-');
val = -val; // todo min
}
size_t len = 0;
while (val) {
small[len++] = char(0x30 | (val % 10));
val /= 10;
}
for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
pos += len;
}
void write(const string s) {
for (char c: s) write(c);
}
void write(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) write(s[i]);
}
void write(const double x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
void write(const long double x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
template <typename T,
typename enable_if<has_write<T>::value>::type * = nullptr>
inline void write(T x) {
x.write();
}
template <class T>
void write(const vector<T> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
template <class T, class U>
void write(const pair<T, U> val) {
write(val.first);
write(' ');
write(val.second);
}
template <size_t N = 0, typename T>
void write_tuple(const T t) {
if constexpr (N < std::tuple_size<T>::value) {
if constexpr (N > 0) { write(' '); }
const auto x = std::get<N>(t);
write(x);
write_tuple<N + 1>(t);
}
}
template <class... T>
bool write(tuple<T...> tpl) {
write_tuple(tpl);
return true;
}
template <class T, size_t S>
void write(const array<T, S> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
void write(i128 val) {
string s;
bool negative = 0;
if (val < 0) {
negative = 1;
val = -val;
}
while (val) {
s += '0' + int(val % 10);
val /= 10;
}
if (negative) s += "-";
reverse(all(s));
if (len(s) == 0) s = "0";
write(s);
}
};
Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);
void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
printer.write(head);
if (sizeof...(Tail)) printer.write(' ');
print(forward<Tail>(tail)...);
}
void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
scanner.read(head);
read(tail...);
}
} // namespace fastio
using fastio::print;
using fastio::flush;
using fastio::read;
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
read(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
read(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
read(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 2 "/home/maspy/compro/library/ds/segtree/dual_segtree.hpp"
template <typename Monoid>
struct Dual_SegTree {
using MA = Monoid;
using A = typename MA::value_type;
int n, log, size;
vc<A> laz;
Dual_SegTree() : Dual_SegTree(0) {}
Dual_SegTree(int n) { build(n); }
void build(int m) {
n = m;
log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
laz.assign(size << 1, MA::unit());
}
A get(int p) {
assert(0 <= p && p < n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return laz[p];
}
vc<A> get_all() {
FOR(i, size) push(i);
return {laz.begin() + size, laz.begin() + size + n};
}
void apply(int l, int r, const A& a) {
assert(0 <= l && l <= r && r <= n);
if (l == r) return;
l += size, r += size;
if (!MA::commute) {
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
}
while (l < r) {
if (l & 1) all_apply(l++, a);
if (r & 1) all_apply(--r, a);
l >>= 1, r >>= 1;
}
}
private:
void push(int k) {
if (laz[k] == MA::unit()) return;
all_apply(2 * k, laz[k]), all_apply(2 * k + 1, laz[k]);
laz[k] = MA::unit();
}
void all_apply(int k, A a) { laz[k] = MA::op(laz[k], a); }
};
#line 1 "/home/maspy/compro/library/ds/bit_vector.hpp"
struct Bit_Vector {
vc<pair<u32, u32>> dat;
Bit_Vector(int n) { dat.assign((n + 63) >> 5, {0, 0}); }
void set(int i) { dat[i >> 5].fi |= u32(1) << (i & 31); }
void build() {
FOR(i, len(dat) - 1) dat[i + 1].se = dat[i].se + popcnt(dat[i].fi);
}
// [0, k) 内の 1 の個数
int rank(int k, bool f = 1) {
auto [a, b] = dat[k >> 5];
int ret = b + popcnt(a & ((u32(1) << (k & 31)) - 1));
return (f ? ret : k - ret);
}
};
#line 2 "/home/maspy/compro/library/alg/monoid/add.hpp"
template <typename X>
struct Monoid_Add {
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return x + y; }
static constexpr X inverse(const X &x) noexcept { return -x; }
static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; }
static constexpr X unit() { return X(0); }
static constexpr bool commute = true;
};
#line 3 "/home/maspy/compro/library/ds/wavelet_matrix_sum.hpp"
// 座圧するかどうかを COMPRESS で指定する
// xor 的な使い方をする場合には、コンストラクタで log を渡すこと
template <typename T, bool COMPRESS, typename Monoid = Monoid_Add<T>>
struct Wavelet_Matrix_Sum {
using MX = Monoid;
using X = typename MX::value_type;
int N, lg;
vector<int> mid;
vector<Bit_Vector> bv;
vc<T> key;
const T INF;
const bool set_log;
vvc<X> cumsum;
Wavelet_Matrix_Sum(vc<T> A, int log = -1)
: Wavelet_Matrix_Sum([](int a) -> X { return a; }, A, log) {}
template <typename FUNC>
Wavelet_Matrix_Sum(FUNC F, vector<T> A, int log = -1)
: N(len(A)), lg(log), INF(numeric_limits<T>::max()), set_log(log != -1) {
if (COMPRESS) {
assert(!set_log);
key.reserve(N);
vc<int> I = argsort(A);
for (auto&& i: I) {
if (key.empty() || key.back() != A[i]) key.eb(A[i]);
A[i] = len(key) - 1;
}
key.shrink_to_fit();
}
if (lg == -1) lg = __lg(max<ll>(MAX(A), 1)) + 1;
mid.resize(lg);
bv.assign(lg, Bit_Vector(N));
cumsum.assign(1 + lg, vc<X>(N + 1, MX::unit()));
vc<T> A0(N), A1(N);
FOR_R(d, -1, lg) {
int p0 = 0, p1 = 0;
FOR(i, N) {
X x = F(COMPRESS ? key[A[i]] : A[i]);
cumsum[d + 1][i + 1] = MX::op(cumsum[d + 1][i], x);
}
if (d == -1) break;
FOR(i, N) {
bool f = (A[i] >> d & 1);
if (!f) A0[p0++] = A[i];
if (f) bv[d].set(i), A1[p1++] = A[i];
}
mid[d] = p0;
bv[d].build();
swap(A, A0);
FOR(i, p1) A[p0 + i] = A1[i];
}
}
// xor した結果が [a, b) に収まるものを数える
// 個数および和を返す
pair<int, X> count(int L, int R, T a, T b, T xor_val = 0) {
auto [c1, s1] = prefix_count(L, R, a, xor_val);
auto [c2, s2] = prefix_count(L, R, b, xor_val);
return {c2 - c1, MX::op(MX::inverse(s1), s2)};
}
// xor した結果が [0, x) に収まるものを数える
// 個数および和を返す
pair<int, X> prefix_count(int L, int R, T x, T xor_val = 0) {
if (xor_val != 0) assert(set_log);
x = (COMPRESS ? LB(key, x) : x);
if (x >= (1 << lg)) return {R - L, get(lg, L, R)};
int cnt = 0;
X sm = MX::unit();
FOR_R(d, lg) {
bool add = (x >> d) & 1;
bool f = ((xor_val) >> d) & 1;
int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0);
int kf = (f ? (R - L) - (r0 - l0) : (r0 - l0));
if (add) {
cnt += kf;
if (f) {
sm = MX::op(sm, get(d, L + mid[d] - l0, R + mid[d] - r0));
L = l0, R = r0;
} else {
sm = MX::op(sm, get(d, l0, r0));
L = L + mid[d] - l0, R = R + mid[d] - r0;
}
} else {
if (!f) L = l0, R = r0;
if (f) L += mid[d] - l0, R += mid[d] - r0;
}
}
return {cnt, sm};
}
// [L, R) の中で k 番目、および、下位 k 個の和
// k = R-L のときの first は、INF を返す
pair<T, X> kth(int L, int R, int k, T xor_val = 0) {
if (xor_val != 0) assert(set_log);
if (k == R - L) return {INF, get(lg, L, R)};
assert(0 <= k && k < R - L);
T ret = 0;
X sm = 0;
for (int d = lg - 1; d >= 0; --d) {
bool f = (xor_val >> d) & 1;
int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0);
int kf = (f ? (R - L) - (r0 - l0) : (r0 - l0));
if (k < kf) {
if (!f) L = l0, R = r0;
if (f) L += mid[d] - l0, R += mid[d] - r0;
} else {
k -= kf, ret |= T(1) << d;
if (f) {
sm = MX::op(sm, get(d, L + mid[d] - l0, R + mid[d] - r0));
L = l0, R = r0;
} else {
sm = MX::op(sm, get(d, l0, r0));
L = L + mid[d] - l0, R = R + mid[d] - r0;
}
}
}
if (k) sm = MX::op(sm, get(0, L, L + k));
return {(COMPRESS ? key[ret] : ret), sm};
}
// check(prefix sum) が true となる上限の最大値
template <typename F>
T max_right_value(F check, int L, int R, T xor_val = 0) {
assert(check(MX::unit()));
if (xor_val != 0) assert(set_log);
if (check(get(lg, L, R))) return INF;
T ret = 0;
X sm = MX::unit();
for (int d = lg - 1; d >= 0; --d) {
bool f = ((xor_val) >> d) & 1;
int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0);
X lo_sm = (f ? get(d, L + mid[d] - l0, R + mid[d] - r0) : get(d, l0, r0));
if (check(MX::op(sm, lo_sm))) {
sm = MX::op(sm, lo_sm);
ret |= 1 << d;
if (f) L = l0, R = r0;
if (!f) L = L + mid[d] - l0, R = R + mid[d] - r0;
} else {
if (!f) L = l0, R = r0;
if (f) L = L + mid[d] - l0, R = R + mid[d] - r0;
}
}
return (COMPRESS ? key[ret] : ret);
}
// check(prefix sum) が true となる加算個数の最大値
template <typename F>
int max_right_count(F check, int L, int R, T xor_val = 0) {
assert(check(MX::unit()));
if (xor_val != 0) assert(set_log);
if (check(get(lg, L, R))) return R - L;
int ret = 0;
X sm = MX::unit();
for (int d = lg - 1; d >= 0; --d) {
bool f = (xor_val >> d) & 1;
int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0);
int kf = (f ? (R - L) - (r0 - l0) : (r0 - l0));
X lo_sm = (f ? get(d, L + mid[d] - l0, R + mid[d] - r0) : get(d, l0, r0));
if (check(MX::op(sm, lo_sm))) {
sm = MX::op(sm, lo_sm), ret += kf;
if (f) L = l0, R = r0;
if (!f) L += mid[d] - l0, R += mid[d] - r0;
} else {
if (!f) L = l0, R = r0;
if (f) L += mid[d] - l0, R += mid[d] - r0;
}
}
ret += binary_search(
[&](int k) -> bool { return check(MX::op(sm, get(0, L, L + k))); }, 0,
R - L);
return ret;
}
private:
inline X get(int d, int L, int R) {
return MX::op(MX::inverse(cumsum[d][L]), cumsum[d][R]);
}
};
#line 5 "main.cpp"
struct Mono {
using value_type = tuple<ll, ll, ll>;
using X = value_type;
static X op(X x, X y) {
auto [ax, bx, cx] = x;
auto [ay, by, cy] = y;
return {ay * ax, ay * bx + by, ay * cx + cy};
}
static constexpr X unit() { return {1, 0, 0}; }
static constexpr bool commute = 0;
};
void solve() {
LL(Q, N);
--Q;
VEC(ll, A, Q + 1);
VEC(ll, D, N);
auto I = argsort(D);
D = rearrange(D, I);
Dual_SegTree<Mono> seg(N);
FOR(q, Q) { A[q] = A[q + 1] - A[q]; }
A.resize(Q);
for (auto&& a: A) {
seg.apply(0, N, {1, 1, -a});
int p = binary_search(
[&](int p) -> bool {
if (p == 0) return 1;
auto [a, b, c] = seg.get(p - 1);
return b * D[p - 1] + c < 0;
},
0, N + 1);
seg.apply(0, p, {0, 0, 0});
}
vi add(N);
{
auto res = seg.get_all();
FOR(i, N) {
auto [a, b, c] = res[i];
add[i] = b * D[i] + c;
}
}
vi ANS(N);
Wavelet_Matrix_Sum<ll, true, Monoid_Add<ll>> WM(A);
ll sm = SUM<ll>(A);
FOR(i, N) {
auto [cnt_lo, sum_lo] = WM.prefix_count(0, Q, D[i]);
ll cnt_hi = Q - cnt_lo;
ll sum_hi = sm - sum_lo;
ll x = sum_hi - cnt_hi * D[i];
ANS[I[i]] = x + add[i];
}
for (auto&& x: ANS) print(x);
}
signed main() {
int T = 1;
// INT(T);
FOR(T) solve();
return 0;
}