Submission #61572895
Source Code Expand
#pragma region Macros
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,mmx,abm,bmi,bmi2,popcnt,lzcnt")
#pragma GCC target("avx2") // CF, CodeChef, HOJ ではコメントアウト
#include <bits/extc++.h>
// #include <atcoder/all>
// using namespace atcoder;
using namespace std;
using namespace __gnu_pbds;
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// namespace mp = boost::multiprecision;
// using lll = mp::cpp_int;
// using lld = mp::cpp_dec_float_50; // 十進50桁. ldは19桁.
// // using lld = mp::cpp_dec_float_100;
// // using lld = mp::number<mp::cpp_dec_float<200>>;
// lld Beps = 0.00000000000000000000000000000001; // 1e-32
// const bool equals(lld a, lld b) { return mp::fabs(a - b) < Beps; }
#define pb emplace_back
#define int ll
#define endl '\n'
using ll = long long;
using ld = long double;
const ld PI = acosl(-1);
const int INF = 1 << 30;
const ll INFL = 1LL << 61;
const int MOD = 998244353;
// const int MOD = 1000000007;
const ld EPS = 1e-10;
const bool equals(ld a, ld b) { return fabs((a) - (b)) < EPS; }
const vector<int> dx = {0, 1, 0, -1, 1, 1, -1, -1, 0}; // → ↓ ← ↑ ↘ ↙ ↖ ↗ 自
const vector<int> dy = {1, 0, -1, 0, 1, -1, -1, 1, 0};
struct Edge {
using cost_type = int;
int from, to;
cost_type cost;
Edge() {}
Edge(int to, cost_type cost) : to(to), cost(cost), from(-1) {}
Edge(int from, int to, cost_type cost) : from(from), to(to), cost(cost) {}
bool operator ==(const Edge &e) {
return this->from == e.from && this->to == e.to && this->cost == e.cost;
}
bool operator !=(const Edge &e) {
return this->from != e.from or this->to != e.to or this->cost != e.cost;
}
bool operator <(const Edge &e) { return this->cost < e.cost; }
bool operator >(const Edge &e) { return this->cost > e.cost; }
};
chrono::system_clock::time_point start;
__attribute__((constructor))
void constructor() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(10);
start = chrono::system_clock::now();
}
struct RNG {
using state_type = uint32_t;
using result_type = uint32_t;
state_type x = 123456789, y = 362436039, z = 521288629, w = 88675123;
constexpr static double INV_MAX = 1.0 / 0xFFFFFFFF;
// constexpr RNG(state_type seed = 88675123): w(seed) {}
RNG() {
auto now = chrono::high_resolution_clock::now();
w = static_cast<state_type>(now.time_since_epoch().count() & 0xFFFFFFFF);
}
constexpr result_type operator()() {
state_type t = x ^ (x << 11);
x = y, y = z, z = w;
return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
}
constexpr result_type Int(state_type a) { // [0, a)
return ((uint64_t) (*this)() * a) >> 32;
}
constexpr result_type Int(state_type a, state_type b) { // [a, b]
return Int(b - a + 1) + a;
}
constexpr double prob() { // [0, 1]
return (*this)() * INV_MAX;
}
constexpr double Double(double a, double b) { // [a, b]
return prob() * (b - a) + a;
}
} rng;
namespace bit_function {
using i64 = ll;
// using i64 = uint64_t;
// bit演算, x==0の場合は例外処理した方がよさそう. 区間は [l, r)
i64 lrmask(int l, int r) { return (1LL << r) - (1LL << l); }
i64 sub_bit(i64 x, int l, int r) { i64 b = x & ((1LL << r) - (1LL << l)); return b >> l; } // r溢れ可
i64 bit_width(i64 x) { return 64 - __builtin_clzll(x) + (x == 0); }
i64 popcount(i64 x) { return __builtin_popcountll(x); }
i64 popcount(i64 x, int l, int r) { return __builtin_popcountll(sub_bit(x, l, r)); }
i64 unpopcount(i64 x) { return bit_width(x) - __builtin_popcountll(x); } // 最上位bitより下のみ
i64 unpopcount(i64 x, int l, int r) { return r - l - __builtin_popcountll(sub_bit(x, l, r)); } // 最上位bitより上も含まれうる
bool is_pow2(i64 x) { return __builtin_popcountll(x) == 1; } // xが負のときは常にfalse
bool is_pow4(i64 x) { return __builtin_popcountll(x) == 1 && __builtin_ctzll(x) % 2 == 0; }
//bool is_pow4(ll x) { return __builtin_popcountll(x) == 1 && (x&0x55555555); }
int top_bit(i64 x) { return 63 - __builtin_clzll(x);} // 2^kの位 (x > 0)
int bot_bit(i64 x) { return __builtin_ctzll(x);} // 2^kの位 (x > 0)
int next_bit(i64 x, int k) { // upper_bound
x >>= (k + 1);
int pos = k + 1;
while (x > 0) {
if (x & 1) return pos;
x >>= 1;
pos++;
}
return -1;
}
int prev_bit(i64 x, int k) {
// k = min(k, bit_width(x)); ?
int pos = 0;
while (x > 0 && pos < k) {
if (x & 1) {
if (pos < k) return pos;
}
x >>= 1;
pos++;
}
return -1;
}
int kth_bit(i64 x, int k) { // kは1-indexed
int pos = 0, cnt = 0;
while (x > 0) {
if (x & 1) {
cnt++;
if (cnt == k) return pos;
}
x >>= 1;
pos++;
}
return -1;
}
i64 msb(i64 x) { if (x == 0) return 0; return 1LL << (63 - __builtin_clzll(x)); } // mask
i64 lsb(i64 x) { return (x & -x); } // mask
int countl_zero(i64 x) { return __builtin_clzll(x); }
int countl_one(i64 x) { // countl_oneと定義が異なるので注意
i64 ret = 0, k = 63 - __builtin_clzll(x);
while (k != -1 && (x & (1LL << k))) { k--; ret++; }
return ret;
}
int countr_zero(i64 x) { return __builtin_ctzll(x); } // x=0のとき64
int countr_one(i64 x) { int ret = 0; while (x & 1) { x >>= 1; ret++; } return ret; }
// int countr_one(ll x) { return __builtin_popcount(x ^ (x & -~x));
i64 l_one(i64 x) { // 最上位で連なってる1のmask
if (x == 0) return 0;
i64 ret = 0, k = 63 - __builtin_clzll(x);
while (k != -1 && (x & (1LL << k))) { ret += 1LL << k; k--; }
return ret;
}
int floor_log2(i64 x) { return 63 - __builtin_clzll(x); } // top_bit
int ceil_log2(i64 x) { return 64 - __builtin_clzll(x - 1); }
i64 bit_floor(i64 x) { if (x == 0) return 0; return 1LL << (63 - __builtin_clzll(x)); } // msb
i64 bit_ceil(i64 x) { if (x == 0) return 0; return 1LL << (64 - __builtin_clzll(x - 1)); }
i64 rotl(i64 x, int k) { // 有効bit内でrotate. オーバーフロー注意
i64 w = bit_width(x); k %= w;
return ((x << k) | (x >> (w - k))) & ((1LL << w) - 1);
}
// i64 rotl(i64 x, i64 l, i64 m, i64 r) {}
i64 rotr(i64 x, int k) {
i64 w = bit_width(x); k %= w;
return ((x >> k) | (x << (w - k))) & ((1LL << w) - 1);
}
// i64 rotr(i64 x, i64 l, i64 m, i64 r) {}
i64 bit_reverse(i64 x) { // 有効bit内で左右反転
i64 r = 0, w = bit_width(x);
for (i64 i = 0; i < w; i++) r |= ((x >> i) & 1) << (w - i - 1);
return r;
}
// i64 bit_reverse(i64 x, int l, int r) {}
bool is_palindrome(i64 x) { return x == bit_reverse(x); }
bool is_palindrome(i64 x, int l, int r) { i64 b = sub_bit(x, l, r); return b == bit_reverse(b); }
i64 concat(i64 a, i64 b) { return (a << bit_width(b)) | b; } // オーバーフロー注意
i64 erase(i64 x, int l, int r) { return x >> r << l | x & ((1LL << l) - 1); } // [l, r) をカット
i64 hamming(i64 a, i64 b) { return __builtin_popcountll(a ^ b); }
i64 hamming(i64 a, i64 b, int l, int r) { return __builtin_popcountll(sub_bit(a, l, r) ^ sub_bit(b, l, r)); }
i64 compcount(i64 x) { return (__builtin_popcountll(x ^ (x >> 1)) + (x & 1)) / 2; }
i64 compcount2(i64 x) { return compcount(x & (x >> 1)); } // 長さ2以上の連結成分の個数
i64 adjacount(i64 x) { return __builtin_popcountll(x & (x >> 1)); } // 隣接する1のペアの個数
i64 next_combination(i64 x) {
i64 t = x | (x - 1); return (t + 1) | (((~t & -~t) - 1) >> (__builtin_ctzll(x) + 1));
}
} using namespace bit_function;
namespace util_function {
namespace Std = std;
__int128_t POW(__int128_t x, int n) {
__int128_t ret = 1;
assert(n >= 0);
if (x == 1 or n == 0) ret = 1;
else if (x == -1 && n % 2 == 0) ret = 1;
else if (x == -1) ret = -1;
else if (n % 2 == 0) {
// assert(x < INFL);
ret = POW(x * x, n / 2);
} else {
// assert(x < INFL);
ret = x * POW(x, n - 1);
}
return ret;
}
int per(int x, int y) { // x = qy + r (0 <= r < y) を満たすq
assert(y != 0);
if (x >= 0 && y > 0) return x / y;
if (x >= 0 && y < 0) return x / y - (x % y < 0);
if (x < 0 && y < 0) return x / y + (x % y < 0);
return x / y - (x % y < 0); // (x < 0 && y > 0)
}
int mod(int x, int y) { // x = qy + r (0 <= r < y) を満たすr
assert(y != 0);
return x - y * per(x, y);
} // https://yukicoder.me/problems/no/2781
int floor(int x, int y) { // (ld)x / y 以下の最大の整数
assert(y != 0);
if (y < 0) x = -x, y = -y;
return x >= 0 ? x / y : (x + 1) / y - 1;
}
int ceil(int x, int y) { // (ld)x / y 以上の最小の整数
assert(y != 0);
if (y < 0) x = -x, y = -y;
return x > 0 ? (x - 1) / y + 1 : x / y;
}
int round(int x, int y) { // (ld)x / y を小数第1位について四捨五入
assert(y != 0);
if (x*y < 0) return -((abs(x) * 2 + abs(y)) / (abs(y) * 2)); // https://www.acmicpc.net/problem/2108
return (x * 2 + y) / (y * 2);
}
int round(int x, int y, int k) { // (ld)x / y を10^kの位に関して四捨五入
assert(y != 0 && k >= 0);
if (k == 0) return (x * 2 + y) / (y * 2);
x /= y * POW(10, k - 1);
if (x % 10 >= 5) return (x + 10 - x % 10) * POW(10, k - 1);
return x * POW(10, k - 1);
}
int round2(int x, int y) { // 五捨五超入 // 未verify
assert(y != 0);
if (y < 0) y = -y, x = -x;
int z = x / y;
if ((z * 2 + 1) * y <= y * 2) z++;
return z;
}
int Floor(ld x) { // 未. 負数でも小さい��に丸める
if (x > -EPS) return (int)(floorl(x + EPS) + EPS);
return -(int)((ceill(-x - EPS)) + EPS);
}
int Ceil(ld x) { // 未. 負数でも大きい方に丸める
if (x > EPS) return (int)(ceill(x - EPS) + EPS);
return -(int)((floorl(-x + EPS)) + EPS);
}
int Round(ld x) { // 未. 負数でも.5の場合は大きい方に丸める
if (x > EPS) return (int)(Std::round(x + EPS) + EPS);
return (int)(Std::round(x + EPS) - EPS);
}
// int get(ld x, int k) { // 未. xの10^kの位の桁
// }
ld floor(ld x, int k) { // xを10^kの位に関してflooring
ld d = pow(10, -k);
return Floor(x * d) / d; // 未verify
}
ld ceil(ld x, int k) { // xを10^kの位に関してceiling
ld d = pow(10, -k);
return Ceil(x * d) / d; // 未verify
}
ld round(ld x, int k) { // xを10^kの位に関して四捨五入.
ld d = pow(10, -k);
return Round(x * d) / d;
}
// int kth(int x, int y, int k) { // x / yの10^kの位の桁
// }
int floor(ld x, ld y) { // 誤差対策TODO
assert(!equals(y, 0));
return Std::floor(x / y);
// floor(x) = ceil(x - 1) という話も
}
int ceil(ld x, ld y) { // 誤差対策TODO // ceil(p/q) = -floor(-(p/q))らしい
assert(!equals(y, 0));
return Std::ceil(x / y);
// ceil(x) = floor(x + 1)
}
int perl(ld x, ld y) { // x = qy + r (0 <= r < y, qは整数) を満たす q
// 未verify. 誤差対策TODO. EPS外してもいいかも。
assert(!equals(y, 0));
if (x >= 0 && y > 0) return Std::floor(x / y)+EPS;
if (x >= 0 && y < 0) return -Std::floor(x / fabs(y));
if (x < 0 && y < 0) return Std::floor(x / y) + (x - Std::floor(x/y)*y < -EPS);
return Std::floor(x / y) - (x - Std::floor(x/y)*y < -EPS); // (x < 0 && y > 0)
}
ld modl(ld x, ld y) { // x = qy + r (0 <= r < y, qは整数) を満たす r
// 未verify. 誤差対策TODO. -0.0が返りうる。
assert(!equals(y, 0));
if (x >= 0) return x - fabs(y)*fabs(per(x, y));
return x - fabs(y)*floor(x, fabs(y));
}
int seisuu(ld x) { return (int)x; } // 整数部分. 誤差対策TODO
int modf(ld x) {
if (x < 0) return ceill(x);
else return floorl(x);
}
// 正なら+EPS, 負なら-EPSしてから、文字列に直して小数点以下を捨てる?
int seisuu(int x, int y) {
assert(y != 0);
return x / y;
}
int seisuu(ld x, ld y) { // 誤差対策TODO
assert(!equals(y, 0));
return (int)(x / y);
}
int floor_log(int base, int x) { // log_base{x} のfloor
assert(base >= 2);
int ret = 0, now = 1;
while (now <= x) {
now *= base;
if (now <= x) ret++;
}
return ret;
}
int ceil_log(int base, int x) { // log_base{x} のceil
assert(base >= 2);
int ret = 0, now = 1;
while (now < x) {
now *= base;
ret++;
}
return ret;
}
template <class T> pair<T, T> max(const pair<T, T> &a, const pair<T, T> &b) {
if (a.first > b.first or a.first == b.first && a.second > b.second) return a;
return b;
}
template <class T> pair<T, T> min(const pair<T, T> &a, const pair<T, T> &b) {
if (a.first < b.first or a.first == b.first && a.second < b.second) return a;
return b;
}
template <class T> bool chmax(T &a, const T &b) {
if (a < b) { a = b; return true; } return false;
}
template <class T> bool chmin(T &a, const T &b) {
if (a > b) { a = b; return true; } return false;
}
template <class T> bool chmax(pair<T, T> &a, const pair<T, T> &b) {
if (a.first < b.first or a.first == b.first && a.second < b.second) { a = b; return true; }
return false;
}
template <class T> bool chmin(pair<T, T> &a, const pair<T, T> &b) {
if (a.first > b.first or a.first == b.first && a.second > b.second) { a = b; return true; }
return false;
}
template <class T> T mid(T a, T b, T c) { // 誤差対策TODO
return a + b + c - Std::max({a, b, c}) - Std::min({a, b, c});
}
template <typename T, typename... Args>
void Sort(T& a, T& b, T& c, Args&... args) {
vector<T> vec = {a, b, c, args...};
sort(vec.begin(), vec.end());
auto it = vec.begin();
a = *it++; b = *it++; c = *it++;
int dummy[] = { (args = *it++, 0)... };
static_cast<void>(dummy);
}
template <typename T, typename... Args>
void Sortr(T& a, T& b, T& c, Args&... args) {
vector<T> vec = {a, b, c, args...};
sort(vec.rbegin(), vec.rend());
auto it = vec.begin();
a = *it++; b = *it++; c = *it++;
int dummy[] = { (args = *it++, 0)... };
static_cast<void>(dummy);
}
template <class T>
void sort(vector<T> &A, vector<T> &B) {
vector<pair<T, T>> P(A.size());
for (int i = 0; i < A.size(); i++) P[i] = {A[i], B[i]};
sort(P.begin(), P.end());
for (int i = 0; i < A.size(); i++) A[i] = P[i].first, B[i] = P[i].second;
}
template <class T>
void unique(vector<T> &A, vector<T> &B) {
vector<T> A2, B2;
A2.reserve(A.size()); B2.reserve(B.size());
for (int i = 0; i < A.size(); i++) {
if (i == 0 or A[i] != A[i - 1] or B[i] != B[i - 1]) {
A2.push_back(A[i]);
B2.push_back(B[i]);
}
}
}
istream &operator >>(istream &is, __int128_t& x) {
string S; is >> S;
__int128_t ret = 0;
int f = 1;
if (S[0] == '-') f = -1;
for (int i = 0; i < S.length(); i++)
if ('0' <= S[i] && S[i] <= '9')
ret = ret * 10 + S[i] - '0';
x = ret * f;
return (is);
}
ostream &operator <<(ostream &os, __int128_t x) {
ostream::sentry s(os);
if (s) {
__uint128_t tmp = x < 0 ? -x : x;
char buffer[128]; char *d = end(buffer);
do {
--d; *d = "0123456789"[tmp % 10]; tmp /= 10;
} while (tmp != 0);
if (x < 0) { --d; *d = '-'; }
int len = end(buffer) - d;
if (os.rdbuf()->sputn(d, len) != len) os.setstate(ios_base::badbit);
}
return os;
}
__int128_t sto128(const string &S) {
__int128_t ret = 0; int f = 1;
if (S[0] == '-') f = -1;
for (int i = 0; i < S.length(); i++)
if ('0' <= S[i] && S[i] <= '9') ret = ret * 10 + S[i] - '0';
return ret * f;
}
__int128_t gcd(__int128_t a, __int128_t b) { return b ? gcd(b, a % b) : a; }
__int128_t lcm(__int128_t a, __int128_t b) {
return a / gcd(a, b) * b;
// lcmが__int128_tに収まる必要あり
}
string to_string(double x, int k) { // 小数第k+1を四捨五入して小数第k位までを出力
// 切り捨てがほしい場合は to_string(x, k+1) として pop_back() すればよい?
ostringstream os;
os << fixed << setprecision(k) << x;
return os.str();
}
string to_string(__int128_t x) {
string ret = "";
if (x < 0) { ret += "-"; x *= -1; }
while (x) { ret += (char)('0' + x % 10); x /= 10; }
reverse(ret.begin(), ret.end());
return ret;
}
string to_string(char c) { string s = ""; s += c; return s; }
} using namespace util_function;
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
template<class T> size_t HashCombine(const size_t seed,const T &v) {
return seed^(hash<T>()(v)+0x9e3779b9+(seed<<6)+(seed>>2));
}
template<class T,class S> struct hash<pair<T,S>>{
size_t operator()(const pair<T,S> &keyval) const noexcept {
return HashCombine(hash<T>()(keyval.first), keyval.second);
}
};
template<class T> struct hash<vector<T>>{
size_t operator()(const vector<T> &keyval) const noexcept {
size_t s=0;
for (auto&& v: keyval) s=HashCombine(s,v);
return s;
}
};
template<int N> struct HashTupleCore{
template<class Tuple> size_t operator()(const Tuple &keyval) const noexcept{
size_t s=HashTupleCore<N-1>()(keyval);
return HashCombine(s,get<N-1>(keyval));
}
};
template <> struct HashTupleCore<0>{
template<class Tuple> size_t operator()(const Tuple &keyval) const noexcept{ return 0; }
};
template<class... Args> struct hash<tuple<Args...>>{
size_t operator()(const tuple<Args...> &keyval) const noexcept {
return HashTupleCore<tuple_size<tuple<Args...>>::value>()(keyval);
}
};
template<typename T>
class Compress {
public:
int sz = 0;
vector<T> uniqV;
Compress() {}
template<typename... Vecs>
Compress(const Vecs&... vecs) {
(uniqV.insert(uniqV.end(), vecs.begin(), vecs.end()), ...);
sort(uniqV.begin(), uniqV.end());
uniqV.erase(unique(uniqV.begin(), uniqV.end()), uniqV.end());
sz = uniqV.size();
}
vector<int> zip(const vector<T> &V) {
vector<int> ret(V.size());
for (int i = 0; i < V.size(); i++) {
ret[i] = encode(V[i]);
}
return ret;
}
vector<T> unzip(const vector<int> &V) {
vector<T> ret(V.size());
for (int i = 0; i < V.size(); i++) {
ret[i] = decode(V[i]);
}
return ret;
}
int size() { return sz; }
int encode(T x) {
auto it = lower_bound(uniqV.begin(), uniqV.end(), x);
return it - uniqV.begin();
}
T decode(int x) {
if (x < 0 or x >= uniqV.size()) return -1; // xが範囲外の場合
return uniqV[x];
}
};
class UnionFind {
public:
UnionFind() = default;
UnionFind(int N) : par(N), sz(N, 1) {
iota(par.begin(), par.end(), 0);
}
int root(int x) {
if (par[x] == x) return x;
return (par[x] = root(par[x]));
}
bool unite(int x, int y) {
int rx = root(x);
int ry = root(y);
if (rx == ry) return false;
if (sz[rx] < sz[ry]) swap(rx, ry);
sz[rx] += sz[ry];
par[ry] = rx;
return true;
}
bool issame(int x, int y) { return (root(x) == root(y)); }
int size(int x) { return sz[root(x)]; }
vector<vector<int>> groups(int N) {
vector<vector<int>> G(N);
for (int x = 0; x < N; x++) {
G[root(x)].push_back(x);
}
G.erase( remove_if(G.begin(), G.end(),
[&](const vector<int>& V) { return V.empty(); }), G.end());
return G;
}
private:
vector<int> par, sz;
};
template<typename T> struct BIT {
int N;
vector<T> bit[2];
BIT(int N_, int x = 0) : N(N_ + 1) {
bit[0].assign(N, 0); bit[1].assign(N, 0);
if (x != 0)
for (int i = 0; i < N; i++) add(i, x);
}
BIT(const vector<T> &A) : N(A.size() + 1) {
bit[0].assign(N, 0); bit[1].assign(N, 0);
for (int i = 0; i < (int)A.size(); i++) add(i, A[i]);
}
void add_sub(int p, int i, T x) {
while (i < N) { bit[p][i] += x; i += (i & -i); }
}
void add(int l, int r, T x) {
add_sub(0, l + 1, -x * l); add_sub(0, r + 1, x * r);
add_sub(1, l + 1, x); add_sub(1, r + 1, -x);
}
void add(int i, T x) { add(i, i + 1, x); }
T sum_sub(int p, int i) {
T ret = T(0);
while (i > 0) { ret += bit[p][i]; i -= (i & -i); }
return ret;
}
T sum(int i) { return sum_sub(0, i) + sum_sub(1, i) * i; }
T sum(int l, int r) { return sum(r) - sum(l); }
T get(int i) { return sum(i, i + 1); }
void set(int i, T x) { T s = get(i); add(i, -s + x); }
};
template<int mod> class Modint {
public:
int val = 0;
Modint(int x = 0) { while (x < 0) x += mod; val = x % mod; }
Modint(const Modint &r) { val = r.val; }
Modint operator -() { return Modint(-val); } // 単項
Modint operator +(const Modint &r) { return Modint(*this) += r; }
Modint operator +(const int &q) { Modint r(q); return Modint(*this) += r; }
Modint operator -(const Modint &r) { return Modint(*this) -= r; }
Modint operator -(const int &q) { Modint r(q); return Modint(*this) -= r; }
Modint operator *(const Modint &r) { return Modint(*this) *= r; }
Modint operator *(const int &q) { Modint r(q); return Modint(*this) *= r; }
Modint operator /(const Modint &r) { return Modint(*this) /= r; }
Modint operator /(const int &q) { Modint r(q); return Modint(*this) /= r; }
Modint& operator ++() { val++; if (val >= mod) val -= mod; return *this; } // 前置
Modint operator ++(signed) { ++*this; return *this; } // 後置
Modint& operator --() { val--; if (val < 0) val += mod; return *this; }
Modint operator --(signed) { --*this; return *this; }
Modint &operator +=(const Modint &r) { val += r.val; if (val >= mod) val -= mod; return *this; }
Modint &operator +=(const int &q) { Modint r(q); val += r.val; if (val >= mod) val -= mod; return *this; }
Modint &operator -=(const Modint &r) { if (val < r.val) val += mod; val -= r.val; return *this; }
Modint &operator -=(const int &q) { Modint r(q); if (val < r.val) val += mod; val -= r.val; return *this; }
Modint &operator *=(const Modint &r) { val = val * r.val % mod; return *this; }
Modint &operator *=(const int &q) { Modint r(q); val = val * r.val % mod; return *this; }
Modint &operator /=(const Modint &r) {
int a = r.val, b = mod, u = 1, v = 0;
while (b) {int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v);}
val = val * u % mod; if (val < 0) val += mod;
return *this;
}
Modint &operator /=(const int &q) {
Modint r(q); int a = r.val, b = mod, u = 1, v = 0;
while (b) {int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v);}
val = val * u % mod; if (val < 0) val += mod;
return *this;
}
bool operator ==(const Modint& r) { return this -> val == r.val; }
bool operator !=(const Modint& r) { return this -> val != r.val; }
bool operator <(const Modint& r) { return this -> val < r.val; }
bool operator >(const Modint& r) { return this -> val > r.val; }
friend istream &operator >>(istream &is, Modint& x) {
int t; is >> t; x = t; return (is);
}
friend ostream &operator <<(ostream &os, const Modint& x) {
return os << x.val;
}
};
using mint = Modint<MOD>;
mint modpow(const mint &x, int n) {
if (n < 0) return (mint)1 / modpow(x, -n); // 未verify
assert(n >= 0);
if (n == 0) return 1;
mint t = modpow(x, n / 2);
t = t * t;
if (n & 1) t = t * x;
return t;
}
int modpow(__int128_t x, int n, int mod) {
if (n == 0 && mod == 1) return 0;
assert(n >= 0 && mod > 0); // TODO: n <= -1
__int128_t ret = 1;
while (n > 0) {
if (n % 2 == 1) ret = ret * x % mod;
x = x * x % mod;
n /= 2;
}
return ret;
}
// int modinv(__int128_t x, int mod) { //
// assert(mod > 0);
// // assert(x > 0);
// if (x == 1 or x == 0) return 1;
// return mod - modinv(mod % x, mod) * (mod / x) % mod;
// }
vector<mint> _fac, _finv, _inv;
void COMinit(int N) {
_fac.resize(N + 1); _finv.resize(N + 1); _inv.resize(N + 1);
_fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
for (int i = 2; i <= N; i++) {
_fac[i] = _fac[i-1] * mint(i);
_inv[i] = -_inv[MOD % i] * mint(MOD / i);
_finv[i] = _finv[i - 1] * _inv[i];
}
}
mint FAC(int N) {
if (N < 0) return 0; return _fac[N];
}
mint FACinv(int N) {
if (N < 0) return 0; return _finv[N];
}
mint COM(int N, int K) {
if (N < K) return 0; if (N < 0 or K < 0) return 0;
return _fac[N] * _finv[K] * _finv[N - K];
}
mint COMinv(int N, int K) {
if (N < K) return 0; if (N < 0 or K < 0) return 0;
return _finv[N] * _fac[K] * _fac[N - K];
}
mint MCOM(const vector<int> &V) {
int N = 0;
for (int i = 0; i < V.size(); i++) N += V[i];
mint ret = _fac[N];
for (int i = 0; i < V.size(); i++) ret *= _finv[V[i]];
return ret;
}
mint PERM(int N, int K) {
if (N < K) return 0; if (N < 0 or K < 0) return 0;
return _fac[N] * _finv[N - K];
}
mint NHK(int N, int K) { // initのサイズに注意
if (N == 0 && K == 0) return 1;
return COM(N + K - 1, K);
}
#pragma endregion
struct MST {
multiset<int> st;
int os = 0;
bool insert(int x) {
st.emplace(x - os);
return true;
}
int front() {
return *st.begin() + os;
}
void add(int x) {
os += x;
}
void pop_front() {
st.erase(st.find(*st.begin()));
}
int size() { return st.size(); }
};
signed main() {
int N;
cin >> N;
vector<int> A(N);
for (int i = 0; i < N; i++) cin >> A[i];
vector<int> ans(N);
MST st;
for (int i = 0; i < N; i++) {
ans[i] = A[i] + st.size();
st.add(-1);
while (st.size() && st.front() <= 0) {
st.pop_front();
}
if (ans[i] > 0) st.insert(ans[i]);
ans[i] = max(0LL, ans[i] - (N - i - 1));
// for (auto &x : st.st) cout << x <<" ";
// cout << endl;
}
for (int i = 0; i < (int)ans.size(); i++) {
cout << ans[i] << (i != (int)ans.size() - 1 ? " " : "\n");
}
}
Submission Info
Compile Error
Main.cpp:1: warning: ignoring ‘#pragma region Macros’ [-Wunknown-pragmas]
1 | #pragma region Macros
|
Main.cpp:744: warning: ignoring ‘#pragma endregion ’ [-Wunknown-pragmas]
744 | #pragma endregion
|
Main.cpp:36:1: warning: type qualifiers ignored on function return type [-Wignored-qualifiers]
36 | const bool equals(ld a, ld b) { return fabs((a) - (b)) < EPS; }
| ^~~~~
Main.cpp: In constructor ‘Edge::Edge(ll, cost_type)’:
Main.cpp:44:15: warning: ‘Edge::cost’ will be initialized after [-Wreorder]
44 | cost_type cost;
| ^~~~
Main.cpp:43:9: warning: ‘ll Edge::from’ [-Wreorder]
43 | int from, to;
| ^~~~
Main.cpp:46:5: warning: when initialized here [-Wreorder]
46 | Edge(int to, cost_type cost) : to(to), cost(cost), from(-1) {}
| ^~~~
Main.cpp: In function ‘bit_function::i64 bit_function::erase(i64, ll, ll)’:
Main.cpp:196:61: warning: suggest parentheses around arithmetic in operand of ‘|’ [-Wparentheses]
196 | i64 erase(i64 x, int l, int r) { return x >> r << l | x & ((1LL << l) - 1); } // [l, r) をカット
| ~~^~~~~~~~~~~~~~~~~~
Main.cpp: In function ‘std::istream& util_function::operator>>(std::istream&, __int128&)’:
Main.cpp:420:27: warning: comparison of integer expressions of different signedness: ‘ll’ {aka ‘long long int’} and ‘std::__cxx11::basic_string<char>::size_type’ {aka ‘long unsigned int’} [-Wsign-compare]
420 | for (int i = 0; i < S.length(); i++)
| ~~^~~~~~~~~~~~
Main.cpp: In function ‘__int128 util_function::sto128(const std::string&)’:
Main.cpp:444:27: warning: comparison of integer expressions of different signedness: ‘ll’ {aka ‘long long int’} and ‘std::__cxx11::basic_string<char>::size_type’ {aka ‘long unsigned int’} [-Wsign-compare]
444 | for (int i = 0; i < S.length(); i++)
| ~~^~~~~~~~~~~~
Main.cpp: In function ‘mint modpow(const mint&, ll)’:
Main.cpp:681:13: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
681 | t = t * t;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:682:24: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
682 | if (n & 1) t = t * x;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp: In function ‘void COMinit(ll)’:
Main.cpp:706:25: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
706 | _fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:706:25: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
706 | _fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:706:50: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
706 | _fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:706:50: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
706 | _fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:706:63: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
706 | _fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:708:37: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
708 | _fac[i] = _fac[i-1] * mint(i);
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:709:48: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
709 | _inv[i] = -_inv[MOD % i] * mint(MOD / i);
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp:710:41: warning: implicitly-declared ‘constexpr Modint<998244353>& Modint<998244353>::operator=(const Modint<998244353>&)’ is deprecated [-Wdeprecated-copy]
710 | _finv[i] = _finv[i - 1] * _inv[i];
| ^
Main.cpp:628:5: note: because ‘Modint<998244353>’ has user-provided ‘Modint<mod>::Modint(const Modint<mod>&) [with long long int mod = 998244353]’
628 | Modint(const Modint &r) { val = r.val; }
| ^~~~~~
Main.cpp: In function ‘mint FAC(ll)’:
Main.cpp:715:5: warning: this ‘if’ clause does not guard... [-Wmisleading-indentation]
715 | if (N < 0) return 0; return _fac[N];
| ^~
Main.cpp:715:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘if’
715 | if (N < 0) return 0; return _fac[N];
| ^~~~~~
Main.cpp: In function ‘mint FACinv(ll)’:
Main.cpp:718:5: warning: this ‘if’ clause does not guard... [-Wmisleading-indentation]
718 | if (N < 0) return 0; return _finv[N];
| ^~
Main.cpp:718:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘if’
718 | if (N < 0) return 0; return _finv[N];
| ^~~~~~
Main.cpp: In function ‘mint COM(ll, ll)’:
Main.cpp:721:5: warning: this ‘if’ clause does not guard... [-Wmisleading-indentation]
721 | if (N < K) return 0; if (N < 0 or K < 0) return 0;
| ^~
Main.cpp:721:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘if’
721 | if (N < K) return 0; if (N < 0 or K < 0) return 0;
| ^~
Main.cpp: In function ‘mint COMinv(ll, ll)’:
Main.cpp:725:5: warning: this ‘if’ clause does not guard... [-Wmisleading-indentation]
725 | if (N < K) return 0; if (N < 0 or K < 0) return 0;
| ^~
Main.cpp:725:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘if’
725 | if (N < K) return 0; if (N < 0 or K < 0) return 0;
| ^~
Main.cpp: In function ‘mint MCOM(const std::vector<long long int>&)’:
Main.cpp:730:23: warning: comparison of integer expressions of different signedness: ‘ll’ {aka ‘long long int’} and ‘std::vector<long long int>::size_type’ {aka ‘long unsigned int’} [-Wsign-compare]
730 | for (int i = 0; i < V.size(); i++) N += V[i];
| ~~^~~~~~~~~~
Main.cpp:732:23: warning: comparison of integer expressions of different signedness: ‘ll’ {aka ‘long long int’} and ‘std::vector<long long int>::size_type’ {aka ‘long unsigned int’} [-Wsign-compare]
732 | for (int i = 0; i < V.size(); i++) ret *= _finv[V[i]];
| ~~^~~~~~~~~~
Main.cpp: In function ‘mint PERM(ll, ll)’:
Main.cpp:736:5: warning: this ‘if’ clause does not guard... [-Wmisleading-indentation]
736 | if (N < K) return 0; if (N < 0 or K < 0) return 0;
| ^~
Main.cpp:736:26: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the ‘if’
736 | if (N < K) return 0; if (N < 0 or K < 0) return 0;
| ^~
Judge Result
| Set Name |
Sample |
All |
| Score / Max Score |
0 / 0 |
400 / 400 |
| Status |
|
|
| Set Name |
Test Cases |
| Sample |
sample00.txt, sample01.txt, sample02.txt |
| All |
sample00.txt, sample01.txt, sample02.txt, testcase00.txt, testcase01.txt, testcase02.txt, testcase03.txt, testcase04.txt, testcase05.txt, testcase06.txt, testcase07.txt, testcase08.txt, testcase09.txt, testcase10.txt, testcase11.txt, testcase12.txt, testcase13.txt, testcase14.txt, testcase15.txt, testcase16.txt, testcase17.txt, testcase18.txt, testcase19.txt |
| Case Name |
Status |
Exec Time |
Memory |
| sample00.txt |
AC |
1 ms |
3628 KiB |
| sample01.txt |
AC |
1 ms |
3536 KiB |
| sample02.txt |
AC |
1 ms |
3620 KiB |
| testcase00.txt |
AC |
1 ms |
3636 KiB |
| testcase01.txt |
AC |
38 ms |
11052 KiB |
| testcase02.txt |
AC |
154 ms |
35132 KiB |
| testcase03.txt |
AC |
242 ms |
24872 KiB |
| testcase04.txt |
AC |
337 ms |
28424 KiB |
| testcase05.txt |
AC |
62 ms |
11100 KiB |
| testcase06.txt |
AC |
341 ms |
28328 KiB |
| testcase07.txt |
AC |
247 ms |
24244 KiB |
| testcase08.txt |
AC |
325 ms |
28336 KiB |
| testcase09.txt |
AC |
283 ms |
25040 KiB |
| testcase10.txt |
AC |
330 ms |
28448 KiB |
| testcase11.txt |
AC |
97 ms |
14808 KiB |
| testcase12.txt |
AC |
310 ms |
28424 KiB |
| testcase13.txt |
AC |
156 ms |
20316 KiB |
| testcase14.txt |
AC |
316 ms |
28448 KiB |
| testcase15.txt |
AC |
17 ms |
6640 KiB |
| testcase16.txt |
AC |
306 ms |
28460 KiB |
| testcase17.txt |
AC |
247 ms |
25032 KiB |
| testcase18.txt |
AC |
55 ms |
14048 KiB |
| testcase19.txt |
AC |
35 ms |
10512 KiB |