結果
| 問題 | No.1675 Strange Minimum Query |
| ユーザー |
 Pachicobue
|
| 提出日時 | 2021-09-10 23:11:21 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 28,663 bytes |
| コンパイル時間 | 2,885 ms |
| コンパイル使用メモリ | 229,224 KB |
| 実行使用メモリ | 20,536 KB |
| 最終ジャッジ日時 | 2024-06-12 03:39:53 |
| 合計ジャッジ時間 | 9,922 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
（要ログイン）
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
6,812 KB |
| testcase_01 | AC | 2 ms
6,812 KB |
| testcase_02 | AC | 2 ms
6,944 KB |
| testcase_03 | AC | 118 ms
8,120 KB |
| testcase_04 | AC | 108 ms
12,188 KB |
| testcase_05 | AC | 17 ms
10,284 KB |
| testcase_06 | AC | 137 ms
8,696 KB |
| testcase_07 | AC | 150 ms
12,860 KB |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
| testcase_10 | WA | - |
| testcase_11 | WA | - |
| testcase_12 | WA | - |
| testcase_13 | AC | 110 ms
20,280 KB |
| testcase_14 | AC | 132 ms
20,424 KB |
| testcase_15 | AC | 113 ms
20,408 KB |
| testcase_16 | AC | 2 ms
6,940 KB |
| testcase_17 | AC | 26 ms
7,176 KB |
| testcase_18 | AC | 36 ms
7,600 KB |
| testcase_19 | WA | - |
| testcase_20 | WA | - |
| testcase_21 | WA | - |
| testcase_22 | AC | 128 ms
19,056 KB |
| testcase_23 | AC | 97 ms
9,444 KB |
| testcase_24 | AC | 90 ms
12,488 KB |
| testcase_25 | AC | 65 ms
8,480 KB |
| testcase_26 | WA | - |
| testcase_27 | AC | 89 ms
18,060 KB |
| testcase_28 | WA | - |
| testcase_29 | WA | - |
| testcase_30 | WA | - |
| testcase_31 | AC | 125 ms
12,676 KB |
| testcase_32 | AC | 168 ms
20,536 KB |
| testcase_33 | AC | 164 ms
20,408 KB |
| testcase_34 | AC | 168 ms
20,408 KB |
| testcase_35 | AC | 170 ms
20,536 KB |
| testcase_36 | AC | 172 ms
20,408 KB |
ソースコード
#include <bits/stdc++.h>
#pragma region Header
using i32 = int;
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
using f64 = double;
using f80 = long double;
using f128 = __float128;
constexpr i32 operator"" _i32(u64 v)
{
return v;
}
constexpr i32 operator"" _u32(u64 v)
{
return v;
}
constexpr i64 operator"" _i64(u64 v)
{
return v;
}
constexpr u64 operator"" _u64(u64 v)
{
return v;
}
constexpr f64 operator"" _f64(f80 v)
{
return v;
}
constexpr f80 operator"" _f80(f80 v)
{
return v;
}
using Istream = std::istream;
using Ostream = std::ostream;
using Str = std::string;
template<typename T>
using Lt = std::less<T>;
template<typename T>
using Gt = std::greater<T>;
template<typename T>
using IList = std::initializer_list<T>;
template<int n>
using BSet = std::bitset<n>;
template<typename T1, typename T2>
using Pair = std::pair<T1, T2>;
template<typename... Ts>
using Tup = std::tuple<Ts...>;
template<typename T, int N>
using Arr = std::array<T, N>;
template<typename... Ts>
using Deq = std::deque<Ts...>;
template<typename... Ts>
using Set = std::set<Ts...>;
template<typename... Ts>
using MSet = std::multiset<Ts...>;
template<typename... Ts>
using USet = std::unordered_set<Ts...>;
template<typename... Ts>
using UMSet = std::unordered_multiset<Ts...>;
template<typename... Ts>
using Map = std::map<Ts...>;
template<typename... Ts>
using MMap = std::multimap<Ts...>;
template<typename... Ts>
using UMap = std::unordered_map<Ts...>;
template<typename... Ts>
using UMMap = std::unordered_multimap<Ts...>;
template<typename... Ts>
using Vec = std::vector<Ts...>;
template<typename... Ts>
using Stack = std::stack<Ts...>;
template<typename... Ts>
using Queue = std::queue<Ts...>;
template<typename T>
using MaxHeap = std::priority_queue<T>;
template<typename T>
using MinHeap = std::priority_queue<T, Vec<T>, Gt<T>>;
using NSec = std::chrono::nanoseconds;
using USec = std::chrono::microseconds;
using MSec = std::chrono::milliseconds;
using Sec = std::chrono::seconds;
template<typename T>
constexpr T LIMMIN = std::numeric_limits<T>::min();
template<typename T>
constexpr T LIMMAX = std::numeric_limits<T>::max();
template<typename T>
constexpr T INF = (LIMMAX<T> - 1) / 2;
template<typename T>
constexpr T PI = T{3.141592653589793238462643383279502884};
template<typename T = u64>
constexpr T TEN(const int n)
{
return n == 0 ? T{1} : TEN<T>(n - 1) * T{10};
}
Ostream& operator<<(Ostream& os, i128 v)
{
bool minus = false;
if (v < 0) { minus = true, v = -v; }
Str ans;
if (v == 0) { ans = "0"; }
while (v) {
ans.push_back('0' + v % 10), v /= 10;
}
std::reverse(ans.begin(), ans.end());
return os << (minus ? "-" : "") << ans;
}
Ostream& operator<<(Ostream& os, u128 v)
{
Str ans;
if (v == 0) { ans = "0"; }
while (v) {
ans.push_back('0' + v % 10), v /= 10;
}
std::reverse(ans.begin(), ans.end());
return os << ans;
}
template<typename T>
bool chmin(T& a, const T& b)
{
if (a > b) {
a = b;
return true;
} else {
return false;
}
}
template<typename T>
bool chmax(T& a, const T& b)
{
if (a < b) {
a = b;
return true;
} else {
return false;
}
}
template<typename T>
constexpr T floorDiv(T x, T y)
{
if (y < T{}) { x = -x, y = -y; }
return x >= T{} ? x / y : (x - y + 1) / y;
}
template<typename T>
constexpr T ceilDiv(T x, T y)
{
if (y < T{}) { x = -x, y = -y; }
return x >= T{} ? (x + y - 1) / y : x / y;
}
template<typename T, typename I>
constexpr T modPower(T v, I n, T mod)
{
T ans = 1 % mod;
for (; n > 0; n >>= 1, (v *= v) %= mod) {
if (n % 2 == 1) { (ans *= v) %= mod; }
}
return ans;
}
template<typename T, typename I>
constexpr T power(T v, I n)
{
T ans = 1;
for (; n > 0; n >>= 1, v *= v) {
if (n % 2 == 1) { ans *= v; }
}
return ans;
}
template<typename T, typename I>
constexpr T power(T v, I n, const T& e)
{
T ans = e;
for (; n > 0; n >>= 1, v *= v) {
if (n % 2 == 1) { ans *= v; }
}
return ans;
}
template<typename T>
Vec<T> operator+=(Vec<T>& vs1, const Vec<T>& vs2)
{
vs1.insert(vs1.end(), vs2.begin(), vs2.end());
return vs1;
}
template<typename T>
Vec<T> operator+(const Vec<T>& vs1, const Vec<T>& vs2)
{
auto vs = vs1;
vs += vs2;
return vs;
}
template<typename T>
void fillAll(Vec<T>& vs, const T& v)
{
std::fill(vs.begin(), vs.end(), v);
}
template<typename T, typename C = Lt<T>>
void sortAll(Vec<T>& vs, C comp = C{})
{
std::sort(vs.begin(), vs.end(), comp);
}
template<typename T>
void reverseAll(Vec<T>& vs)
{
std::reverse(vs.begin(), vs.end());
}
template<typename T>
void uniqueAll(Vec<T>& vs)
{
sortAll(vs);
vs.erase(std::unique(vs.begin(), vs.end()), vs.end());
}
template<typename T, typename V = T>
V sumAll(const Vec<T>& vs)
{
return std::accumulate(vs.begin(), vs.end(), V{});
}
template<typename T>
int minInd(const Vec<T>& vs)
{
return std::min_element(vs.begin(), vs.end()) - vs.begin();
}
template<typename T>
int maxInd(const Vec<T>& vs)
{
return std::max_element(vs.begin(), vs.end()) - vs.begin();
}
template<typename T>
int lbInd(const Vec<T>& vs, const T& v)
{
return std::lower_bound(vs.begin(), vs.end(), v) - vs.begin();
}
template<typename T>
int ubInd(const Vec<T>& vs, const T& v)
{
return std::upper_bound(vs.begin(), vs.end(), v) - vs.begin();
}
template<typename T, typename F>
Vec<T> genVec(int n, F gen)
{
Vec<T> ans;
std::generate_n(std::back_insert_iterator(ans), n, gen);
return ans;
}
Vec<int> iotaVec(int n, int offset = 0)
{
Vec<int> ans(n);
std::iota(ans.begin(), ans.end(), offset);
return ans;
}
template<typename T>
Vec<T> revVec(const Vec<T>& vs)
{
auto ans = vs;
reverseAll(ans);
return ans;
}
constexpr int popcount(const u64 v)
{
return v ? __builtin_popcountll(v) : 0;
}
constexpr int log2p1(const u64 v)
{
return v ? 64 - __builtin_clzll(v) : 0;
}
constexpr int lsbp1(const u64 v)
{
return __builtin_ffsll(v);
}
constexpr int clog(const u64 v)
{
return v ? log2p1(v - 1) : 0;
}
constexpr u64 ceil2(const u64 v)
{
const int l = clog(v);
return (l == 64) ? 0_u64 : (1_u64 << l);
}
constexpr u64 floor2(const u64 v)
{
return v ? (1_u64 << (log2p1(v) - 1)) : 0_u64;
}
constexpr bool ispow2(const u64 v)
{
return (v > 0) and ((v & (v - 1)) == 0);
}
constexpr bool btest(const u64 mask, const int ind)
{
return (mask >> ind) & 1_u64;
}
template<typename F>
struct Fix : F
{
Fix(F&& f) : F{std::forward<F>(f)} {}
template<typename... Args>
auto operator()(Args&&... args) const
{
return F::operator()(*this, std::forward<Args>(args)...);
}
};
class irange
{
private:
struct itr
{
itr(i64 start = 0, i64 step = 1) : m_cnt{start}, m_step{step} {}
bool operator!=(const itr& it) const
{
return m_cnt != it.m_cnt;
}
int operator*()
{
return m_cnt;
}
itr& operator++()
{
m_cnt += m_step;
return *this;
}
i64 m_cnt, m_step;
};
i64 m_start, m_end, m_step;
public:
irange(i64 start, i64 end, i64 step = 1)
{
assert(step != 0);
const i64 d = std::abs(step);
const i64 l = (step > 0 ? start : end);
const i64 r = (step > 0 ? end : start);
int n = (r - l) / d + ((r - l) % d ? 1 : 0);
if (l >= r) { n = 0; }
m_start = start;
m_end = start + step * n;
m_step = step;
}
itr begin() const
{
return itr{m_start, m_step};
}
itr end() const
{
return itr{m_end, m_step};
}
};
irange rep(int end)
{
return irange(0, end, 1);
}
irange per(int rend)
{
return irange(rend - 1, -1, -1);
}
#pragma COMMENT("[REFS] Xoshiro: https://prng.di.unimi.it")
namespace xoshiro_impl {
u64 x;
u64 next()
{
uint64_t z = (x += 0x9e3779b97f4a7c15);
z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9;
z = (z ^ (z >> 27)) * 0x94d049bb133111eb;
return z ^ (z >> 31);
}
}
class Xoshiro32
{
public:
using result_type = u32;
using T = result_type;
Xoshiro32(T seed = 0)
{
xoshiro_impl::x = seed;
s[0] = xoshiro_impl::next();
s[1] = xoshiro_impl::next();
s[2] = xoshiro_impl::next();
s[3] = xoshiro_impl::next();
}
static constexpr T min()
{
return LIMMIN<T>;
}
static constexpr T max()
{
return LIMMAX<T>;
}
T operator()()
{
return next();
}
private:
static constexpr T rotl(const T x, int k)
{
return (x << k) | (x >> (32 - k));
}
T next()
{
const T ans = rotl(s[1] * 5, 7) * 9;
const T t = s[1] << 9;
s[2] ^= s[0];
s[3] ^= s[1];
s[1] ^= s[2];
s[0] ^= s[3];
s[2] ^= t;
s[3] = rotl(s[3], 11);
return ans;
}
T s[4];
};
class Xoshiro64
{
public:
using result_type = u64;
using T = result_type;
Xoshiro64(T seed = 0)
{
xoshiro_impl::x = seed;
s[0] = xoshiro_impl::next();
s[1] = xoshiro_impl::next();
s[2] = xoshiro_impl::next();
s[3] = xoshiro_impl::next();
}
static constexpr T min()
{
return LIMMIN<T>;
}
static constexpr T max()
{
return LIMMAX<T>;
}
T operator()()
{
return next();
}
private:
static constexpr T rotl(const T x, int k)
{
return (x << k) | (x >> (64 - k));
}
T next()
{
const T ans = rotl(s[1] * 5, 7) * 9;
const T t = s[1] << 17;
s[2] ^= s[0];
s[3] ^= s[1];
s[1] ^= s[2];
s[0] ^= s[3];
s[2] ^= t;
s[3] = rotl(s[3], 45);
return ans;
}
T s[4];
};
template<typename Rng>
class RNG
{
public:
using result_type = typename Rng::result_type;
using T = result_type;
static constexpr T min()
{
return Rng::min();
}
static constexpr T max()
{
return Rng::max();
}
RNG() : RNG(std::random_device{}()) {}
RNG(T seed) : m_rng(seed) {}
T operator()()
{
return m_rng();
}
template<typename T>
T val(T min, T max)
{
return std::uniform_int_distribution<T>(min, max)(m_rng);
}
template<typename T>
Pair<T, T> pair(T min, T max)
{
return std::minmax({val<T>(min, max), val<T>(min, max)});
}
template<typename T>
Vec<T> vec(int n, T min, T max)
{
return genVec<T>(n, [&]() { return val<T>(min, max); });
}
template<typename T>
Vec<Vec<T>> vvec(int n, int m, T min, T max)
{
return genVec<Vec<T>>(n, [&]() { return vec(m, min, max); });
}
private:
Rng m_rng;
};
RNG<std::mt19937> rng;
RNG<std::mt19937_64> rng64;
RNG<Xoshiro32> rng_xo;
RNG<Xoshiro64> rng_xo64;
class Scanner
{
public:
Scanner(Istream& is = std::cin) : m_is{is}
{
m_is.tie(nullptr)->sync_with_stdio(false);
}
template<typename T>
T val()
{
T v;
return m_is >> v, v;
}
template<typename T>
T val(T offset)
{
return val<T>() - offset;
}
template<typename T>
Vec<T> vec(int n)
{
return genVec<T>(n, [&]() { return val<T>(); });
}
template<typename T>
Vec<T> vec(int n, T offset)
{
return genVec<T>(n, [&]() { return val<T>(offset); });
}
template<typename T>
Vec<Vec<T>> vvec(int n, int m)
{
return genVec<Vec<T>>(n, [&]() { return vec<T>(m); });
}
template<typename T>
Vec<Vec<T>> vvec(int n, int m, const T offset)
{
return genVec<Vec<T>>(n, [&]() { return vec<T>(m, offset); });
}
template<typename... Args>
auto tup()
{
return Tup<Args...>{val<Args>()...};
}
template<typename... Args>
auto tup(const Args&... offsets)
{
return Tup<Args...>{val<Args>(offsets)...};
}
private:
Istream& m_is;
};
Scanner in;
class Printer
{
public:
Printer(Ostream& os = std::cout) : m_os{os}
{
m_os << std::fixed << std::setprecision(15);
}
template<typename... Args>
int operator()(const Args&... args)
{
dump(args...);
return 0;
}
template<typename... Args>
int ln(const Args&... args)
{
dump(args...), m_os << '\n';
return 0;
}
template<typename... Args>
int el(const Args&... args)
{
dump(args...), m_os << std::endl;
return 0;
}
private:
template<typename T>
void dump(const T& v)
{
m_os << v;
}
template<typename T>
void dump(const Vec<T>& vs)
{
for (const int i : rep(vs.size())) {
m_os << (i ? " " : ""), dump(vs[i]);
}
}
template<typename T>
void dump(const Vec<Vec<T>>& vss)
{
for (const int i : rep(vss.size())) {
m_os << (i ? "\n" : ""), dump(vss[i]);
}
}
template<typename T, typename... Ts>
int dump(const T& v, const Ts&... args)
{
dump(v), m_os << ' ', dump(args...);
return 0;
}
Ostream& m_os;
};
Printer out;
template<typename T, int n, int i = 0>
auto ndVec(int const (&szs)[n], const T x = T{})
{
if constexpr (i == n) {
return x;
} else {
return std::vector(szs[i], ndVec<T, n, i + 1>(szs, x));
}
}
template<typename T, typename F>
T binSearch(T ng, T ok, F check)
{
while (std::abs(ok - ng) > 1) {
const T mid = (ok + ng) / 2;
(check(mid) ? ok : ng) = mid;
}
return ok;
}
template<u32 mod_, u32 root_, u32 max2p_>
class modint
{
template<typename U = u32&>
static U modRef()
{
static u32 s_mod = 0;
return s_mod;
}
template<typename U = u32&>
static U rootRef()
{
static u32 s_root = 0;
return s_root;
}
template<typename U = u32&>
static U max2pRef()
{
static u32 s_max2p = 0;
return s_max2p;
}
public:
template<typename U = const u32>
static constexpr std::enable_if_t<mod_ != 0, U> mod()
{
return mod_;
}
template<typename U = const u32>
static std::enable_if_t<mod_ == 0, U> mod()
{
return modRef();
}
template<typename U = const u32>
static constexpr std::enable_if_t<mod_ != 0, U> root()
{
return root_;
}
template<typename U = const u32>
static std::enable_if_t<mod_ == 0, U> root()
{
return rootRef();
}
template<typename U = const u32>
static constexpr std::enable_if_t<mod_ != 0, U> max2p()
{
return max2p_;
}
template<typename U = const u32>
static std::enable_if_t<mod_ == 0, U> max2p()
{
return max2pRef();
}
template<typename U = u32>
static void setMod(std::enable_if_t<mod_ == 0, U> m)
{
modRef() = m;
}
template<typename U = u32>
static void setRoot(std::enable_if_t<mod_ == 0, U> r)
{
rootRef() = r;
}
template<typename U = u32>
static void setMax2p(std::enable_if_t<mod_ == 0, U> m)
{
max2pRef() = m;
}
constexpr modint() : m_val{0} {}
constexpr modint(i64 v) : m_val{normll(v)} {}
constexpr void setRaw(u32 v)
{
m_val = v;
}
constexpr modint operator-() const
{
return modint{0} - (*this);
}
constexpr modint& operator+=(const modint& m)
{
m_val = norm(m_val + m.val());
return *this;
}
constexpr modint& operator-=(const modint& m)
{
m_val = norm(m_val + mod() - m.val());
return *this;
}
constexpr modint& operator*=(const modint& m)
{
m_val = normll((i64)m_val * (i64)m.val() % (i64)mod());
return *this;
}
constexpr modint& operator/=(const modint& m)
{
return *this *= m.inv();
}
constexpr modint operator+(const modint& m) const
{
auto v = *this;
return v += m;
}
constexpr modint operator-(const modint& m) const
{
auto v = *this;
return v -= m;
}
constexpr modint operator*(const modint& m) const
{
auto v = *this;
return v *= m;
}
constexpr modint operator/(const modint& m) const
{
auto v = *this;
return v /= m;
}
constexpr bool operator==(const modint& m) const
{
return m_val == m.val();
}
constexpr bool operator!=(const modint& m) const
{
return not(*this == m);
}
friend Istream& operator>>(Istream& is, modint& m)
{
i64 v;
return is >> v, m = v, is;
}
friend Ostream& operator<<(Ostream& os, const modint& m)
{
return os << m.val();
}
constexpr u32 val() const
{
return m_val;
}
template<typename I>
constexpr modint pow(I n) const
{
return power(*this, n);
}
constexpr modint inv() const
{
return pow(mod() - 2);
}
static modint sinv(u32 n)
{
static Vec<modint> is{1, 1};
for (u32 i = (u32)is.size(); i <= n; i++) {
is.push_back(-is[mod() % i] * (mod() / i));
}
return is[n];
}
static modint fact(u32 n)
{
static Vec<modint> fs{1, 1};
for (u32 i = (u32)fs.size(); i <= n; i++) {
fs.push_back(fs.back() * i);
}
return fs[n];
}
static modint ifact(u32 n)
{
static Vec<modint> ifs{1, 1};
for (u32 i = (u32)ifs.size(); i <= n; i++) {
ifs.push_back(ifs.back() * sinv(i));
}
return ifs[n];
}
static modint comb(int n, int k)
{
return k > n or k < 0 ? modint{0} : fact(n) * ifact(n - k) * ifact(k);
}
private:
static constexpr u32 norm(u32 x)
{
return x < mod() ? x : x - mod();
}
static constexpr u32 normll(i64 x)
{
return norm(u32(x % (i64)mod() + (i64)mod()));
}
u32 m_val;
};
using modint_1000000007 = modint<1000000007, 5, 1>;
using modint_998244353 = modint<998244353, 3, 23>;
template<int id>
using modint_dynamic = modint<0, 0, id>;
template<typename T = int>
class Graph
{
struct Edge
{
Edge() = default;
Edge(int i, int t, T c) : id{i}, to{t}, cost{c} {}
int id;
int to;
T cost;
operator int() const
{
return to;
}
};
public:
Graph(int n) : m_v{n}, m_edges(n) {}
void addEdge(int u, int v, bool bi = false)
{
assert(0 <= u and u < m_v);
assert(0 <= v and v < m_v);
m_edges[u].emplace_back(m_e, v, 1);
if (bi) { m_edges[v].emplace_back(m_e, u, 1); }
m_e++;
}
void addEdge(int u, int v, const T& c, bool bi = false)
{
assert(0 <= u and u < m_v);
assert(0 <= v and v < m_v);
m_edges[u].emplace_back(m_e, v, c);
if (bi) { m_edges[v].emplace_back(m_e, u, c); }
m_e++;
}
const Vec<Edge>& operator[](const int u) const
{
assert(0 <= u and u < m_v);
return m_edges[u];
}
Vec<Edge>& operator[](const int u)
{
assert(0 <= u and u < m_v);
return m_edges[u];
}
int v() const
{
return m_v;
}
int e() const
{
return m_e;
}
friend Ostream& operator<<(Ostream& os, const Graph& g)
{
for (int u : rep(g.v())) {
for (const auto& [id, v, c] : g[u]) {
os << "[" << id << "]: ";
os << u << "->" << v << "(" << c << ")\n";
}
}
return os;
}
Vec<T> sizes(int root = 0) const
{
const int N = v();
assert(0 <= root and root < N);
Vec<T> ss(N, 1);
Fix([&](auto dfs, int u, int p) -> void {
for (const auto& [id, v, c] : m_edges[u]) {
static_cast<void>(id);
if (v == p) { continue; }
dfs(v, u);
ss[u] += ss[v];
}
})(root, -1);
return ss;
}
Vec<T> depths(int root = 0) const
{
const int N = v();
assert(0 <= root and root < N);
Vec<T> ds(N, 0);
Fix([&](auto dfs, int u, int p) -> void {
for (const auto& [id, v, c] : m_edges[u]) {
static_cast<void>(id);
if (v == p) { continue; }
ds[v] = ds[u] + c;
dfs(v, u);
}
})(root, -1);
return ds;
}
Vec<int> parents(int root = 0) const
{
const int N = v();
assert(0 <= root and root < N);
Vec<int> ps(N, -1);
Fix([&](auto dfs, int u, int p) -> void {
for (const auto& [id, v, c] : m_edges[u]) {
static_cast<void>(id);
if (v == p) { continue; }
ps[v] = u;
dfs(v, u);
}
})(root, -1);
return ps;
}
private:
int m_v;
int m_e = 0;
Vec<Vec<Edge>> m_edges;
};
template<typename OpMonoid>
class DualSeg
{
using F = typename OpMonoid::F;
static constexpr F id()
{
return OpMonoid::id();
}
public:
DualSeg(const Vec<F>& vs)
: m_size(vs.size()),
m_depth(clog(m_size) + 1),
m_half(1 << m_depth),
m_ops(m_half << 1, id())
{
std::copy(vs.begin(), vs.end(), m_ops.begin() + m_half);
}
F get(int i) const
{
assert(0 <= i and i < m_size);
F ans = id();
i += m_half;
for (int h : per(m_depth)) {
ans = compose(ans, m_ops[i >> h]);
}
return ans;
}
void set(int i, const F& f)
{
assert(0 <= i and i < m_size);
i += m_half;
clean(i), clean(i + 1);
m_ops[i] = f;
}
void act(int l, int r, const F& f)
{
assert(0 <= l and r <= m_size);
if (l >= r) { return; }
int li = l + m_half, ri = r + m_half;
clean(li), clean(ri);
for (; li < ri; li >>= 1, ri >>= 1) {
if (li & 1) { update(li++, f); }
if (ri & 1) { update(--ri, f); }
}
}
friend Ostream& operator<<(Ostream& os, const DualSeg& seg)
{
os << "[";
for (int i : rep(seg.m_size)) {
os << (i == 0 ? "" : ",") << seg.get(i);
}
return (os << "]\n");
}
private:
void down(int i)
{
update(i << 1, m_ops[i]), update(i << 1 | 1, m_ops[i]);
m_ops[i] = id();
}
void clean(int i)
{
const int b = (i / (i & -i)) >> 1;
for (const int h : per(m_depth)) {
const int v = i >> h;
if (v > b) { break; }
down(v);
}
}
void update(int i, const F& f)
{
m_ops[i] = compose(f, m_ops[i]);
}
int m_size, m_depth, m_half;
Vec<F> m_ops;
static inline OpMonoid compose;
};
template<typename SemiGroup>
class DSTable
{
using T = typename SemiGroup::T;
public:
DSTable(const Vec<T>& vs)
: m_size(vs.size()), m_depth(log2p1(m_size)), m_vss(m_depth, vs)
{
for (int d : rep(m_depth)) {
const int w = 1 << (m_depth - d - 1);
for (int i = 1; i * w < m_size; i += 2) {
int l = i * w - 1, r = i * w;
for (int j : irange(1, w)) {
m_vss[d][l - j] = merge(vs[l - j], m_vss[d][l - j + 1]);
if (r + j < m_size) {
m_vss[d][r + j] = merge(vs[r + j], m_vss[d][r + j - 1]);
}
}
}
}
}
T fold(int l, int r) const
{
assert(0 <= l and l < r and r <= m_size);
if (r - l == 1) { return m_vss.back()[l]; }
const int d = m_depth - log2p1(l ^ (r - 1));
return merge(m_vss[d][l], m_vss[d][r - 1]);
}
private:
int m_size, m_depth;
Vec<Vec<T>> m_vss;
static inline SemiGroup merge;
};
template<typename TotalOrd>
class StaticRMQ
{
using T = typename TotalOrd::T;
public:
StaticRMQ(const Vec<T>& vs)
: m_size(vs.size()),
m_bn(wind(m_size + bs - 1)),
m_vals{vs},
m_bucket_vals([&]() {
Vec<T> ans(m_bn);
for (int i : rep(m_size)) {
ans[wind(i)]
= (i % bs == 0 ? m_vals[i]
: std::min(ans[wind(i)], m_vals[i], comp));
}
return ans;
}()),
m_masks(m_size, 0),
m_st(m_bucket_vals)
{
for (int i : rep(m_bn)) {
Vec<int> g(bs, m_size), stack;
for (const int j : rep(bs)) {
if (ind(i, j) >= m_size) { break; }
for (; not stack.empty()
and not comp(m_vals[stack.back()], m_vals[ind(i, j)]);
stack.pop_back()) {}
g[j] = stack.empty() ? m_size : stack.back(),
stack.push_back(ind(i, j));
}
for (int j : rep(bs)) {
if (ind(i, j) >= m_size) { break; }
m_masks[ind(i, j)]
= g[j] == m_size ? static_cast<B>(0)
: (m_masks[g[j]]
| static_cast<B>(1) << (g[j] - i * bs));
}
}
}
T fold(int l, int r) const
{
assert(0 <= l and l < r and r <= m_size);
const int lb = (l + bs - 1) / bs, rb = r / bs;
if (lb > rb) {
return brmq(l, r);
} else {
return lb < rb
? (l < bs * lb
? (bs * rb < r ? std::min({m_st.fold(lb, rb),
brmq(l, bs * lb),
brmq(bs * rb, r)},
comp)
: std::min(m_st.fold(lb, rb),
brmq(l, bs * lb),
comp))
: (bs * rb < r ? std::min(
m_st.fold(lb, rb), brmq(bs * rb, r), comp)
: m_st.fold(lb, rb)))
: (l < bs * lb
? (bs * rb < r ? std::min(
brmq(l, bs * lb), brmq(bs * rb, r), comp)
: brmq(l, bs * lb))
: (bs * rb < r ? brmq(bs * rb, r) : T{}));
}
}
private:
using B = u64;
static constexpr int bs = sizeof(B) * 8;
static constexpr int bslog = log2p1(bs) - 1;
static constexpr int wind(int n)
{
return n >> (bslog);
}
static constexpr int bind(int n)
{
return n ^ (wind(n) << bslog);
}
static constexpr int ind(int w, int b)
{
return (w << bslog) | b;
}
T brmq(int l, int r) const
{
const B w = m_masks[r - 1] >> (l % bs);
return w == 0 ? m_vals[r - 1] : m_vals[l + lsbp1(w) - 1];
}
struct SemiGroup
{
using T = typename TotalOrd::T;
T operator()(const T& x1, const T& x2) const
{
return std::min(x1, x2, comp);
}
};
static inline TotalOrd comp;
int m_size, m_bn;
Vec<T> m_vals, m_bucket_vals;
Vec<B> m_masks;
DSTable<SemiGroup> m_st;
};
#pragma endregion
struct OpMonoid
{
using F = i64;
static constexpr F id()
{
return INF<i64>;
}
F operator()(const F& f1, const F& f2) const
{
return (f1 == id() ? f2 : f1);
}
};
struct Ord
{
using T = i64;
T operator()(const T& x1, const T& x2) const
{
return x1 < x2;
}
};
int main()
{
const auto [N, Q] = in.tup<int, int>();
Vec<int> ls(Q), rs(Q);
Vec<i64> Bs(Q);
for (int i : rep(Q)) {
std::tie(ls[i], rs[i], Bs[i]) = in.tup<int, int, i64>(1, 0, 0);
}
auto is = iotaVec(Q);
sortAll(is, [&](int i, int j) { return Bs[i] < Bs[j]; });
DualSeg<OpMonoid> seg(Vec<i64>(N, INF<i64>));
for (int i : is) {
seg.act(ls[i], rs[i], Bs[i]);
}
Vec<i64> As(N);
for (int i : rep(N)) {
As[i] = seg.get(i);
}
StaticRMQ<Ord> RMQ(As);
for (int i : rep(Q)) {
if (RMQ.fold(ls[i], rs[i]) != Bs[i]) { return out.ln(-1); }
}
out.ln(As);
}