From 815334790e3de5f9f935918251282614c9158f71 Mon Sep 17 00:00:00 2001 From: subcrip Date: Thu, 11 Apr 2024 21:05:07 +0800 Subject: [PATCH] backup --- src/bin/a.out | Bin 1805992 -> 1890696 bytes src/bin/cf-1922d.cc | 339 +++++++++++++++++++++++++++++++ src/bin/cf-1924b.cc | 483 ++++++++++++++++++++++++++++++++++++++++++++ src/bin/cf-1931g.cc | 344 +++++++++++++++++++++++++++++++ src/bin/std.in | 8 +- src/bin/test.cc | 179 +++++++++++----- 6 files changed, 1301 insertions(+), 52 deletions(-) create mode 100644 src/bin/cf-1922d.cc create mode 100644 src/bin/cf-1924b.cc create mode 100644 src/bin/cf-1931g.cc diff --git a/src/bin/a.out b/src/bin/a.out index 6e514e736b78e0af495a111c769a14b1e092a689..27b53ec35aa6454f7b7f28e431fed5924db9d2bd 100755 GIT binary patch delta 684030 zcmaI92e?zk_CCB1NK?SjrA}T^ax&onBP3Q;;!6RKEbX3$J zs0Xm*TCrV&*MdEIEvTqbQ4!n!oq5*)d;Pxq&GW3YbKaR*Yi7-wHM3{Wp1tF~v5R(3 zOcqv2U0T93A#DG8UYCELy}Z%Zc%%_wcl82{FTkag`59uozRtd(qD|;?;ai+0_|AHv@h&*V!>`t+a7m;STpfr6El 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+/** + * Useful Macros + * by subcrip + * (requires C++17) + */ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::value +#define __DECOMPOSE_S(a, x) auto x = a; +#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a; +constexpr void __() {} +#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __() +#define __as_typeof(container) decltype(container)::value_type + +/* type aliases */ +using ll = int64_t; +using ull = uint64_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; + +/* constants */ +constexpr int INF = 0x3f3f3f3f; +constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL; +constexpr ll MDL = 1e9 + 7; +constexpr ll PRIME = 998'244'353; +constexpr ll MDL1 = 8784491; +constexpr ll MDL2 = PRIME; + +/* random */ + +mt19937 rd(chrono::duration_cast(chrono::system_clock::now().time_since_epoch()).count()); + +/* bit-wise operations */ +#define lowbit(x) ((x) & -(x)) +#define popcount(x) (__builtin_popcountll(ll(x))) +#define parity(x) (__builtin_parityll(ll(x))) +#define msp(x) (63LL - __builtin_clzll(ll(x))) +#define lsp(x) (__builtin_ctzll(ll(x))) + +/* arithmetic operations */ +#define mod(x, y) ((((x) % (y)) + (y)) % (y)) + +/* fast pairs */ +#define upair ull +#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1))) +#define u1(p) ((p) >> 32) +#define u2(p) ((p) & ((1ULL << 32) - 1)) +#define ult std::less +#define ugt std::greater + +#define ipair ull +#define imake(x, y) (umake(x, y)) +#define i1(p) (int(u1(ll(p)))) +#define i2(p) (ll(u2(p) << 32) >> 32) +struct ilt { + bool operator()(const ipair& a, const ipair& b) const { + if (i1(a) == i1(b)) return i2(a) < i2(b); + else return i1(a) < i1(b); + } +}; +struct igt { + bool operator()(const ipair& a, const ipair& b) const { + if (i1(a) == i1(b)) return i2(a) > i2(b); + else return i1(a) > i1(b); + } +}; + +/* conditions */ +#define loop while (1) +#define if_or(var, val) if (!(var == val)) var = val; else +#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;) +#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;) + +/* hash */ +struct safe_hash { + // https://codeforces.com/blog/entry/62393 + static uint64_t splitmix64(uint64_t x) { + // http://xorshift.di.unimi.it/splitmix64.c + 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); + } +}; + +struct pair_hash { + template + size_t operator()(const pair& a) const { + auto hash1 = safe_hash()(a.first); + auto hash2 = safe_hash()(a.second); + if (hash1 != hash2) { + return hash1 ^ hash2; + } + return hash1; + } +}; + +/* build data structures */ +#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];) +#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];) +#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);) +#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};) +#define adj(ch, n) __AS_PROCEDURE(vector> ch((n) + 1);) +#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);) +#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +template pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} + +/* io */ +#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL)) +template void __read(T& x) { cin >> x; } +template void __read(T& x, U&... args) { cin >> x; __read(args...); } +#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);) +#define readvec(type, a, n) __AS_PROCEDURE(vector a(n); for (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& vec) { + for (auto&& i : vec) out << i << ' '; + return out; +} + +/* pops */ +#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();) +#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();) +#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();) + +/* math */ +constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); } + +void __exgcd(ll a, ll b, ll& x, ll& y) { + if (b == 0) { + x = 1, y = 0; + return; + } + __exgcd(b, a % b, y, x); + y -= a / b * x; +} + +ll inverse(ll a, ll b) { + ll x, y; + __exgcd(a, b, x, y); + return mod(x, b); +} + +vector> decompose(ll x) { + vector> res; + for (int i = 2; i * i <= x; i++) { + if (x % i == 0) { + int cnt = 0; + ll pw = 1; + while (x % i == 0) ++cnt, x /= i, pw *= i; + res.emplace_back(i, cnt, pw); + } + } + if (x != 1) { + res.emplace_back(x, 1, x); + } + return res; +} + +/* string algorithms */ +vector calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector pi(n); + for (int i = 1; i < n; i++) { + int j = pi[i - 1]; + while (j > 0 && t[i] != t[j]) j = pi[j - 1]; + if (t[i] == t[j]) j++; + pi[i] = j; + } + return pi; +} +vector calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair prev = {1, -1}; + for (int i = 1; i < m; ++i) { + if (z[i - prev.first] + i <= prev.second) { + z.push_back(z[i - prev.first]); + } else { + int j = max(i, prev.second + 1); + while (j < m && t[j] == t[j - i]) ++j; + z.push_back(j - i); + prev = {i, j - 1}; + } + } + return z; +} +vector kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector lps = calc_next(cur); + for (int i = sz2 + 1; i <= sz1 + sz2; i++) { + if (lps[i] == sz2) v.push_back(i - 2 * sz2); + } + return v; +} +int period(string s) { // find the length of shortest recurring period + int n = s.length(); + auto z = calc_z(s); + for (int i = 1; i <= n / 2; ++i) { + if (n % i == 0 && z[i] == n - i) { + return i; + } + } + return n; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 512 + +void dump() {} + +void prep() {} + +struct Node { + int left, right; +}; + +void solve() { + read(int, n); + readvec(int, a, n); + readvec(int, d, n); + vector pos(n); + pos[0].left = -1; + pos[n - 1].right = -1; + for (int i = 0; i < n; ++i) { + if (i != n - 1) { + pos[i].right = i + 1; + } + if (i != 0) { + pos[i].left = i - 1; + } + } + unordered_set open; + for (int i = 0; i < n; ++i) { + open.emplace(i); + } + vector res; + for (int t = 0; t < n; ++t) { + unordered_set new_open; + unordered_set remove; + int curr = 0; + for (auto&& i : open) { + int attack = 0; + if (pos[i].left != -1) { + attack += a[pos[i].left]; + } + if (pos[i].right != -1) { + attack += a[pos[i].right]; + } + if (attack > d[i]) { + curr += 1; + remove.emplace(i); + if (pos[i].left != -1) new_open.emplace(pos[i].left); + if (pos[i].right != -1) new_open.emplace(pos[i].right); + } + } + res.emplace_back(curr); + open = new_open; + for (auto&& i : remove) { + if (pos[i].left != -1) { + pos[pos[i].left].right = pos[i].right; + } + if (pos[i].right != -1) { + pos[pos[i].right].left = pos[i].left; + } + open.erase(i); + } + } + putvec(res); +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + solve(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1924b.cc b/src/bin/cf-1924b.cc new file mode 100644 index 0000000..d7302bc --- /dev/null +++ b/src/bin/cf-1924b.cc @@ -0,0 +1,483 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (requires C++17) + */ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::value +#define __DECOMPOSE_S(a, x) auto x = a; +#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a; +constexpr void __() {} +#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __() +#define __as_typeof(container) decltype(container)::value_type + +/* type aliases */ +using ll = int64_t; +using ull = uint64_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; + +/* constants */ +constexpr int INF = 0x3f3f3f3f; +constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL; +constexpr ll MDL = 1e9 + 7; +constexpr ll PRIME = 998'244'353; +constexpr ll MDL1 = 8784491; +constexpr ll MDL2 = PRIME; + +/* random */ + +mt19937 rd(chrono::duration_cast(chrono::system_clock::now().time_since_epoch()).count()); + +/* bit-wise operations */ +#define lowbit(x) ((x) & -(x)) +#define popcount(x) (__builtin_popcountll(ll(x))) +#define parity(x) (__builtin_parityll(ll(x))) +#define msp(x) (63LL - __builtin_clzll(ll(x))) +#define lsp(x) (__builtin_ctzll(ll(x))) + +/* arithmetic operations */ +#define mod(x, y) ((((x) % (y)) + (y)) % (y)) + +/* fast pairs */ +#define upair ull +#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1))) +#define u1(p) ((p) >> 32) +#define u2(p) ((p) & ((1ULL << 32) - 1)) +#define ult std::less +#define ugt std::greater + +#define ipair ull +#define imake(x, y) (umake(x, y)) +#define i1(p) (int(u1(ll(p)))) +#define i2(p) (ll(u2(p) << 32) >> 32) +struct ilt { + bool operator()(const ipair& a, const ipair& b) const { + if (i1(a) == i1(b)) return i2(a) < i2(b); + else return i1(a) < i1(b); + } +}; +struct igt { + bool operator()(const ipair& a, const ipair& b) const { + if (i1(a) == i1(b)) return i2(a) > i2(b); + else return i1(a) > i1(b); + } +}; + +/* conditions */ +#define loop while (1) +#define if_or(var, val) if (!(var == val)) var = val; else +#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;) +#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;) + +/* hash */ +struct safe_hash { + // https://codeforces.com/blog/entry/62393 + static uint64_t splitmix64(uint64_t x) { + // http://xorshift.di.unimi.it/splitmix64.c + 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); + } +}; + +struct pair_hash { + template + size_t operator()(const pair& a) const { + auto hash1 = safe_hash()(a.first); + auto hash2 = safe_hash()(a.second); + if (hash1 != hash2) { + return hash1 ^ hash2; + } + return hash1; + } +}; + +/* build data structures */ +#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];) +#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];) +#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);) +#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};) +#define adj(ch, n) __AS_PROCEDURE(vector> ch((n) + 1);) +#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);) +#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +template pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} + +/* io */ +#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL)) +template void __read(T& x) { cin >> x; } +template void __read(T& x, U&... args) { cin >> x; __read(args...); } +#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);) +#define readvec(type, a, n) __AS_PROCEDURE(vector a(n); for (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& vec) { + for (auto&& i : vec) out << i << ' '; + return out; +} + +/* pops */ +#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();) +#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();) +#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();) + +/* math */ +constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); } + +void __exgcd(ll a, ll b, ll& x, ll& y) { + if (b == 0) { + x = 1, y = 0; + return; + } + __exgcd(b, a % b, y, x); + y -= a / b * x; +} + +ll inverse(ll a, ll b) { + ll x, y; + __exgcd(a, b, x, y); + return mod(x, b); +} + +vector> decompose(ll x) { + vector> res; + for (int i = 2; i * i <= x; i++) { + if (x % i == 0) { + int cnt = 0; + ll pw = 1; + while (x % i == 0) ++cnt, x /= i, pw *= i; + res.emplace_back(i, cnt, pw); + } + } + if (x != 1) { + res.emplace_back(x, 1, x); + } + return res; +} + +/* string algorithms */ +vector calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector pi(n); + for (int i = 1; i < n; i++) { + int j = pi[i - 1]; + while (j > 0 && t[i] != t[j]) j = pi[j - 1]; + if (t[i] == t[j]) j++; + pi[i] = j; + } + return pi; +} +vector calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair prev = {1, -1}; + for (int i = 1; i < m; ++i) { + if (z[i - prev.first] + i <= prev.second) { + z.push_back(z[i - prev.first]); + } else { + int j = max(i, prev.second + 1); + while (j < m && t[j] == t[j - i]) ++j; + z.push_back(j - i); + prev = {i, j - 1}; + } + } + return z; +} +vector kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector lps = calc_next(cur); + for (int i = sz2 + 1; i <= sz1 + sz2; i++) { + if (lps[i] == sz2) v.push_back(i - 2 * sz2); + } + return v; +} +int period(string s) { // find the length of shortest recurring period + int n = s.length(); + auto z = calc_z(s); + for (int i = 1; i <= n / 2; ++i) { + if (n % i == 0 && z[i] == n - i) { + return i; + } + } + return n; +} +///////////////////////////////////////////////////////// + +#define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 512 + +void dump() {} + +void prep() {} + +template> class segtree { +private: + using size_type = uint64_t; + using info_type = Addable_Info_t; + using tag_type = Tag_t; + size_type _max; + vector d; + vector b; + + void pull(size_type p) { + d[p] = d[p * 2] + d[p * 2 + 1]; + } + + void push(size_type p, size_type left_len, size_type right_len) { + d[p * 2].apply(b[p], left_len), d[p * 2 + 1].apply(b[p], right_len); + b[p * 2].apply(b[p]), b[p * 2 + 1].apply(b[p]); + b[p] = tag_type(); + } + + void set(size_type s, size_type t, size_type p, size_type x, const info_type& c) { + if (s == t) { + d[p] = c; + return; + } + size_type m = s + (t - s >> 1); + if (s != t) push(p, m - s + 1, t - m); + if (x <= m) set(s, m, p * 2, x, c); + else set(m + 1, t, p * 2 + 1, x, c); + d[p] = d[p * 2] + d[p * 2 + 1]; + } + + void range_apply(size_type s, size_type t, size_type p, size_type l, size_type r, const tag_type& c) { + if (l <= s && t <= r) { + d[p].apply(c, t - s + 1); + b[p].apply(c); + return; + } + size_type m = s + (t - s >> 1); + push(p, m - s + 1, t - m); + if (l <= m) range_apply(s, m, p * 2, l, r, c); + if (r > m) range_apply(m + 1, t, p * 2 + 1, l, r, c); + pull(p); + } + + info_type range_query(size_type s, size_type t, size_type p, size_type l, size_type r) { + if (l <= s && t <= r) { + return d[p]; + } + size_type m = s + (t - s >> 1); + info_type res = {}; + push(p, m - s + 1, t - m); + if (l <= m) res = res + range_query(s, m, p * 2, l, r); + if (r > m) res = res + range_query(m + 1, t, p * 2 + 1, l, r); + return res; + } + + void build(const Sequence& a, size_type s, size_type t, size_type p) { + if (s == t) { + d[p] = a[s]; + return; + } + int m = s + (t - s >> 1); + build(a, s, m, p * 2); + build(a, m + 1, t, p * 2 + 1); + pull(p); + } +public: + segtree(size_type __max) : d(4 * __max), b(4 * __max), _max(__max - 1) {} + segtree(const Sequence& a) : segtree(a.size()) { + build(a, {}, _max, 1); + } + + void set(size_type i, const info_type& c) { + set({}, _max, 1, i, c); + } + + void range_apply(size_type l, size_type r, const tag_type& c) { + range_apply({}, _max, 1, l, r, c); + } + + void apply(size_type i, const tag_type& c) { + range_apply(i, i, c); + } + + info_type range_query(size_type l, size_type r) { + return range_query({}, _max, 1, l, r); + } + + info_type query(size_type i) { + return range_query(i, i); + } + + Sequence serialize() { + Sequence res = {}; + for (size_type i = 0; i <= _max; ++i) { + res.push_back(query(i)); + } + return res; + } + + const vector& get_d() { + return d; + } +}; + +struct Tag { + ll val = -1; + void apply(const Tag& rhs) { + if (rhs.val != -1) + val = rhs.val; + } +}; + +struct Info { + ll val = 0; + void apply(const Tag& rhs, size_t len) { + if (rhs.val != -1) + val = rhs.val * len; + } +}; + +Info operator+(const Info &a, const Info &b) { + return {a.val + b.val}; +} + +void solve() { + read(int, n, m, q); + map pts; + readvec(int, ipt, 2 * m); + for (int i = 0; i < m; ++i) { + pts[ipt[i] - 1] = ipt[i + m]; + } + segtree tr(n); + int prev_idx = pts.begin()->first; + ll prev_y = pts.begin()->second; + for (auto&& [x, y] : pts) { + if (x == prev_idx) { + continue; + } + if (prev_idx + 1 != x) { + ll t = x - prev_idx - 1; + tr.set(prev_idx, {t * (t + 1) / 2 * prev_y}); + } + prev_idx = x, prev_y = y; + } + while (q--) { + read(int, op); + if (op == 1) { + read(int, x, y); + --x; + auto lb = pts.lower_bound(x); + auto ub = pts.upper_bound(x); + if (lb != pts.begin()) { + auto [prev_x, prev_y] = *--lb; + ll t = x - prev_x - 1; + tr.set(prev_x, {t * (t + 1) / 2 * prev_y}); + } + assert(ub != pts.end()); + if (ub != pts.end()) { + auto [next_x, next_y] = *ub; + ll t = next_x - x - 1; + tr.set(x, {t * (t + 1) / 2 * y}); + } + pts[x] = y; + } else { + read(int, l, r); + --l, --r; + auto lb = pts.lower_bound(l); + auto ub = pts.upper_bound(r); + assert(lb != pts.end()); + ll res = 0; + auto [p_x, p_y] = *lb; + assert(ub != pts.begin()); + auto next_lb = ub; + --next_lb; + auto [q_x, q_y] = *next_lb; + // debug(res); + if (p_x <= q_x) { + if (lb != pts.begin()) { + auto prev_lb = lb; + --prev_lb; + ll t = p_x - l; + // debug(t); + res += t * (t + 1) / 2 * prev_lb->second; + // debug(res); + } + ll e = ub->first - r, f = ub->first - q_x - 1; + assert(f - e + 1 >= 0); + res += (e + f) * (f - e + 1) / 2 * q_y; + if (p_x <= q_x - 1) { + res += tr.range_query(p_x, q_x - 1).val; + } + } else { + // use q? + ll e = p_x - r, f = p_x - l; + res += (e + f) * (f - e + 1) / 2 * q_y; + } + cout << res << '\n'; + } + } +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + solve(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/cf-1931g.cc b/src/bin/cf-1931g.cc new file mode 100644 index 0000000..56f57d8 --- /dev/null +++ b/src/bin/cf-1931g.cc @@ -0,0 +1,344 @@ +#pragma GCC optimize("Ofast") +///////////////////////////////////////////////////////// +/** + * Useful Macros + * by subcrip + * (requires C++17) + */ + +#include +using namespace std; + +/* macro helpers */ +#define __NARGS(...) std::tuple_size::value +#define __DECOMPOSE_S(a, x) auto x = a; +#define __DECOMPOSE_N(a, ...) auto [__VA_ARGS__] = a; +constexpr void __() {} +#define __AS_PROCEDURE(...) __(); __VA_ARGS__; __() +#define __as_typeof(container) decltype(container)::value_type + +/* type aliases */ +using ll = int64_t; +using ull = uint64_t; +using pii = pair; +using pil = pair; +using pli = pair; +using pll = pair; + +/* constants */ +constexpr int INF = 0x3f3f3f3f; +constexpr ll INFLL = 0x3f3f3f3f3f3f3f3fLL; +constexpr ll MDL = 1e9 + 7; +constexpr ll PRIME = 998'244'353; +constexpr ll MDL1 = 8784491; +constexpr ll MDL2 = PRIME; + +/* random */ + +mt19937 rd(chrono::duration_cast(chrono::system_clock::now().time_since_epoch()).count()); + +/* bit-wise operations */ +#define lowbit(x) ((x) & -(x)) +#define popcount(x) (__builtin_popcountll(ll(x))) +#define parity(x) (__builtin_parityll(ll(x))) +#define msp(x) (63LL - __builtin_clzll(ll(x))) +#define lsp(x) (__builtin_ctzll(ll(x))) + +/* arithmetic operations */ +#define mod(x, y) ((((x) % (y)) + (y)) % (y)) + +/* fast pairs */ +#define upair ull +#define umake(x, y) (ull(x) << 32 | (ull(y) & ((1ULL << 32) - 1))) +#define u1(p) ((p) >> 32) +#define u2(p) ((p) & ((1ULL << 32) - 1)) +#define ult std::less +#define ugt std::greater + +#define ipair ull +#define imake(x, y) (umake(x, y)) +#define i1(p) (int(u1(ll(p)))) +#define i2(p) (ll(u2(p) << 32) >> 32) +struct ilt { + bool operator()(const ipair& a, const ipair& b) const { + if (i1(a) == i1(b)) return i2(a) < i2(b); + else return i1(a) < i1(b); + } +}; +struct igt { + bool operator()(const ipair& a, const ipair& b) const { + if (i1(a) == i1(b)) return i2(a) > i2(b); + else return i1(a) > i1(b); + } +}; + +/* conditions */ +#define loop while (1) +#define if_or(var, val) if (!(var == val)) var = val; else +#define continue_or(var, val) __AS_PROCEDURE(if (var == val) continue; var = val;) +#define break_or(var, val) __AS_PROCEDURE(if (var == val) break; var = val;) + +/* hash */ +struct safe_hash { + // https://codeforces.com/blog/entry/62393 + static uint64_t splitmix64(uint64_t x) { + // http://xorshift.di.unimi.it/splitmix64.c + 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); + } +}; + +struct pair_hash { + template + size_t operator()(const pair& a) const { + auto hash1 = safe_hash()(a.first); + auto hash2 = safe_hash()(a.second); + if (hash1 != hash2) { + return hash1 ^ hash2; + } + return hash1; + } +}; + +/* build data structures */ +#define unordered_counter(from, to) __AS_PROCEDURE(unordered_map<__as_typeof(from), size_t, safe_hash> to; for (auto&& x : from) ++to[x];) +#define counter(from, to, cmp) __AS_PROCEDURE(map<__as_typeof(from), size_t, cmp> to; for (auto&& x : from) ++to[x];) +#define pa(a) __AS_PROCEDURE(__typeof(a) pa; pa.push_back({}); for (auto&&x : a) pa.push_back(pa.back() + x);) +#define sa(a) __AS_PROCEDURE(__typeof(a) sa(a.size() + 1); {int n = a.size(); for (int i = n - 1; i >= 0; --i) sa[i] = sa[i + 1] + a[i];};) +#define adj(ch, n) __AS_PROCEDURE(vector> ch((n) + 1);) +#define edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v), ch[v].push_back(u);) +#define Edge(ch, u, v) __AS_PROCEDURE(ch[u].push_back(v);) +template pair> discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} +template pair> unordered_discretize(Iterator __first, Iterator __last) { + set st(__first, __last); + size_t N = 0; + unordered_map mp; + for (auto&& x : st) mp[x] = ++N; + return {N, mp}; +} + +/* io */ +#define untie __AS_PROCEDURE(ios_base::sync_with_stdio(0), cin.tie(NULL)) +template void __read(T& x) { cin >> x; } +template void __read(T& x, U&... args) { cin >> x; __read(args...); } +#define read(type, ...) __AS_PROCEDURE(type __VA_ARGS__; __read(__VA_ARGS__);) +#define readvec(type, a, n) __AS_PROCEDURE(vector a(n); for (int i = 0; i < (n); ++i) cin >> a[i];) +#define putvec(a) __AS_PROCEDURE(for (auto&& x : a) cout << x << ' '; cout << endl;) +#define debug(x) __AS_PROCEDURE(cerr << #x" = " << (x) << endl;) +#define debugvec(a) __AS_PROCEDURE(cerr << #a" = "; for (auto&& x : a) cerr << x << ' '; cerr << endl;) +template ostream& operator<<(ostream& out, const pair& p) { + out << "{" << p.first << ", " << p.second << "}"; + return out; +} +template +void print_tuple_impl(std::basic_ostream& os, const Tuple& t, std::index_sequence) { + using swallow = int[]; // guaranties left to right order + (void)swallow { 0, (void(os << (Index == 0 ? "" : ", ") << std::get(t)), 0)... }; +} +template +decltype(auto) operator<<(std::basic_ostream& os, const std::tuple& t) { + os << "{"; + print_tuple_impl(os, t, std::index_sequence_for{}); + return os << "}"; +} +template ostream& operator<<(ostream& out, const vector& vec) { + for (auto&& i : vec) out << i << ' '; + return out; +} + +/* pops */ +#define poptop(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.top(); q.pop();) +#define popback(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.back(); q.pop_back();) +#define popfront(q, ...) __AS_PROCEDURE(auto [__VA_ARGS__] = q.front();q.pop_front();) + +/* math */ +constexpr inline int lg2(ll x) { return x == 0 ? -1 : sizeof(ll) * 8 - 1 - __builtin_clzll(x); } + +void __exgcd(ll a, ll b, ll& x, ll& y) { + if (b == 0) { + x = 1, y = 0; + return; + } + __exgcd(b, a % b, y, x); + y -= a / b * x; +} + +ll inverse(ll a, ll b) { + ll x, y; + __exgcd(a, b, x, y); + return mod(x, b); +} + +vector> decompose(ll x) { + vector> res; + for (int i = 2; i * i <= x; i++) { + if (x % i == 0) { + int cnt = 0; + ll pw = 1; + while (x % i == 0) ++cnt, x /= i, pw *= i; + res.emplace_back(i, cnt, pw); + } + } + if (x != 1) { + res.emplace_back(x, 1, x); + } + return res; +} + +/* string algorithms */ +vector calc_next(string t) { // pi function of t + int n = (int)t.length(); + vector pi(n); + for (int i = 1; i < n; i++) { + int j = pi[i - 1]; + while (j > 0 && t[i] != t[j]) j = pi[j - 1]; + if (t[i] == t[j]) j++; + pi[i] = j; + } + return pi; +} +vector calc_z(string t) { // z function of t + int m = t.length(); + vector z; + z.push_back(m); + pair prev = {1, -1}; + for (int i = 1; i < m; ++i) { + if (z[i - prev.first] + i <= prev.second) { + z.push_back(z[i - prev.first]); + } else { + int j = max(i, prev.second + 1); + while (j < m && t[j] == t[j - i]) ++j; + z.push_back(j - i); + prev = {i, j - 1}; + } + } + return z; +} +vector kmp(string s, string t) { // find all t in s + string cur = t + '#' + s; + int sz1 = s.size(), sz2 = t.size(); + vector v; + vector lps = calc_next(cur); + for (int i = sz2 + 1; i <= sz1 + sz2; i++) { + if (lps[i] == sz2) v.push_back(i - 2 * sz2); + } + return v; +} +int period(string s) { // find the length of shortest recurring period + int n = s.length(); + auto z = calc_z(s); + for (int i = 1; i <= n / 2; ++i) { + if (n % i == 0 && z[i] == n - i) { + return i; + } + } + return n; +} +///////////////////////////////////////////////////////// + +// #define SINGLE_TEST_CASE +// #define DUMP_TEST_CASE 512 + +template struct MLL { + ll val; + MLL(ll v = 0) : val(mod(v, mdl)) {} + friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); } + friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); } + friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); } + friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); } + friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); } + friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; } + friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; } + void operator+=(const MLL& rhs) { val = (*this + rhs).val; } + void operator-=(const MLL& rhs) { val = (*this - rhs).val; } + void operator*=(const MLL& rhs) { val = (*this * rhs).val; } + void operator/=(const MLL& rhs) { val = (*this / rhs).val; } + void operator%=(const MLL& rhs) { val = (*this % rhs).val; } +}; + +template +ostream& operator<<(ostream& out, const MLL& num) { + return out << num.val; +} + +template +istream& operator>>(istream& in, MLL& num) { + return in >> num.val; +} + +void dump() {} + +constexpr int MAXN = 4e6 + 10; + +MLL fact[MAXN]; +void prep() { + fact[0] = 1; + for (int i = 1; i < MAXN; ++i) { + fact[i] = fact[i - 1] * i; + } +} + +void solve() { + using ll = MLL; + read(int, a, b, c, d); + auto comb = [&] (int n, int m) -> ll { + return fact[n] / fact[m] / fact[n - m]; + }; + if (a == b) { + if (a == 0) { + if (d && c) { + cout << 0 << '\n'; + } else { + cout << 1 << '\n'; + } + return; + } + ll res = comb(c + a - 1, c) * comb(d + a, d) + comb(c + a, c) * comb(d + a - 1, d); + cout << res << '\n'; + } else if (a == b + 1) { + ll res = comb(c + b, c) * comb(d + b, d); + cout << res << '\n'; + } else if (b == a + 1) { + ll res = comb(c + a, c) * comb(d + a, d); + cout << res << '\n'; + } else { + cout << 0 << '\n'; + } +} + +int main() { +#if __cplusplus < 201703L || defined(_MSC_VER) && !defined(__clang__) + assert(false && "incompatible compiler variant detected."); +#endif + untie, cout.tie(NULL); + prep(); +#ifdef SINGLE_TEST_CASE + solve(); +#else + read(int, t); + for (int i = 0; i < t; ++i) { +#ifdef DUMP_TEST_CASE + if (i + 1 == (DUMP_TEST_CASE)) { + dump(); + } else { + solve(); + } +#else + solve(); +#endif + } +#endif +} diff --git a/src/bin/std.in b/src/bin/std.in index 7ff7458..70f96e7 100644 --- a/src/bin/std.in +++ b/src/bin/std.in @@ -1 +1,7 @@ -3 11 +8 3 4 +1 3 8 +3 24 10 +2 2 5 +1 5 15 +2 5 5 +2 7 8 diff --git a/src/bin/test.cc b/src/bin/test.cc index 6544915..b3c7b83 100644 --- a/src/bin/test.cc +++ b/src/bin/test.cc @@ -256,67 +256,144 @@ void dump() {} void prep() {} -template struct MLL { - ll val; - MLL(ll v = 0) : val(mod(v, mdl)) {} - friend MLL operator+(const MLL& lhs, const MLL& rhs) { return mod(lhs.val + rhs.val, mdl); } - friend MLL operator-(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - rhs.val, mdl); } - friend MLL operator*(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * rhs.val, mdl); } - friend MLL operator/(const MLL& lhs, const MLL& rhs) { return mod(lhs.val * mod(inverse(rhs.val, mdl), mdl), mdl); } - friend MLL operator%(const MLL& lhs, const MLL& rhs) { return mod(lhs.val - (lhs / rhs).val, mdl); } - friend bool operator==(const MLL& lhs, const MLL& rhs) { return lhs.val == rhs.val; } - friend bool operator!=(const MLL& lhs, const MLL& rhs) { return lhs.val != rhs.val; } - void operator+=(const MLL& rhs) { val = (*this + rhs).val; } - void operator-=(const MLL& rhs) { val = (*this - rhs).val; } - void operator*=(const MLL& rhs) { val = (*this * rhs).val; } - void operator/=(const MLL& rhs) { val = (*this / rhs).val; } - void operator%=(const MLL& rhs) { val = (*this % rhs).val; } -}; +template> class segtree { +private: + using size_type = uint64_t; + using info_type = Addable_Info_t; + using tag_type = Tag_t; + size_type _max; + vector d; + vector b; -template -ostream& operator<<(ostream& out, const MLL& num) { - return out << num.val; -} + void pull(size_type p) { + d[p] = d[p * 2] + d[p * 2 + 1]; + } -template -istream& operator>>(istream& in, MLL& num) { - return in >> num.val; -} + void push(size_type p, size_type left_len, size_type right_len) { + d[p * 2].apply(b[p], left_len), d[p * 2 + 1].apply(b[p], right_len); + b[p * 2].apply(b[p]), b[p * 2 + 1].apply(b[p]); + b[p] = tag_type(); + } -struct slice_hash { - using hash_type = pair, MLL>; - int n; - vector> pw1; - vector> pw2; - vector> hash1; - vector> hash2; - slice_hash(const string& s) : n(s.size()), pw1(n + 1), pw2(n + 1), hash1(n + 1), hash2(n + 1) { - constexpr int b = 31; - pw1[0] = 1, pw2[0] = 1; - for (int i = 1; i <= n; ++i) { - hash1[i] = hash1[i - 1] + s[i - 1] * pw1[i - 1]; - hash2[i] = hash2[i - 1] + s[i - 1] * pw2[i - 1]; - pw1[i] = pw1[i - 1] * b; - pw2[i] = pw2[i - 1] * b; + void set(size_type s, size_type t, size_type p, size_type x, const info_type& c) { + if (s == t) { + d[p] = c; + return; } + size_type m = s + (t - s >> 1); + if (s != t) push(p, m - s + 1, t - m); + if (x <= m) set(s, m, p * 2, x, c); + else set(m + 1, t, p * 2 + 1, x, c); + d[p] = d[p * 2] + d[p * 2 + 1]; + } + + void range_apply(size_type s, size_type t, size_type p, size_type l, size_type r, const tag_type& c) { + if (l <= s && t <= r) { + d[p].apply(c, t - s + 1); + b[p].apply(c); + return; + } + size_type m = s + (t - s >> 1); + push(p, m - s + 1, t - m); + if (l <= m) range_apply(s, m, p * 2, l, r, c); + if (r > m) range_apply(m + 1, t, p * 2 + 1, l, r, c); + pull(p); } - // query [l, r] - hash_type hash(int l, int r) { - return { (hash1[r + 1] - hash1[l]) / pw1[l], (hash2[r + 1] - hash2[l]) / pw2[l] }; + info_type range_query(size_type s, size_type t, size_type p, size_type l, size_type r) { + if (l <= s && t <= r) { + return d[p]; + } + size_type m = s + (t - s >> 1); + info_type res = {}; + push(p, m - s + 1, t - m); + if (l <= m) res = res + range_query(s, m, p * 2, l, r); + if (r > m) res = res + range_query(m + 1, t, p * 2 + 1, l, r); + return res; + } + + void build(const Sequence& a, size_type s, size_type t, size_type p) { + if (s == t) { + d[p] = a[s]; + return; + } + int m = s + (t - s >> 1); + build(a, s, m, p * 2); + build(a, m + 1, t, p * 2 + 1); + pull(p); + } +public: + segtree(size_type __max) : d(4 * __max), b(4 * __max), _max(__max - 1) {} + segtree(const Sequence& a) : segtree(a.size()) { + build(a, {}, _max, 1); + } + + void set(size_type i, const info_type& c) { + set({}, _max, 1, i, c); + } + + void range_apply(size_type l, size_type r, const tag_type& c) { + range_apply({}, _max, 1, l, r, c); + } + + void apply(size_type i, const tag_type& c) { + range_apply(i, i, c); + } + + info_type range_query(size_type l, size_type r) { + return range_query({}, _max, 1, l, r); + } + + info_type query(size_type i) { + return range_query(i, i); + } + + Sequence serialize() { + Sequence res = {}; + for (size_type i = 0; i <= _max; ++i) { + res.push_back(query(i)); + } + return res; + } + + const vector& get_d() { + return d; } }; +struct Set_Tag { + ll val = -1; + void apply(const Set_Tag& rhs) { + if (rhs.val != -1) + val = rhs.val; + } +}; + +struct Set_Info { + ll val = 0; + void apply(const Set_Tag& rhs, size_t len) { + if (rhs.val != -1) + val = rhs.val * len; + } +}; + +Set_Info operator+(const Set_Info &a, const Set_Info &b) { + return {a.val + b.val}; +} + void solve() { - auto oddcount = [] (ll a, ll b) -> ll { - return (b - a) / 2 + (a & 1 | b & 1); - }; - debug(oddcount(2, 3)); - debug(oddcount(1, 3)); - debug(oddcount(1, 2)); - debug(oddcount(2, 5)); - debug(oddcount(1, 5)); - debug(oddcount(1, 4)); + segtree tr(5); + tr.range_apply(0, 3, {1}); + for (auto&& x : tr.serialize()) { + cerr << x.val << ' '; + } + cerr << endl; + assert(tr.range_query(0, 4).val == 4); + tr.set(3, {2}); + for (auto&& x : tr.serialize()) { + cerr << x.val << ' '; + } + cerr << endl; } int main() {