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+#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); +} + +/* 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() {} + +void solve() { + read(ll, n); + ll target = -1, bottom = -1, top = -1; + for (ll i = 2; i <= n + 10; ++i) { + ll left = n - 1 + i + (n - 1) * (n - 2) / 2; + ll right = (n - 1) * i - (n - 1) * (n - 2) / 2 + 1; + ll diff2 = (i - 1) * (i - 1); + ll k = max(ll(0), (diff2 - left) / n); + ll real_left = left + n * k; + ll real_right = right + n * k; + if (diff2 >= real_left && diff2 <= real_right) { + target = diff2; + bottom = 1 + k; + top = i + k; + break; + } + } + assert(target != -1); + // debug(bottom), debug(top); + ll sum = 0; + ll prev = bottom - 1; + for (int i = 0; i < n; ++i) { + ll curr = max(target - sum - (2 * top - (n - 2 - i)) * (n - 1 - i) / 2, prev + 1); + sum += curr; + prev = curr; + cout << curr << " \n"[i + 1 == n]; + } +} + +int main() { + 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 27d2733..21c78ae 100644 --- a/src/bin/std.in +++ b/src/bin/std.in @@ -1,22 +1,2 @@ - -4 5 3 - -00000 -01000 -11100 -01000 - -00000 -01000 -10100 -01000 - -00000 -01010 -10100 -01000 - -00000 -01000 -10100 -01000 +1 +300

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