結果
問題 | No.1888 Odd Insertion |
ユーザー | maspy |
提出日時 | 2023-11-20 02:33:00 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 208 ms / 2,000 ms |
コード長 | 23,606 bytes |
コンパイル時間 | 5,334 ms |
コンパイル使用メモリ | 317,284 KB |
実行使用メモリ | 15,836 KB |
最終ジャッジ日時 | 2024-09-26 06:31:53 |
合計ジャッジ時間 | 18,585 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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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
5,248 KB |
testcase_01 | AC | 1 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 87 ms
13,280 KB |
testcase_07 | AC | 84 ms
13,148 KB |
testcase_08 | AC | 203 ms
15,836 KB |
testcase_09 | AC | 202 ms
15,536 KB |
testcase_10 | AC | 201 ms
15,708 KB |
testcase_11 | AC | 203 ms
15,416 KB |
testcase_12 | AC | 201 ms
15,712 KB |
testcase_13 | AC | 201 ms
15,832 KB |
testcase_14 | AC | 208 ms
15,384 KB |
testcase_15 | AC | 202 ms
15,836 KB |
testcase_16 | AC | 187 ms
13,248 KB |
testcase_17 | AC | 203 ms
15,712 KB |
testcase_18 | AC | 177 ms
13,152 KB |
testcase_19 | AC | 177 ms
13,088 KB |
testcase_20 | AC | 182 ms
13,136 KB |
testcase_21 | AC | 181 ms
13,144 KB |
testcase_22 | AC | 172 ms
13,240 KB |
testcase_23 | AC | 178 ms
13,148 KB |
testcase_24 | AC | 192 ms
13,080 KB |
testcase_25 | AC | 195 ms
13,248 KB |
testcase_26 | AC | 167 ms
15,712 KB |
testcase_27 | AC | 118 ms
14,804 KB |
testcase_28 | AC | 146 ms
14,772 KB |
testcase_29 | AC | 112 ms
13,080 KB |
testcase_30 | AC | 138 ms
13,148 KB |
testcase_31 | AC | 151 ms
13,148 KB |
testcase_32 | AC | 118 ms
15,712 KB |
testcase_33 | AC | 128 ms
14,844 KB |
testcase_34 | AC | 126 ms
14,880 KB |
testcase_35 | AC | 158 ms
15,676 KB |
testcase_36 | AC | 153 ms
15,712 KB |
testcase_37 | AC | 148 ms
14,812 KB |
testcase_38 | AC | 156 ms
15,712 KB |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp" #if defined(LOCAL) #include <my_template_compiled.hpp> #else #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> using namespace std; using ll = long long; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; template <class T> constexpr T infty = 0; template <> constexpr int infty<int> = 1'000'000'000; template <> constexpr ll infty<ll> = ll(infty<int>) * infty<int> * 2; template <> constexpr u32 infty<u32> = infty<int>; template <> constexpr u64 infty<u64> = infty<ll>; template <> constexpr i128 infty<i128> = i128(infty<ll>) * infty<ll>; template <> constexpr double infty<double> = infty<ll>; template <> constexpr long double infty<long double> = infty<ll>; using pi = pair<ll, ll>; using vi = vector<ll>; template <class T> using vc = vector<T>; template <class T> using vvc = vector<vc<T>>; template <class T> using vvvc = vector<vvc<T>>; template <class T> using vvvvc = vector<vvvc<T>>; template <class T> using vvvvvc = vector<vvvvc<T>>; template <class T> using pq = priority_queue<T>; template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>; #define vv(type, name, h, ...) \ vector<vector<type>> name(h, vector<type>(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector<vector<vector<type>>> name( \ h, vector<vector<type>>(w, vector<type>(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector<vector<vector<vector<type>>>> name( \ a, vector<vector<vector<type>>>( \ b, vector<vector<type>>(c, vector<type>(__VA_ARGS__)))) // https://trap.jp/post/1224/ #define FOR1(a) for (ll _ = 0; _ < ll(a); ++_) #define FOR2(i, a) for (ll i = 0; i < ll(a); ++i) #define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i) #define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c)) #define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i) #define overload4(a, b, c, d, e, ...) e #define overload3(a, b, c, d, ...) d #define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__) #define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__) #define FOR_subset(t, s) \ for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s))) #define all(x) x.begin(), x.end() #define len(x) ll(x.size()) #define elif else if #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second #define stoi stoll int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(ll x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } int popcnt_mod_2(int x) { return __builtin_parity(x); } int popcnt_mod_2(u32 x) { return __builtin_parity(x); } int popcnt_mod_2(ll x) { return __builtin_parityll(x); } int popcnt_mod_2(u64 x) { return __builtin_parityll(x); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template <typename T> T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template <typename T> T ceil(T x, T y) { return floor(x + y - 1, y); } template <typename T> T bmod(T x, T y) { return x - y * floor(x, y); } template <typename T> pair<T, T> divmod(T x, T y) { T q = floor(x, y); return {q, x - q * y}; } template <typename T, typename U> T SUM(const vector<U> &A) { T sm = 0; for (auto &&a: A) sm += a; return sm; } #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) \ sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit() template <typename T> T POP(deque<T> &que) { T a = que.front(); que.pop_front(); return a; } template <typename T> T POP(pq<T> &que) { T a = que.top(); que.pop(); return a; } template <typename T> T POP(pqg<T> &que) { T a = que.top(); que.pop(); return a; } template <typename T> T POP(vc<T> &que) { T a = que.back(); que.pop_back(); return a; } template <typename F> ll binary_search(F check, ll ok, ll ng, bool check_ok = true) { if (check_ok) assert(check(ok)); while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; (check(x) ? ok : ng) = x; } return ok; } template <typename F> double binary_search_real(F check, double ok, double ng, int iter = 100) { FOR(iter) { double x = (ok + ng) / 2; (check(x) ? ok : ng) = x; } return (ok + ng) / 2; } template <class T, class S> inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template <class T, class S> inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } // ? は -1 vc<int> s_to_vi(const string &S, char first_char) { vc<int> A(S.size()); FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); } return A; } template <typename T, typename U> vector<T> cumsum(vector<U> &A, int off = 1) { int N = A.size(); vector<T> B(N + 1); FOR(i, N) { B[i + 1] = B[i] + A[i]; } if (off == 0) B.erase(B.begin()); return B; } // stable sort template <typename T> vector<int> argsort(const vector<T> &A) { vector<int> ids(len(A)); iota(all(ids), 0); sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); }); return ids; } // A[I[0]], A[I[1]], ... template <typename T> vc<T> rearrange(const vc<T> &A, const vc<int> &I) { vc<T> B(len(I)); FOR(i, len(I)) B[i] = A[I[i]]; return B; } #endif #line 1 "/home/maspy/compro/library/other/io.hpp" #define FASTIO #include <unistd.h> // https://judge.yosupo.jp/submission/21623 namespace fastio { static constexpr uint32_t SZ = 1 << 17; char ibuf[SZ]; char obuf[SZ]; char out[100]; // pointer of ibuf, obuf uint32_t pil = 0, pir = 0, por = 0; struct Pre { char num[10000][4]; constexpr Pre() : num() { for (int i = 0; i < 10000; i++) { int n = i; for (int j = 3; j >= 0; j--) { num[i][j] = n % 10 | '0'; n /= 10; } } } } constexpr pre; inline void load() { memcpy(ibuf, ibuf + pil, pir - pil); pir = pir - pil + fread(ibuf + pir - pil, 1, SZ - pir + pil, stdin); pil = 0; if (pir < SZ) ibuf[pir++] = '\n'; } inline void flush() { fwrite(obuf, 1, por, stdout); por = 0; } void rd(char &c) { do { if (pil + 1 > pir) load(); c = ibuf[pil++]; } while (isspace(c)); } void rd(string &x) { x.clear(); char c; do { if (pil + 1 > pir) load(); c = ibuf[pil++]; } while (isspace(c)); do { x += c; if (pil == pir) load(); c = ibuf[pil++]; } while (!isspace(c)); } template <typename T> void rd_real(T &x) { string s; rd(s); x = stod(s); } template <typename T> void rd_integer(T &x) { if (pil + 100 > pir) load(); char c; do c = ibuf[pil++]; while (c < '-'); bool minus = 0; if constexpr (is_signed<T>::value || is_same_v<T, i128>) { if (c == '-') { minus = 1, c = ibuf[pil++]; } } x = 0; while ('0' <= c) { x = x * 10 + (c & 15), c = ibuf[pil++]; } if constexpr (is_signed<T>::value || is_same_v<T, i128>) { if (minus) x = -x; } } void rd(int &x) { rd_integer(x); } void rd(ll &x) { rd_integer(x); } void rd(i128 &x) { rd_integer(x); } void rd(u32 &x) { rd_integer(x); } void rd(u64 &x) { rd_integer(x); } void rd(u128 &x) { rd_integer(x); } void rd(double &x) { rd_real(x); } void rd(long double &x) { rd_real(x); } void rd(f128 &x) { rd_real(x); } template <class T, class U> void rd(pair<T, U> &p) { return rd(p.first), rd(p.second); } template <size_t N = 0, typename T> void rd_tuple(T &t) { if constexpr (N < std::tuple_size<T>::value) { auto &x = std::get<N>(t); rd(x); rd_tuple<N + 1>(t); } } template <class... T> void rd(tuple<T...> &tpl) { rd_tuple(tpl); } template <size_t N = 0, typename T> void rd(array<T, N> &x) { for (auto &d: x) rd(d); } template <class T> void rd(vc<T> &x) { for (auto &d: x) rd(d); } void read() {} template <class H, class... T> void read(H &h, T &... t) { rd(h), read(t...); } void wt(const char c) { if (por == SZ) flush(); obuf[por++] = c; } void wt(const string s) { for (char c: s) wt(c); } void wt(const char *s) { size_t len = strlen(s); for (size_t i = 0; i < len; i++) wt(s[i]); } template <typename T> void wt_integer(T x) { if (por > SZ - 100) flush(); if (x < 0) { obuf[por++] = '-', x = -x; } int outi; for (outi = 96; x >= 10000; outi -= 4) { memcpy(out + outi, pre.num[x % 10000], 4); x /= 10000; } if (x >= 1000) { memcpy(obuf + por, pre.num[x], 4); por += 4; } else if (x >= 100) { memcpy(obuf + por, pre.num[x] + 1, 3); por += 3; } else if (x >= 10) { int q = (x * 103) >> 10; obuf[por] = q | '0'; obuf[por + 1] = (x - q * 10) | '0'; por += 2; } else obuf[por++] = x | '0'; memcpy(obuf + por, out + outi + 4, 96 - outi); por += 96 - outi; } template <typename T> void wt_real(T x) { ostringstream oss; oss << fixed << setprecision(15) << double(x); string s = oss.str(); wt(s); } void wt(int x) { wt_integer(x); } void wt(ll x) { wt_integer(x); } void wt(i128 x) { wt_integer(x); } void wt(u32 x) { wt_integer(x); } void wt(u64 x) { wt_integer(x); } void wt(u128 x) { wt_integer(x); } void wt(double x) { wt_real(x); } void wt(long double x) { wt_real(x); } void wt(f128 x) { wt_real(x); } template <class T, class U> void wt(const pair<T, U> val) { wt(val.first); wt(' '); wt(val.second); } template <size_t N = 0, typename T> void wt_tuple(const T t) { if constexpr (N < std::tuple_size<T>::value) { if constexpr (N > 0) { wt(' '); } const auto x = std::get<N>(t); wt(x); wt_tuple<N + 1>(t); } } template <class... T> void wt(tuple<T...> tpl) { wt_tuple(tpl); } template <class T, size_t S> void wt(const array<T, S> val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) wt(' '); wt(val[i]); } } template <class T> void wt(const vector<T> val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) wt(' '); wt(val[i]); } } void print() { wt('\n'); } template <class Head, class... Tail> void print(Head &&head, Tail &&... tail) { wt(head); if (sizeof...(Tail)) wt(' '); print(forward<Tail>(tail)...); } // gcc expansion. called automaticall after main. void __attribute__((destructor)) _d() { flush(); } } // namespace fastio using fastio::read; using fastio::print; using fastio::flush; #define INT(...) \ int __VA_ARGS__; \ read(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ read(__VA_ARGS__) #define U32(...) \ u32 __VA_ARGS__; \ read(__VA_ARGS__) #define U64(...) \ u64 __VA_ARGS__; \ read(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ read(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ read(__VA_ARGS__) #define VEC(type, name, size) \ vector<type> name(size); \ read(name) #define VV(type, name, h, w) \ vector<vector<type>> name(h, vector<type>(w)); \ read(name) void YES(bool t = 1) { print(t ? "YES" : "NO"); } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { print(t ? "Yes" : "No"); } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { print(t ? "yes" : "no"); } void no(bool t = 1) { yes(!t); } #line 3 "main.cpp" #line 2 "/home/maspy/compro/library/ds/segtree/segtree.hpp" template <class Monoid> struct SegTree { using MX = Monoid; using X = typename MX::value_type; using value_type = X; vc<X> dat; int n, log, size; SegTree() {} SegTree(int n) { build(n); } template <typename F> SegTree(int n, F f) { build(n, f); } SegTree(const vc<X>& v) { build(v); } void build(int m) { build(m, [](int i) -> X { return MX::unit(); }); } void build(const vc<X>& v) { build(len(v), [&](int i) -> X { return v[i]; }); } template <typename F> void build(int m, F f) { n = m, log = 1; while ((1 << log) < n) ++log; size = 1 << log; dat.assign(size << 1, MX::unit()); FOR(i, n) dat[size + i] = f(i); FOR_R(i, 1, size) update(i); } X get(int i) { return dat[size + i]; } vc<X> get_all() { return {dat.begin() + size, dat.begin() + size + n}; } void update(int i) { dat[i] = Monoid::op(dat[2 * i], dat[2 * i + 1]); } void set(int i, const X& x) { assert(i < n); dat[i += size] = x; while (i >>= 1) update(i); } void multiply(int i, const X& x) { assert(i < n); i += size; dat[i] = Monoid::op(dat[i], x); while (i >>= 1) update(i); } X prod(int L, int R) { assert(0 <= L && L <= R && R <= n); X vl = Monoid::unit(), vr = Monoid::unit(); L += size, R += size; while (L < R) { if (L & 1) vl = Monoid::op(vl, dat[L++]); if (R & 1) vr = Monoid::op(dat[--R], vr); L >>= 1, R >>= 1; } return Monoid::op(vl, vr); } X prod_all() { return dat[1]; } template <class F> int max_right(F check, int L) { assert(0 <= L && L <= n && check(Monoid::unit())); if (L == n) return n; L += size; X sm = Monoid::unit(); do { while (L % 2 == 0) L >>= 1; if (!check(Monoid::op(sm, dat[L]))) { while (L < size) { L = 2 * L; if (check(Monoid::op(sm, dat[L]))) { sm = Monoid::op(sm, dat[L++]); } } return L - size; } sm = Monoid::op(sm, dat[L++]); } while ((L & -L) != L); return n; } template <class F> int min_left(F check, int R) { assert(0 <= R && R <= n && check(Monoid::unit())); if (R == 0) return 0; R += size; X sm = Monoid::unit(); do { --R; while (R > 1 && (R % 2)) R >>= 1; if (!check(Monoid::op(dat[R], sm))) { while (R < size) { R = 2 * R + 1; if (check(Monoid::op(dat[R], sm))) { sm = Monoid::op(dat[R--], sm); } } return R + 1 - size; } sm = Monoid::op(dat[R], sm); } while ((R & -R) != R); return 0; } // prod_{l<=i<r} A[i xor x] X xor_prod(int l, int r, int xor_val) { static_assert(Monoid::commute); X x = Monoid::unit(); for (int k = 0; k < log + 1; ++k) { if (l >= r) break; if (l & 1) { x = Monoid::op(x, dat[(size >> k) + ((l++) ^ xor_val)]); } if (r & 1) { x = Monoid::op(x, dat[(size >> k) + ((--r) ^ xor_val)]); } l /= 2, r /= 2, xor_val /= 2; } return x; } }; #line 1 "/home/maspy/compro/library/ds/fastset.hpp" // 64-ary tree // space: (N/63) * u64 struct FastSet { static constexpr u32 B = 64; int n, log; vvc<u64> seg; FastSet() {} FastSet(int n) { build(n); } template <typename F> FastSet(int n, F f) { build(n, f); } void build(int m) { seg.clear(); n = m; do { seg.push_back(vc<u64>((m + B - 1) / B)); m = (m + B - 1) / B; } while (m > 1); log = len(seg); } template <typename F> void build(int n, F f) { build(n); FOR(i, n) { seg[0][i / B] |= u64(f(i)) << (i % B); } FOR(h, log - 1) { FOR(i, len(seg[h])) { seg[h + 1][i / B] |= u64(bool(seg[h][i])) << (i % B); } } } bool operator[](int i) const { return seg[0][i / B] >> (i % B) & 1; } void insert(int i) { for (int h = 0; h < log; h++) { seg[h][i / B] |= u64(1) << (i % B), i /= B; } } void add(int i) { insert(i); } void erase(int i) { u64 x = 0; for (int h = 0; h < log; h++) { seg[h][i / B] &= ~(u64(1) << (i % B)); seg[h][i / B] |= x << (i % B); x = bool(seg[h][i / B]); i /= B; } } void remove(int i) { erase(i); } // min[x,n) or n int next(int i) { assert(i <= n); chmax(i, 0); for (int h = 0; h < log; h++) { if (i / B == seg[h].size()) break; u64 d = seg[h][i / B] >> (i % B); if (!d) { i = i / B + 1; continue; } i += lowbit(d); for (int g = h - 1; g >= 0; g--) { i *= B; i += lowbit(seg[g][i / B]); } return i; } return n; } // max [0,x], or -1 int prev(int i) { assert(i >= -1); if (i >= n) i = n - 1; for (int h = 0; h < log; h++) { if (i == -1) break; u64 d = seg[h][i / B] << (63 - i % B); if (!d) { i = i / B - 1; continue; } i -= __builtin_clzll(d); for (int g = h - 1; g >= 0; g--) { i *= B; i += topbit(seg[g][i / B]); } return i; } return -1; } // [l, r) template <typename F> void enumerate(int l, int r, F f) { for (int x = next(l); x < r; x = next(x + 1)) f(x); } string to_string() { string s(n, '?'); for (int i = 0; i < n; ++i) s[i] = ((*this)[i] ? '1' : '0'); return s; } }; #line 2 "/home/maspy/compro/library/alg/monoid/add.hpp" template <typename X> struct Monoid_Add { using value_type = X; static constexpr X op(const X &x, const X &y) noexcept { return x + y; } static constexpr X inverse(const X &x) noexcept { return -x; } static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; } static constexpr X unit() { return X(0); } static constexpr bool commute = true; }; #line 3 "/home/maspy/compro/library/ds/fenwicktree/fenwicktree.hpp" template <typename Monoid> struct FenwickTree { using G = Monoid; using E = typename G::value_type; int n; vector<E> dat; E total; FenwickTree() {} FenwickTree(int n) { build(n); } template <typename F> FenwickTree(int n, F f) { build(n, f); } FenwickTree(const vc<E>& v) { build(v); } void build(int m) { n = m; dat.assign(m, G::unit()); total = G::unit(); } void build(const vc<E>& v) { build(len(v), [&](int i) -> E { return v[i]; }); } template <typename F> void build(int m, F f) { n = m; dat.clear(); dat.reserve(n); total = G::unit(); FOR(i, n) { dat.eb(f(i)); } for (int i = 1; i <= n; ++i) { int j = i + (i & -i); if (j <= n) dat[j - 1] = G::op(dat[i - 1], dat[j - 1]); } total = prefix_sum(m); } E prod_all() { return total; } E sum_all() { return total; } E sum(int k) { return prefix_sum(k); } E prod(int k) { return prefix_prod(k); } E prefix_sum(int k) { return prefix_prod(k); } E prefix_prod(int k) { chmin(k, n); E ret = G::unit(); for (; k > 0; k -= k & -k) ret = G::op(ret, dat[k - 1]); return ret; } E sum(int L, int R) { return prod(L, R); } E prod(int L, int R) { chmax(L, 0), chmin(R, n); if (L == 0) return prefix_prod(R); assert(0 <= L && L <= R && R <= n); E pos = G::unit(), neg = G::unit(); while (L < R) { pos = G::op(pos, dat[R - 1]), R -= R & -R; } while (R < L) { neg = G::op(neg, dat[L - 1]), L -= L & -L; } return G::op(pos, G::inverse(neg)); } void add(int k, E x) { multiply(k, x); } void multiply(int k, E x) { static_assert(G::commute); total = G::op(total, x); for (++k; k <= n; k += k & -k) dat[k - 1] = G::op(dat[k - 1], x); } template <class F> int max_right(const F check) { assert(check(G::unit())); int i = 0; E s = G::unit(); int k = 1; while (2 * k <= n) k *= 2; while (k) { if (i + k - 1 < len(dat)) { E t = G::op(s, dat[i + k - 1]); if (check(t)) { i += k, s = t; } } k >>= 1; } return i; } // check(i, x) template <class F> int max_right_with_index(const F check) { assert(check(0, G::unit())); int i = 0; E s = G::unit(); int k = 1; while (2 * k <= n) k *= 2; while (k) { if (i + k - 1 < len(dat)) { E t = G::op(s, dat[i + k - 1]); if (check(i + k, t)) { i += k, s = t; } } k >>= 1; } return i; } int kth(E k) { return max_right([&k](E x) -> bool { return x <= k; }); } }; #line 7 "main.cpp" /* A[0],...,A[i] のうちひとつが手元にある A[1+i] を追加 どれかを置く - A[1+i] を手元に残せるか? - 手元のうちでその時点でのランクが偶数のものがあるか - 手元にある x をキープできるか - x をキープしても A[1+i] が偶数番目かどうか - prefix, suffix どちらかが無理になる - rank even で残せないものの個数 / 残せるものの個数 - rank odd で残せないものの個数 / 残せるものの個数 */ using Data = array<array<int, 2>, 2>; struct Mono { using value_type = Data; using X = value_type; static X op(X x, X y) { int left = x[0][0] + x[0][1] + x[1][0] + x[1][1]; FOR(i, 2) FOR(j, 2) { int k = (i + left) % 2; x[k][j] += y[i][j]; } return x; } static constexpr X unit() { return {0, 0, 0, 0}; } static constexpr bool commute = 0; }; void solve() { INT(N); VEC(int, A, N); for (auto& x: A) --x; { vc<int> pos(N); FOR(i, N) pos[A[i]] = i; A = pos; } auto to_seg = [&](bool can) -> Data { if (can) return {0, 1, 0, 0}; return {1, 0, 0, 0}; }; SegTree<Mono> seg(N); // A[0] だけ残せるところから始める // x がきたときに手元に x を置くには、par[x] を手元に置いておく vc<int> par(N, -1); FastSet ss(N); ss.insert(A[0]); seg.set(A[0], to_seg(true)); FOR(i, 1, N) { int x = A[i]; auto L = seg.prod(0, x); auto ALL = seg.prod_all(); // x を残せるか bool can = (ALL[0][1] > 0); if (can) { int y = seg.max_right([&](auto e) -> bool { return e[0][1] == 0; }, 0); par[x] = y; } // x を使う場合に手元に残るのは? bool pref = 0; pref = (L[0][0] + L[0][1] + L[1][0] + L[1][1]) % 2 == 1; if (pref) { // suffix の要素は残せなくなる ss.enumerate(x, N, [&](int i) -> void { ss.erase(i); seg.set(i, to_seg(false)); }); } else { ss.enumerate(0, x, [&](int i) -> void { ss.erase(i); seg.set(i, to_seg(false)); }); } if (can) ss.insert(x); seg.set(x, to_seg(can)); } bool ok = false; int last = -1; ss.enumerate(0, N, [&](int x) -> void { if (x % 2 == 0) last = x, ok = true; }); // ああ構築 if (!ok) return No(); Yes(); vc<int> history = {last}; while (1) { int nxt = par[history.back()]; if (nxt == -1) break; history.eb(nxt); } POP(history); FenwickTree<Monoid_Add<int>> bit(N); vc<int> raw(N); FOR(i, N) raw[A[i]] = 1 + i; int have = A[0]; FOR(i, 1, N) { int x = A[i]; if (len(history) && x == history.back()) { // x をキープして have を使う print(raw[have], bit.sum(have) + 1); bit.add(have, 1); have = x; POP(history); } else { // have をキープして x を使う print(raw[x], bit.sum(x) + 1); bit.add(x, 1); } } print(raw[have], bit.sum(have) + 1); } signed main() { int T = 1; // INT(T); FOR(T) solve(); return 0; }