結果
| 問題 | No.2454 Former < Latter |
| ユーザー |
 ZrjaK
|
| 提出日時 | 2023-11-15 17:22:53 |
| 言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 31,475 bytes |
| コンパイル時間 | 7,132 ms |
| コンパイル使用メモリ | 346,164 KB |
| 実行使用メモリ | 13,480 KB |
| 最終ジャッジ日時 | 2023-11-15 17:23:10 |
| 合計ジャッジ時間 | 12,512 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge15 |
（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 | 4 ms
13,480 KB |
| testcase_01 | WA | - |
| testcase_02 | AC | 25 ms
11,000 KB |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | AC | 34 ms
11,128 KB |
| testcase_07 | AC | 29 ms
11,128 KB |
| testcase_08 | AC | 78 ms
7,136 KB |
| testcase_09 | AC | 31 ms
6,872 KB |
| testcase_10 | AC | 38 ms
6,984 KB |
| testcase_11 | AC | 24 ms
11,000 KB |
| testcase_12 | AC | 24 ms
11,000 KB |
| testcase_13 | AC | 25 ms
11,000 KB |
| testcase_14 | AC | 24 ms
11,000 KB |
| testcase_15 | AC | 49 ms
8,712 KB |
| testcase_16 | WA | - |
| testcase_17 | TLE | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
ソースコード
#ifdef ONLINE_JUDGE
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#endif
#include <bits/stdc++.h>
#include <ext/rope>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/hash_policy.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/trie_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
using namespace std;
using namespace __gnu_cxx;
using namespace __gnu_pbds;
template <class T> using pbds_set = tree<T, null_type, less_equal<T>, rb_tree_tag,tree_order_statistics_node_update>;
using Trie = trie<string, null_type, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update>;
// template <class T> using heapq = __gnu_pbds::priority_queue<T, greater<T>, pairing_heap_tag>;
template <class T> using heapq = std::priority_queue<T, vector<T>, greater<T>>;
using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = __uint128_t;
using f128 = __float128;
using ld = long double;
using ui = unsigned int;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;
using vpii = vector<pii>;
using vpll = vector<pll>;
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>;
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 = std::priority_queue<T>;
template <class T>
using pqg = std::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__))))
#define lb lower_bound
#define ub upper_bound
#define pb push_back
#define pf push_front
#define eb emplace_back
#define fi first
#define se second
#define overload4(_1, _2, _3, _4, name, ...) name
#define overload3(_1, _2, _3, name, ...) name
#define rep1(n) for(ll _ = 0; _ < n; ++_)
#define rep2(i, n) for(ll i = 0; i < n; ++i)
#define rep3(i, a, b) for(ll i = a; i < b; ++i)
#define rep4(i, a, b, c) for(int i = a; i < b; i += c)
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1) (__VA_ARGS__)
#define rrep1(n) for(ll i = n; i--; )
#define rrep2(i, n) for(ll i = n; i--; )
#define rrep3(i, a, b) for(ll i = a; i > b; i--)
#define rrep4(i, a, b, c) for(ll i = a; i > b; i -= c)
#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1) (__VA_ARGS__)
#define each1(i, a) for(auto&& i : a)
#define each2(x, y, a) for(auto&& [x, y] : a)
#define each3(x, y, z, a) for(auto&& [x, y, z] : a)
#define each(...) overload4(__VA_ARGS__, each3, each2, each1) (__VA_ARGS__)
#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 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 len(x) (int)x.size()
#define elif else if
#define all1(i) begin(i), end(i)
#define all2(i, a) begin(i), begin(i) + a
#define all3(i, a, b) begin(i) + a, begin(i) + b
#define all(...) overload3(__VA_ARGS__, all3, all2, all1) (__VA_ARGS__)
#define rall1(i) rbegin(i), rend(i)
#define rall2(i, a) rbegin(i), rbegin(i) + a
#define rall3(i, a, b) rbegin(i) + a, rbegin(i) + b
#define rall(...) overload3(__VA_ARGS__, rall3, rall2, rall1) (__VA_ARGS__)
#define mst(x, a) memset(x, a, sizeof(x))
#define bitcnt(x) (__builtin_popcountll(x))
#define endl "\n"
#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()
#define SORT(a) sort(all(a))
#define REV(a) reverse(all(a))
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); }
// (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<class T> auto max(const T& a){ return *max_element(all(a)); }
template<class T> auto min(const T& a){ return *min_element(all(a)); }
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sum = 0;
for (auto &&a: A) sum += a;
return sum;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
for (int i = 0; i < N; i++) B[i + 1] = B[i] + A[i];
if (off == 0) B.erase(B.begin());
return B;
}
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;
}
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;
}
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) {
assert(!que.empty());
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(vc<T> &que) {
assert(!que.empty());
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) {
while (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);
}
mt19937 rng( chrono::steady_clock::now().time_since_epoch().count() );
#define Ran(a, b) rng() % ( (b) - (a) + 1 ) + (a)
struct custom_hash {
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);
}
size_t operator()(pair<uint64_t,uint64_t> x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x.first + FIXED_RANDOM) ^ (splitmix64(x.second + FIXED_RANDOM) >> 1);
}
};
#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); }
const i128 ONE = 1;
template <typename Iterable>
auto print_all(const Iterable& v, std::string sep = " ", std::string end = "\n") -> decltype(fastio::wt(*v.begin())) {
for (auto it = v.begin(); it != v.end();) {
fastio::wt(*it);
if (++it != v.end()) fastio::wt(sep);
}
fastio::wt(end);
}
ll gcd(ll x, ll y) {
if(!x) return y;
if(!y) return x;
int t = __builtin_ctzll(x | y);
x >>= __builtin_ctzll(x);
do {
y >>= __builtin_ctzll(y);
if (x > y) swap(x, y);
y -= x;
} while (y);
return x << t;
}
ll lcm(ll x, ll y) { return x * y / gcd(x, y); }
ll exgcd(ll a, ll b, ll &x, ll &y) {
if(!b) return x = 1, y = 0, a;
ll d = exgcd(b, a % b, x, y);
ll t = x;
x = y;
y = t - a / b * x;
return d;
}
ll max(ll x, ll y) { return x > y ? x : y; }
ll min(ll x, ll y) { return x < y ? x : y; }
ll Mod(ll x, int mod) { return (x % mod + mod) % mod; }
ll pow(ll x, ll y, ll mod){
ll res = 1, cur = x;
while (y) {
if (y & 1) res = res * cur % mod;
cur = ONE * cur * cur % mod;
y >>= 1;
}
return res % mod;
}
ll probabilityMod(ll x, ll y, ll mod) {
return x * pow(y, mod-2, mod) % mod;
}
vvi getGraph(int n, int m, bool directed = false) {
vvi res(n);
rep(_, 0, m) {
INT(u, v);
u--, v--;
res[u].emplace_back(v);
if(!directed) res[v].emplace_back(u);
}
return res;
}
vector<vpii> getWeightedGraph(int n, int m, bool directed = false) {
vector<vpii> res(n);
rep(_, 0, m) {
INT(u, v, w);
u--, v--;
res[u].emplace_back(v, w);
if(!directed) res[v].emplace_back(u, w);
}
return res;
}
template <class... Args> auto ndvector(size_t n, Args &&...args) {
if constexpr (sizeof...(args) == 1) {
return vector(n, args...);
} else {
return vector(n, ndvector(args...));
}
}
const ll LINF = 0x1fffffffffffffff;
const ll MINF = 0x7fffffffffff;
const int INF = 0x3fffffff;
const int MOD = 1000000007;
const int MODD = 998244353;
const int N = 1e6 + 10;
template<typename Val, typename Compare = std::less<Val>, int BlockSize = 10>
class DirectRMQ {
public:
typedef int Index; //今のところ大きくともintを仮定している(queryとか)
typedef char InBlockIndex;
typedef InBlockIndex(*BlockTypeRef)[BlockSize];
DirectRMQ(Compare comp_ = Compare()) :
blockTypes(0), innerBlockTable(0), sparseTable(0) {
comp = comp_;
calcBallotNumbers();
buildInnerBlockTable();
}
~DirectRMQ() {
delete[] innerBlockTable;
delete[] blockTypes; delete[] sparseTable;
}
void build(const Val *a, Index n) {
blocks = (n + BlockSize - 1) / BlockSize;
stHeight = 0; while(1 << stHeight < blocks) ++ stHeight;
delete[] blockTypes; delete[] sparseTable;
blockTypes = new BlockTypeRef[blocks];
calcBlockTypes(a, n);
buildInnerBlockTable(a, n);
sparseTable = new Index[blocks * stHeight];
buildSparseTable(a);
}
//[l,r]の閉区間
Index query(const Val *a, Index l, Index r) const {
Index x = l / BlockSize, y = r / BlockSize, z = y - x;
if(z == 0) return x * BlockSize + blockTypes[x][l % BlockSize][r % BlockSize];
if(z == 1) return assumeleft_minIndex(a,
x * BlockSize + blockTypes[x][l % BlockSize][BlockSize - 1],
y * BlockSize + blockTypes[y][0][r % BlockSize]);
z -= 2;
Index k = 0, s;
s = ((z & 0xffff0000) != 0) << 4; z >>= s; k |= s;
s = ((z & 0x0000ff00) != 0) << 3; z >>= s; k |= s;
s = ((z & 0x000000f0) != 0) << 2; z >>= s; k |= s;
s = ((z & 0x0000000c) != 0) << 1; z >>= s; k |= s;
s = ((z & 0x00000002) != 0) << 0; z >>= s; k |= s;
return assumeleft_minIndex(a
, assumeleft_minIndex(a,
x * BlockSize + blockTypes[x][l % BlockSize][BlockSize - 1],
sparseTable[x + 1 + blocks * k])
, assumeleft_minIndex(a,
sparseTable[y + blocks * k - (1 << k)],
y * BlockSize + blockTypes[y][0][r % BlockSize])
);
}
Val queryVal(const Val *a, Index l, Index r) const {
Index x = l / BlockSize, y = r / BlockSize, z = y - x;
if(z == 0) return a[x * BlockSize + blockTypes[x][l % BlockSize][r % BlockSize]];
Val edge = minVal(
a[x * BlockSize + blockTypes[x][l % BlockSize][BlockSize - 1]],
a[y * BlockSize + blockTypes[y][0][r % BlockSize]]);
if(z == 1) return edge;
z -= 2;
Index k = 0, s;
s = ((z & 0xffff0000) != 0) << 4; z >>= s; k |= s;
s = ((z & 0x0000ff00) != 0) << 3; z >>= s; k |= s;
s = ((z & 0x000000f0) != 0) << 2; z >>= s; k |= s;
s = ((z & 0x0000000c) != 0) << 1; z >>= s; k |= s;
s = ((z & 0x00000002) != 0) << 0; z >>= s; k |= s;
return minVal(edge, minVal(
a[sparseTable[x + 1 + blocks * k]],
a[sparseTable[y + blocks * k - (1 << k)]]));
}
private:
Compare comp;
int ballotNumbers[BlockSize + 1][BlockSize + 1];
InBlockIndex(*innerBlockTable)[BlockSize][BlockSize];
Index blocks;
int stHeight;
BlockTypeRef *blockTypes;
Index *sparseTable;
inline Index minIndex(const Val *a, Index x, Index y) const {
return comp(a[x], a[y]) || (a[x] == a[y] && x < y) ? x : y;
}
inline Index assumeleft_minIndex(const Val *a, Index x, Index y) const {
return comp(a[y], a[x]) ? y : x;
}
inline Val minVal(Val x, Val y) const {
return comp(y, x) ? y : x;
}
void buildSparseTable(const Val *a) {
Index *b = sparseTable;
if(stHeight) for(Index i = 0; i < blocks; i ++)
b[i] = i * BlockSize + blockTypes[i][0][BlockSize - 1];
for(Index t = 1; t * 2 < blocks; t *= 2) {
std::memcpy(b + blocks, b, blocks * sizeof(Index));
b += blocks;
for(Index i = 0; i < blocks - t; ++ i)
b[i] = assumeleft_minIndex(a, b[i], b[i + t]);
}
}
void buildInnerBlockTable(const Val *a, Index n) {
for(Index i = 0; i < blocks; i ++) {
BlockTypeRef table = blockTypes[i];
if(table[0][0] != -1) continue;
const Val *p = getBlock(a, n, i);
for(InBlockIndex left = 0; left < BlockSize; left ++) {
Val minV = p[left];
InBlockIndex minI = left;
for(InBlockIndex right = left; right < BlockSize; right ++) {
if(comp(p[right], minV)) {
minV = p[right];
minI = right;
}
table[left][right] = minI;
}
}
}
}
//端っこのブロック用に関数内staticなテンポラリ配列を返す
const Val *getBlock(const Val *a, Index n, Index i) {
Index offset = i * BlockSize;
if(offset + BlockSize <= n)
return a + offset;
else {
static Val tmp_a[BlockSize];
std::copy(a + offset, a + n, tmp_a);
Val maxVal = Val();
for(Index j = i; j < n; j ++) //iでなくoffsetでは？(動作には問題ないし計算量もほとんど変わらないけれど…)(バグるのが嫌なので(今まで動いていたので)直すのは後にする)
if(comp(maxVal, a[j])) maxVal = a[j];
std::fill(tmp_a + (n - offset), tmp_a + BlockSize, maxVal);
return tmp_a;
}
}
void calcBlockTypes(const Val *a, Index n) {
Val tmp_rp[BlockSize + 1];
for(Index i = 0; i < blocks; i ++)
blockTypes[i] = calcBlockType(getBlock(a, n, i), tmp_rp);
}
BlockTypeRef calcBlockType(const Val *a, Val *rp) {
int q = BlockSize, N = 0;
for(int i = 0; i < BlockSize; i ++) {
while(q + i - BlockSize > 0 && comp(a[i], rp[q + i - BlockSize])) {
N += ballotNumbers[BlockSize - i - 1][q];
q --;
}
rp[q + i + 1 - BlockSize] = a[i];
}
return innerBlockTable[N];
}
void calcBallotNumbers() {
for(int p = 0; p <= BlockSize; p ++) {
for(int q = 0; q <= BlockSize; q ++) {
if(p == 0 && q == 0)
ballotNumbers[p][q] = 1;
else if(p <= q)
ballotNumbers[p][q] =
(q ? ballotNumbers[p][q - 1] : 0) +
(p ? ballotNumbers[p - 1][q] : 0);
else
ballotNumbers[p][q] = 0;
}
}
}
void buildInnerBlockTable() {
int numberOfTrees = ballotNumbers[BlockSize][BlockSize];
innerBlockTable = new InBlockIndex[numberOfTrees][BlockSize][BlockSize];
for(int i = 0; i < numberOfTrees; i ++)
innerBlockTable[i][0][0] = -1;
}
};
class SuffixArray {
public:
typedef char Alpha;
typedef int Index;
void build(const Alpha *str, Index n, int AlphaSize);
void build(const Alpha *str, Index n);
void buildAll(const Alpha *str, Index n);
inline Index getKThSuffix(Index k) const { return suffixArray[k]; }
inline Index length() const { return static_cast<Index>(suffixArray.size() - 1); }
std::vector<Index> suffixArray;
template<typename AlphaT> void sa_is(const AlphaT *str, Index n, int AlphaSize, Index *sa, std::vector<Index> &bucketOffsets);
template<typename AlphaT> void inducedSort(const AlphaT *str, Index n, int AlphaSize, const std::vector<bool> &types, Index *sa, std::vector<Index> &bucketOffsets);
template<typename AlphaT> void countAlphabets(const AlphaT *str, Index n, int AlphaSize, std::vector<Index> &bucketOffsets, bool b = false);
template<typename AlphaT> void getBucketOffsets(const AlphaT *str, Index n, bool dir, int AlphaSize, std::vector<Index> &bucketOffsets);
void buildInverseSuffixArray();
std::vector<Index> inverseSuffixArray;
void computeLCPArray(const Alpha *str);
std::vector<Index> lcpArray;
typedef DirectRMQ<Index> LCPArrayRMQ;
LCPArrayRMQ lcpArrayRMQ;
void preprocessLCPArrayRMQ() {
lcpArrayRMQ.build(&lcpArray[0], length() + 1);
}
Index computeLCP(Index i, Index j) const;
};
void SuffixArray::build(const Alpha *str, Index n, int AlphaSize) {
suffixArray.resize(n + 1);
if(n == 0) suffixArray[0] = 0;
else {
//I = sizeof(Index) * CHAR_BITS として
//suffixArray + bucketOffsets + types + 関数ローカル変数
//= n*I + max(AlphaSize, n/2)*I + 2*n + O(log n) bits
//I = 4 * 32でAlphaSizeが十分小さいとすると:
//(6+1/16) * n + O(log n) bytes
std::vector<Index> bucketOffsets(std::max(AlphaSize, (n + 1) / 2) + 1);
sa_is<Alpha>(str, n, AlphaSize, &suffixArray[0], bucketOffsets);
}
}
void SuffixArray::build(const Alpha *str, Index n) {
Alpha maxElem = *std::max_element(str, str + n);
assert(maxElem + 0 < std::numeric_limits<int>::max());
build(str, n, (int)(maxElem + 1));
}
void SuffixArray::buildAll(const Alpha *str, Index n) {
build(str, n);
buildInverseSuffixArray();
computeLCPArray(str);
preprocessLCPArrayRMQ();
}
//strは[0,n)が有効で番兵は含まれない。saは[0,n]が有効
template<typename AlphaT>
void SuffixArray::sa_is(const AlphaT *str, Index n, int AlphaSize, Index *sa, std::vector<Index> &bucketOffsets) {
std::vector<bool> types(n + 1);
types[n - 1] = 0; types[n] = 1;
for(Index i = n - 2; i >= 0; i --)
types[i] = str[i] < str[i + 1] || (str[i] == str[i + 1] && types[i + 1]);
countAlphabets(str, n, AlphaSize, bucketOffsets);
getBucketOffsets(str, n, true, AlphaSize, bucketOffsets);
std::fill(sa, sa + n + 1, -1);
for(Index i = 1; i < n; i ++)
if(types[i] && !types[i - 1]) sa[-- bucketOffsets[(int)str[i]]] = i;
sa[0] = n;
inducedSort(str, n, AlphaSize, types, sa, bucketOffsets);
Index n1 = 0;
for(Index i = 0; i <= n; i ++) {
Index j = sa[i];
if(j > 0 && types[j] && !types[j - 1]) sa[n1 ++] = j;
}
//LMS substringsを番号付けする。sa[0..n1-1]にソートされている。
//メモリのためにsaの右半分をバッファに利用する。
//さらにそこでposの順序で整数ソートすることを同時に行う。
//ここでLMS substringが連続して現れないことやLMS substringの数がn/2以下であることを利用してなんとか1つの配列でやる
Index *buffer = sa + n1;
std::fill(buffer, sa + n + 1, -1);
Index uniqueLMSCount = 0, prevPos = -1;
assert(sa[0] == n);
buffer[sa[0] / 2] = uniqueLMSCount ++; //'$'
for(Index i = 1; i < n1; i ++) {
Index pos = sa[i]; bool diff = false;
if(prevPos == -1) diff = true;
else for(Index j = pos, k = prevPos; ; j ++, k ++) {
if(str[j] != str[k] || types[j] != types[k]) {
diff = true;
break;
} else if(j != pos && ((types[j] && !types[j - 1]) || (types[k] && !types[k - 1])))
break;
}
if(diff) {
uniqueLMSCount ++;
prevPos = pos;
}
buffer[pos / 2] = uniqueLMSCount - 1;
}
for(Index i = n, j = n; i >= n1; i --)
if(sa[i] >= 0) sa[j --] = sa[i];
Index *sa1 = sa, *s1 = sa + n + 1 - n1;
if(uniqueLMSCount == n1)
for(Index i = 0; i < n1; i ++) sa1[s1[i]] = i;
else
sa_is<Index>(s1, n1 - 1, uniqueLMSCount, sa1, bucketOffsets);
countAlphabets(str, n, AlphaSize, bucketOffsets);
getBucketOffsets(str, n, true, AlphaSize, bucketOffsets);
for(Index i = 1, j = 0; i <= n; i ++)
if(types[i] && !types[i - 1]) s1[j ++] = i;
for(Index i = 0; i < n1; i ++) sa1[i] = s1[sa1[i]];
std::fill(sa + n1, sa + n + 1, -1);
for(Index i = n1 - 1; i >= 1; i --) {
Index j = sa[i]; sa[i] = -1;
sa[-- bucketOffsets[(int)str[j]]] = j;
}
inducedSort(str, n, AlphaSize, types, sa, bucketOffsets);
}
template<typename AlphaT>
void SuffixArray::inducedSort(const AlphaT *str, Index n, int AlphaSize, const std::vector<bool> &types, Index *sa, std::vector<Index> &bucketOffsets) {
getBucketOffsets(str, n, false, AlphaSize, bucketOffsets);
for(Index i = 0; i < n; i ++) {
Index j = sa[i] - 1;
if(j >= 0 && !types[j]) sa[bucketOffsets[(int)str[j]] ++] = j;
}
getBucketOffsets(str, n, true, AlphaSize, bucketOffsets);
for(Index i = n; i >= 1; i --) {
Index j = sa[i] - 1;
if(j >= 0 && types[j]) sa[-- bucketOffsets[(int)str[j]]] = j;
}
}
template<typename AlphaT>
void SuffixArray::countAlphabets(const AlphaT *str, Index n, int AlphaSize, std::vector<Index> &bucketOffsets, bool b) {
if(b || (int)bucketOffsets.size() / 2 >= AlphaSize) {
std::vector<Index>::iterator alphabetCounts =
b ? bucketOffsets.begin() : bucketOffsets.begin() + AlphaSize;
std::fill(alphabetCounts, alphabetCounts + AlphaSize, 0);
for(Index i = 0; i < n; i ++)
alphabetCounts[(int)str[i]] ++;
}
}
template<typename AlphaT>
void SuffixArray::getBucketOffsets(const AlphaT *str, Index n, bool dir, int AlphaSize, std::vector<Index> &bucketOffsets) {
//AlphaSizeが大きい場合にはbucketOffset求めるたびにalphabetを数えてメモリ量を少なくし、
//AlphaSizeが小さい場合にはbucketOffsetをalphabetCountsと別の場所に置くことにする。
std::vector<Index>::iterator alphabetCounts;
if((int)bucketOffsets.size() / 2 < AlphaSize) {
countAlphabets(str, n, AlphaSize, bucketOffsets, true);
alphabetCounts = bucketOffsets.begin();
} else alphabetCounts = bucketOffsets.begin() + AlphaSize;
Index cumsum = 1; //'$'の分
if(dir) {
for(int i = 0; i < AlphaSize; i ++) {
cumsum += alphabetCounts[i];
bucketOffsets[i] = cumsum;
}
} else {
for(int i = 0; i < AlphaSize; i ++) {
Index x = alphabetCounts[i];
bucketOffsets[i] = cumsum;
cumsum += x;
}
}
}
void SuffixArray::buildInverseSuffixArray() {
Index n = length();
inverseSuffixArray.resize(n + 1);
for(Index i = 0; i <= n; i ++)
inverseSuffixArray[suffixArray[i]] = i;
}
void SuffixArray::computeLCPArray(const Alpha *str) {
int n = length();
lcpArray.resize(n + 2);
Index h = 0;
for(Index i = 0; i < n; i ++) {
Index pos = inverseSuffixArray[i];
Index j = suffixArray[pos - 1];
Index hbound = std::min(n - j, n - i);
for(Index k = 0; h < hbound && str[i + h] == str[j + h]; ++ h);
lcpArray[pos - 1] = h;
if(h > 0) -- h;
}
lcpArray[n] = lcpArray[n + 1] = 0;
}
SuffixArray::Index SuffixArray::computeLCP(Index i, Index j) const {
Index n = length();
if(i == j) return n - i;
Index x = inverseSuffixArray[i], y = inverseSuffixArray[j];
if(x > y) std::swap(x, y);
return lcpArrayRMQ.queryVal(&lcpArray[0], x, y - 1);
}
// https://atcoder.jp/contests/arc050/submissions/682813
void solve() {
INT(n);
STR(s);
SuffixArray sa;
sa.buildAll(s.c_str(), n);
int ans = 0;
rep(i, 1, n) {
int t = sa.computeLCP(0, i);
if (t >= i || s[t] < s[i + t]) ans++;
}
print(ans);
}
signed main() {
int T = 1;
read(T);
while (T--) {
solve();
}
return 0;
}