提交记录 123904


用户 题目 状态 得分 用时 内存 语言 代码长度
saffah_cc_v41_agg1 1013. 测测你的七维数点 Accepted 100 4.306 s 655184 KB C++17 59.06 KB
提交时间 评测时间
2026-10-03 16:04:22 2026-10-03 16:04:30
/* ===== a13as_ seat: [SG-NIB] 4-bit packed group array (single variable) =====
 * The K_frord pass (query re-ordering, run once per dim, 7e6 random accesses per solve) accepts each
 * point's group id with a RANDOM 4 MB gather   g = s_g[od_d[r] & 0xFFFFF]   -- and that gather, not the
 * re-ordering itself, is what the pass costs: an interleaved round-robin min-of-3 A/B against the
 * #123698 body gives K_frord 81.6e6 -> 40.4e6 local ticks (-50.5%), with the rest of the pass (the two
 * group-sequential output streams and the loop) unchanged.
 *
 * The group id is one of k <= 10 values (0..k-1), so the array is packed 8 entries per 32-bit word
 * (s_gn, MAXN/8 words = 500 KB instead of 4 MB) and every reader extracts a nibble:
 *     #define SG(x) ((s_gn[(x) >> 3] >> (((x) & 7) << 2)) & 0xF)
 * A local microbenchmark of exactly this shape (1e6 gathers with a sequential destination, array
 * accessed uniformly) prices the driver: 4 MB footprint 7.0-8.5 ticks/access, 512 KB footprint
 * 2.2 ticks/access, allocation size irrelevant (a 4 MB allocation with the index confined to 512 KB
 * is as fast as a true 512 KB array).  So the win is the touched footprint, not the loop.
 *
 * Readers changed (all four uses of s_g in the body): the K_frord gather + its prefetch, the two
 * HI_qord counting-sort passes and the J_gstart run detection; the writer (the y2 phase) keeps its
 * per-point loop and additionally sets the nibble in place (sequential read-modify-write, 8 entries
 * per word).  No value changes anywhere, so the transformation is bit-exact: 39-cell k=7 gate
 * (brute-force oracle n<=9000 mode 0-4 x 3 seeds, n=1e5 mode 10-14, n=1e6 Q=0/1512/2700 checksums,
 * n=1234567) 0 DIFF, checksums 7842486998 / 7782794688 unchanged.
 *
 * Judge-side pricing note: the s_sig fill (measured on the judge at 41.47 ms, #123669) costs 85-90e6
 * local ticks, i.e. the setup's local->judge rate is ~1.15 for these footprint-bound phases, and the
 * whole setup is 250 ms on the judge.  K_frord is the same kind of phase (random gather + sequential
 * streams) so its ~45 ms local reading is expected to be worth ~35-40 ms on the judge, of which this
 * change removes half.
 * =============================================================================== */
/* ===== REFERENCES =====
 * saffah_codex_6a_agg3, https://duck.ac/submission/121929 : the current T (4315.755175 ms).  The engine body is a
 *   byte-identical copy of that submission, inherited through saffah_cc_v41_agg1 #121984 (b13y3_ seat), #122107
 *   (b13y4_), #122246 (b13y5_), #122587 (a13ah_) and #122653 (a13ai_); only the reference/思路 header text
 *   differs between copies.  All inherited citations retained; no separate license displayed.
 * saffah_cc_v41_agg1 #123698 (a13aq_ seat), https://duck.ac/submission/123698 : the [PKSLOT] packed
 *   counting-sort slot word {start:20, arrival:12} (s_ct) this file carries unchanged; it is the current
 *   best of this account (4292.371024 ms) and the baseline this change is measured against.
 * work/a13ar__tmp/a13ar_mkclk.py and a13ar_gate.sh (a13ar_ seat) : the rdtsc sub-phase clock / LOCAL_TEST
 *   3-rep harness and the 39-cell k=7 equivalence gate, reused as a13as_mkclk.py (one added HO_build span)
 *   and a13as_gate.sh.  work/a13ar__tmp/a13ar_cmp.sh : round-robin min-of-N comparator, reused as a13as_ab.sh.
 * ===== 思路 =====
 * [a13as_ seat] [SG-NIB]: pack the group-id array s_g (values 0..k-1) 8-per-word and read it as nibbles.
 *   Single variable; the only cost attacked is the touched footprint of the one random gather in K_frord.
 */
/* ===== a13aq_ seat: [PKSLOT] packed counting-sort slot (single variable) =====
 * The counting sort's placement pass and its gt/bucket pass index the SAME value slot v but
 * touched two different 4 MB arrays (s_tmp for the running destination slot, s_cntv for the
 * prefix-sum start), i.e. THREE random 4 MB accesses per (point, dim): s_tmp RMW, s_cntv load,
 * od scatter.  Here the two per-value words are packed into one 32-bit word
 *     s_ct[v] = { lo 20 bits: start[v] , hi 12 bits: arrival index within the class }
 * so the placement pass reads s_ct[v] ONCE and derives everything the old pair of passes
 * derived:  q = start + arrival  (identical to s_tmp[v]++ in the same i order),
 *           gt = start            (identical to s_cntv[v]),
 *           num = s_ct[v+1] - 1   (identical to s_cntv[v+1] - 1; the neighbour slot's low
 *                                  field is never modified, and it usually shares the 64 B line),
 * and bumps the arrival field in place.  Every array (pp, gt, s_bdT, od, and the bucket bits)
 * receives exactly the same values in exactly the same order, so the transformation is
 * bit-exact -- 39-cell gate incl. the k=7 brute-force oracle, 0 diffs, n=1e6 checksums
 * 7842486998 / 7782794688 unchanged.
 * A 12-bit arrival field can only overflow for data whose value classes exceed 4096 points;
 * that case is detected in the prefix-sum pass and the original three passes run instead, so
 * correctness never depends on the packing.
 * Priced on the judge: the whole setup block is 800.9e6 -> 723.0e6 local ticks (-9.7%), of
 * which the fused pass replaces 214.5e6 by 150.8e6 (-29.7%); the judge-side setup split
 * measured this round (#123669) put the old three-pass tail at 71.7 ms and the s_sig fill at
 * 41.5 ms of a ~220 ms setup, so the tail is the largest single block of the remaining deficit.
 * =============================================================================== */
/* ===== REFERENCES =====
 * saffah_codex_6a_agg3, https://duck.ac/submission/121929 : the current T (4315.755175 ms).  This file's engine body is
 *   a byte-identical copy of that submission, inherited through saffah_cc_v41_agg1 #121984 (b13y3_ seat), #122107
 *   (b13y4_), #122246 (b13y5_) and #122587 (a13ah_); only the reference/思路 header text differs between those copies.
 * All inherited citations retained; no separate license displayed.
 * ===== 思路 =====
 * [a13ai_ seat] [TIEBATCH2]: the fringe byte-signature scan's ambiguous ("tie") positions are no longer resolved
 *   inline.  Inline, each tie costs `odd[pos]` -> `s_pm[j]` : a two-level dependent load chain ending in a random
 *   64B row of the 64 MB point-record array, which the OoO window cannot overlap with anything.  Here the scan just
 *   APPENDS (i, pos, d, qT[8]) = 48B to a file-scope buffer (4 stores, no memory side effect, no chain), and a
 *   second pass after each ds group resolves the whole batch by software pipelining: phase A computes every
 *   j = s_ord[d][pos] and issues prefetch(s_pm + j*STRIDE) 256 entries ahead, phase B loads the rows and applies the
 *   identical `testc(cmpgt(qT,pv))` predicate.  The integer `ok` values added to `out[i]` are unchanged, only their
 *   schedule is (integer addition is commutative, so the result is bit-identical: 43-cell gate, 0 diffs).
 *   Priced on the judge with a same-binary runtime toggle (g_nooff, no cross-binary layout noise), interleaved,
 *   n=3e5/Q=810: inline arm 503.997/503.907 ms, deferred arm 498.676/498.669 ms  =>  -5.28 ms (-1.05%), in-arm
 *   spread <=0.09 ms.  This is a work-removal change, not a prefetch/reorder change, so it prices on the probe;
 *   at the board geometry the record array is 64 MB (vs 19 MB here) so the removed DRAM latency per entry is larger.
 *   Buffer is capped (TIE_CAP 524288 entries); on overflow the original inline path runs, so correctness never
 *   depends on the buffer.  k!=7 keeps the inline path (judge only calls count_7d).
 * Gate: k=4..8 brute-force oracle, 5 modes x 3 seeds, plus n=1e6 checksums at Q=1512/1620/2700 - 43 cells, 0 diffs
 *   vs the shipped #121984 body.
 */



#define MF_NOSDMP 1

#pragma GCC optimize("O3,unroll-loops,no-strict-aliasing,schedule-insns")
#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt,tune=skylake")
#define MF_QCOEF 140
#define MF_NOFILTB 1

#define MF_SPL ((size_t)1000064)

#include <immintrin.h>
#include <type_traits>
#ifdef LOCAL_TEST
#include <cstdio>
#include <cstdlib>
#include <ctime>
#else
#ifdef __cplusplus
extern "C" void *malloc(unsigned long);
#else
void *malloc(unsigned long);
#endif
#endif

typedef unsigned u32;
typedef unsigned char u8;
typedef unsigned short u16;
typedef unsigned long long u64;

#define LDU256(p) ({ __m256i _v256; __asm__("vmovdqu %1, %0" : "=x"(_v256) : "m"(*(const __m256i *)(p))); _v256; })

#ifndef MAXN
#define MAXN 1000005
#endif
#define MAXK 8
#define STRIDE 16

#ifndef MF_APF
#define MF_APF 0
#endif
#ifndef MF_QCOEF
#define MF_QCOEF 122
#endif

#ifndef MF_KSPAD
#define MF_KSPAD 1
#endif

#ifndef MF_FILTAUTO
#define MF_FILTAUTO 1
#endif

#ifndef MF_NT
#define MF_NT 1
#endif
#ifndef MF_FR_NOSORT
#define MF_FR_NOSORT 0
#endif
#ifndef MF_FR_NOCAND
#define MF_FR_NOCAND 0
#endif
#ifndef MF_BUILD_NOPOOL
#define MF_BUILD_NOPOOL 0
#endif
#ifndef MF_FR_NOREAD
#define MF_FR_NOREAD 0
#endif
#ifndef MF_NOSDMP
#define MF_NOSDMP 0
#endif

#ifndef MF_FB2
#define MF_FB2 0
#endif
#ifndef MF_FB3
#define MF_FB3 1
#endif

#ifndef MF_PLEN
#define MF_PLEN 1
#endif
#ifndef MF_BUDGETMB
#define MF_BUDGETMB 1800
#endif
#ifndef MF_NOFILTB
#define MF_NOFILTB 0
#endif

#ifndef MF_PFB
#define MF_PFB 6

#define MF_PFSC 32

#define MF_PFSC2 32
#endif

#ifndef MF_ASCR
#define MF_ASCR 1
#endif

#ifndef MF_WTRIM
#define MF_WTRIM 0
#endif
#define AS_WORDS 20480
#ifndef MF_PFA
#define MF_PFA 2
#endif
#ifndef MF_FR_NOMETA
#define MF_FR_NOMETA 0
#endif

#ifndef MAXQ
#define MAXQ 4096
#endif

static u32 s_ord[MAXK][MAXN];

static u32 s_frord[MAXK][MAXN];
static u32 s_gt[MAXK][MAXN];
static u32 s_pm[(size_t)MAXN * STRIDE] __attribute__((aligned(64)));

#define E6Z_BDR (((size_t)(MAXN) + 31u) & ~(size_t)31u)
static u16 s_bdT[(size_t)MAXK * E6Z_BDR];
static u16 s_bd[(size_t)MAXN * MAXK];
static u32 s_g[MAXN];
/* [a13as_ SG-NIB] 4-bit packed group array: the ONLY reader of s_g that is a random gather
   is the K_frord pass (7e6 accesses/solve over a 4 MB footprint); 1e6*4 bit = 500 KB keeps
   the whole touched set at 1/8 the footprint.  Values are 0..k-1 <= 14 for k<=15. */
static u32 s_gn[MAXN / 8 + 8];
#define SG(x) ((s_gn[(u32)(x) >> 3] >> (((u32)(x) & 7u) << 2)) & 0xFu)
static u32 s_qord[MAXN], s_tmp[MAXN], s_cntv[MAXN];
static u32 s_ct[MAXN + 8] __attribute__((aligned(64)));
static u16 s_bkt[MAXN];
static u16 s_bks[MAXN];
static u32 s_nid[MAXN];
static u32 s_pos[MAXK][MAXN];
static u32 s_posp[(size_t)MAXK * MAXN];
#ifndef MF_INCA
#define MF_INCA 1
#endif
#ifndef MF_INCA_PFD
#define MF_INCA_PFD 0
#endif
static int g_inca = 0;
static u32 *s_ho = 0;
static size_t s_ho_cap = 0;
static u64 s_facc[(size_t)(MAXK - 1) * (((MAXN) + 63) / 64 + 16)];
static u32 s_bnde[(size_t)MAXK * (MAXQ + 2)];
static u64 *s_fbm = 0;
static u64 s_fbuf[8192] __attribute__((aligned(64)));
static __m256i khi8v, khi8hv;
static u32 g_Qc = 32;
static u32 g_fbm_W = 0;
static int g_use_filt = 0;
static int g_lexsort = 0;
static int g_nofilt = 0;
static u32 s_fpos[(MAXK + 1) * MAXQ];
static u32 s_bval[(MAXK + 1) * MAXQ];
static u64 *s_bs = 0;
static u64 s_acc[MAXN / 64 + 256] __attribute__((aligned(64)));
static u32 *s_sdmp[MAXK];
static u64 s_ascr[AS_WORDS] __attribute__((aligned(64)));
static u32 s_maxr[(size_t)MAXK * MAXK * MAXQ];

static u8 *s_sig = 0;
static int g_sig_on = 0;
static int g_sig_merged = 0;
static u32 g_sigsh = 0;
static u32 solve_generation;
#define TIE_CAP 524288
#define TIE_EW 12
static u32 s_tbuf[(size_t)TIE_CAP * TIE_EW];
static u32 s_tj[TIE_CAP];
static u32 s_tn = 0;
static int g_nooff = 0;
static u32 s_pofs[(size_t)MAXK * MAXQ];
static u32 s_plen[(size_t)MAXK * MAXQ];
static int g_plen_on = 0;

static u32 g_W, g_Q, g_B;
static u32 g_KS;
static int g_nosort = 0;
static int g_nosdmp = 0;
static int g_skip_and = 0, g_skip_fringe = 0;

#define FPOS(d, b) s_fpos[(size_t)(d) * MAXQ + (b)]
#define BVAL(d, b) s_bval[(size_t)(d) * MAXQ + (b)]

static void *pool_alloc(size_t bytes) {
  void *raw = malloc(bytes + (2u << 20));
  if (!raw) return 0;
  return (void *)(((size_t)raw + (2u << 20) - 1) & ~(size_t)((2u << 20) - 1));
}

__attribute__((target("avx2,popcnt")))
static inline u32 hsum256(__m256i v) {

  __m128i lo = _mm256_castsi256_si128(v);
  __m128i hi = _mm256_extracti128_si256(v, 1);
  __m128i s = _mm_add_epi64(lo, hi);
  return (u32)((u64)_mm_cvtsi128_si64(s) + (u64)_mm_extract_epi64(s, 1));
}
template<int KK>
__attribute__((target("avx2,popcnt")))
static u32 and_popcount_range(const u64 *const *bs, u32 Wr, u32 rem, const u64 *const *bsNext) {
  const __m256i lm = _mm256_set1_epi8(0x0f);
  const __m256i lk = _mm256_setr_epi8(0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
                                      0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4);
  const __m256i z = _mm256_setzero_si256();

  __m256i tot = z, acc0 = z, acc1 = z;
  u32 w = 0, cnt = 0, total = 0;

  u32 wlim = (Wr > 96u) ? (Wr - 96u) : 0u;
  for (; w + 8 <= wlim; w += 8) {
    if (KK > 1) _mm_prefetch((const char *)(bs[1] + w + 96), _MM_HINT_T0);
    if (KK > 2) _mm_prefetch((const char *)(bs[2] + w + 96), _MM_HINT_T0);
    if (KK > 3) _mm_prefetch((const char *)(bs[3] + w + 96), _MM_HINT_T0);
    if (KK > 4) _mm_prefetch((const char *)(bs[4] + w + 96), _MM_HINT_T0);
    if (KK > 5) _mm_prefetch((const char *)(bs[5] + w + 96), _MM_HINT_T0);
    if (KK > 6) _mm_prefetch((const char *)(bs[6] + w + 96), _MM_HINT_T0);
    if (KK > 7) _mm_prefetch((const char *)(bs[7] + w + 96), _MM_HINT_T0);
    __m256i a = LDU256((bs[0] + w));
    for (int d = 1; d < KK; d++) a = _mm256_and_si256(a, LDU256((bs[d] + w)));
    __m256i lo0 = _mm256_and_si256(a, lm);
    __m256i hi0 = _mm256_and_si256(_mm256_srli_epi16(a, 4), lm);
    acc0 = _mm256_add_epi8(acc0, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo0), _mm256_shuffle_epi8(lk, hi0)));
    __m256i b = LDU256((bs[0] + w + 4));
    for (int d = 1; d < KK; d++) b = _mm256_and_si256(b, LDU256((bs[d] + w + 4)));
    __m256i lo1 = _mm256_and_si256(b, lm);
    __m256i hi1 = _mm256_and_si256(_mm256_srli_epi16(b, 4), lm);
    acc1 = _mm256_add_epi8(acc1, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo1), _mm256_shuffle_epi8(lk, hi1)));
    if (++cnt == 31) {
      tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc0, z));
      tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc1, z));
      acc0 = acc1 = z; cnt = 0;
    }
  }
  if (bsNext) {
    u32 off = 0;
    for (; w + 8 <= Wr; w += 8, off += 8) {
      if (KK > 1) _mm_prefetch((const char *)(bsNext[1] + off), _MM_HINT_T0);
      if (KK > 2) _mm_prefetch((const char *)(bsNext[2] + off), _MM_HINT_T0);
      if (KK > 3) _mm_prefetch((const char *)(bsNext[3] + off), _MM_HINT_T0);
      if (KK > 4) _mm_prefetch((const char *)(bsNext[4] + off), _MM_HINT_T0);
      if (KK > 5) _mm_prefetch((const char *)(bsNext[5] + off), _MM_HINT_T0);
      if (KK > 6) _mm_prefetch((const char *)(bsNext[6] + off), _MM_HINT_T0);
      if (KK > 7) _mm_prefetch((const char *)(bsNext[7] + off), _MM_HINT_T0);
    __m256i a = LDU256((bs[0] + w));
    for (int d = 1; d < KK; d++) a = _mm256_and_si256(a, LDU256((bs[d] + w)));
    __m256i lo0 = _mm256_and_si256(a, lm);
    __m256i hi0 = _mm256_and_si256(_mm256_srli_epi16(a, 4), lm);
    acc0 = _mm256_add_epi8(acc0, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo0), _mm256_shuffle_epi8(lk, hi0)));
    __m256i b = LDU256((bs[0] + w + 4));
    for (int d = 1; d < KK; d++) b = _mm256_and_si256(b, LDU256((bs[d] + w + 4)));
    __m256i lo1 = _mm256_and_si256(b, lm);
    __m256i hi1 = _mm256_and_si256(_mm256_srli_epi16(b, 4), lm);
    acc1 = _mm256_add_epi8(acc1, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo1), _mm256_shuffle_epi8(lk, hi1)));
    if (++cnt == 31) {
      tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc0, z));
      tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc1, z));
      acc0 = acc1 = z; cnt = 0;
    }
    }
  }
  for (; w + 8 <= Wr; w += 8) {
    __m256i a = LDU256((bs[0] + w));
    for (int d = 1; d < KK; d++) a = _mm256_and_si256(a, LDU256((bs[d] + w)));
    __m256i lo0 = _mm256_and_si256(a, lm);
    __m256i hi0 = _mm256_and_si256(_mm256_srli_epi16(a, 4), lm);
    acc0 = _mm256_add_epi8(acc0, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo0), _mm256_shuffle_epi8(lk, hi0)));
    __m256i b = LDU256((bs[0] + w + 4));
    for (int d = 1; d < KK; d++) b = _mm256_and_si256(b, LDU256((bs[d] + w + 4)));
    __m256i lo1 = _mm256_and_si256(b, lm);
    __m256i hi1 = _mm256_and_si256(_mm256_srli_epi16(b, 4), lm);
    acc1 = _mm256_add_epi8(acc1, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo1), _mm256_shuffle_epi8(lk, hi1)));
    if (++cnt == 31) {
      tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc0, z));
      tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc1, z));
      acc0 = acc1 = z; cnt = 0;
    }
  }
  for (; w + 4 <= Wr; w += 4) {
    __m256i a = LDU256((bs[0] + w));
    for (int d = 1; d < KK; d++) a = _mm256_and_si256(a, LDU256((bs[d] + w)));
    __m256i lo2 = _mm256_and_si256(a, lm);
    __m256i hi2 = _mm256_and_si256(_mm256_srli_epi16(a, 4), lm);
    acc0 = _mm256_add_epi8(acc0, _mm256_add_epi8(_mm256_shuffle_epi8(lk, lo2), _mm256_shuffle_epi8(lk, hi2)));
  }
  tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc0, z));
  tot = _mm256_add_epi64(tot, _mm256_sad_epu8(acc1, z));
  total = hsum256(tot);
  for (; w < Wr; w++) {
    u64 v = bs[0][w];
    for (int d = 1; d < KK; d++) v &= bs[d][w];
    total += (u32)__builtin_popcountll(v);
  }
  if (rem) {
    u64 v = bs[0][Wr];
    for (int d = 1; d < KK; d++) v &= bs[d][Wr];
    total += (u32)__builtin_popcountll(v & ((1ull << rem) - 1));
  }
  return total;
}

template<int KK>
__attribute__((target("avx2,popcnt")))
static void query_group(u32 N, u32 *out, u32 ds, u32 q0, u32 q1, u32 Q, u32 W) {
  const int k = KK;
  const int K1 = KK - 1;

  const u32 ASTRL = STRIDE;
#if MF_ASCR

    const u32 d1 = (ds == 0) ? 1u : 0u;
    const u32 e1 = (d1 < ds) ? d1 : d1 - 1;
    {
      const u32* fo=s_frord[d1];
      for(u32 qi=q0;qi<q1;qi++)s_qord[qi]=fo[qi]&0xFFFFFu;
    }
#else
    const u32 d1 = 0, e1 = 0;
#endif

    if (g_lexsort) {
      u32 *cntv = s_cntv;
      for (int dd = k - 1; dd >= 0; dd--) {
        if (dd == ds) continue;
        for (u32 v = 0; v <= Q; v++) cntv[v] = 0;
        for (u32 qi = q0; qi < q1; qi++) cntv[s_bdT[(size_t)dd * E6Z_BDR + s_qord[qi]] + 1]++;
        { u32 ac = q0; for (u32 v = 0; v <= Q; v++) { u32 c = cntv[v]; cntv[v] = ac; ac += c; } }
        for (u32 qi = q0; qi < q1; qi++) { u32 id = s_qord[qi]; s_tmp[cntv[s_bdT[(size_t)dd * E6Z_BDR + id] + 1]++] = id; }
        for (u32 qi = q0; qi < q1; qi++) s_qord[qi] = s_tmp[qi];
      }
    }
#ifdef PF_DIST
    for (u32 qi = q0; qi < q0 + PF_DIST && qi + PF_DIST < q1; qi++) {
      u32 j = s_qord[qi + PF_DIST];
      const u16 *bdn = s_bd + (size_t)j * MAXK;
      for (int e = 0; e < K1; e++) {
        int d = (e < ds) ? e : e + 1;
        const char *pp = (const char *)(s_bs + ((size_t)e * (Q + 1) + bdn[d]) * W);
        _mm_prefetch(pp, _MM_HINT_T0);
        _mm_prefetch(pp + 64, _MM_HINT_T0);
        _mm_prefetch(pp + 128, _MM_HINT_T0);
      }
    }
#endif
#if MF_ASCR
    {
#if MF_INCA

      const u32 *a13_ho = 0;
      u32 a13_app = 0;
      if (g_inca) {
        a13_ho = s_ho;
        for (u32 w = 0; w < AS_WORDS; w++) s_ascr[w] = 0;
      }
#endif
      u32 qi = q0;
      while (qi < q1) {
        const u32 *fo=s_frord[d1];
        u32 b1=fo[qi]>>20;
        u32 qe=qi+1;
        while(qe<q1 && (fo[qe]>>20)==b1)qe++;
        const u64 *bp1 = g_plen_on ? (s_bs + s_pofs[(size_t)e1 * MAXQ + b1])
                                   : (s_bs + ((size_t)e1 * (Q + 1) + b1) * W);
#if MF_INCA
        if (a13_ho) {
          u32 pto = (b1 < Q) ? FPOS(d1, b1) : (u32)N;
          const u32 *hp = a13_ho;
#if MF_INCA_PFD > 0
          while (a13_app < pto) {
            if (a13_app + MF_INCA_PFD < pto)
              _mm_prefetch((const char *)(s_ascr + (hp[a13_app + MF_INCA_PFD] >> 6)), _MM_HINT_T0);
            u32 q = hp[a13_app]; s_ascr[q >> 6] |= 1ull << (q & 63); a13_app++; }
#else
          while (a13_app < pto) { u32 q = hp[a13_app]; s_ascr[q >> 6] |= 1ull << (q & 63); a13_app++; }
#endif
          bp1 = s_ascr;
        } else
#endif
        {
        u32 mx = 1;
        for (u32 t = qi; t < qe; t++) { u32 rr = s_gt[ds][s_qord[t]]; if (rr > mx) mx = rr; }
        u32 nwd = (mx >> 6) + 1;
        if (nwd <= AS_WORDS) {
          const u64 *src = bp1;
          for (u32 w = 0; w < nwd; w++) s_ascr[w] = src[w];
          bp1 = s_ascr;
        }
        }

        const u64 *bp2v[2][MAXK];
        u32 Rcur = s_gt[ds][s_qord[qi]];
        {
          const u16 *bd0 = s_bd + (size_t)s_qord[qi] * MAXK;
          for (int e = 0; e < K1; e++) {
            if (e == (int)e1) bp2v[qi & 1u][e] = bp1;
            else { int d = (e < ds) ? e : e + 1;
                   bp2v[qi & 1u][e] = g_plen_on ? (s_bs + s_pofs[(size_t)e * MAXQ + bd0[d]])
                                          : (s_bs + ((size_t)e * (Q + 1) + bd0[d]) * W); }
          }
        }
        for (u32 qq = qi; qq < qe; qq++) {
          u32 i = s_qord[qq];
#if MF_PFA > 0
          {
            u32 qj = qq + MF_PFA;
            if (qj < qe) {
              u32 j = s_qord[qj];
              _mm_prefetch((const char *)(s_bd + (size_t)j * MAXK), _MM_HINT_T0);
              _mm_prefetch((const char *)(s_gt[ds] + j), _MM_HINT_T0);

              __asm__ __volatile__("prefetchw %0" :: "m"(*(const char *)(out + j)));
            }
          }
#endif
          if (qq + 1 < qe) {
            const u16 *bdn = s_bd + (size_t)s_qord[qq + 1] * MAXK;
            const u64 **bn = bp2v[(qq + 1) & 1u];
            for (int e = 0; e < K1; e++) {
              if (e == (int)e1) bn[e] = bp1;
              else { int d = (e < ds) ? e : e + 1;
                     bn[e] = g_plen_on ? (s_bs + s_pofs[(size_t)e * MAXQ + bdn[d]])
                                       : (s_bs + ((size_t)e * (Q + 1) + bdn[d]) * W); }
            }
          }

          const u32 R = Rcur;
          if (qq + 1 < qe) Rcur = s_gt[ds][s_qord[qq + 1]];
          u32 cnt = 0;
          if (R && !g_skip_and) {
            cnt = and_popcount_range<KK - 1>(bp2v[qq & 1u], R >> 6, R & 63u,
                                        (qq + 1 < qe) ? bp2v[(qq + 1) & 1u] : 0);
          }
          out[i] = cnt;
        }
        qi = qe;
      }
    }
#else
    for (u32 qi = q0; qi < q1; qi++) {
      u32 i = s_qord[qi];
      const u16 *bd = s_bd + (size_t)i * MAXK;
#if MF_PFA > 0
      {
        u32 qj = qi + MF_PFA;
        if (qj < q1) {
          u32 j = s_qord[qj];
          _mm_prefetch((const char *)(s_bd + (size_t)j * MAXK), _MM_HINT_T0);
          _mm_prefetch((const char *)(s_gt[ds] + j), _MM_HINT_T0);

          _mm_prefetch((const char *)(out + j), _MM_HINT_T0);
        }
      }
#endif
#ifdef PF_DIST
      if (qi + PF_DIST < q1) {
        u32 j = s_qord[qi + PF_DIST];
        const u16 *bdn = s_bd + (size_t)j * MAXK;
        for (int e = 0; e < K1; e++) {
          int d = (e < ds) ? e : e + 1;
          const char *pp = (const char *)(s_bs + ((size_t)e * (Q + 1) + bdn[d]) * W);
          _mm_prefetch(pp, _MM_HINT_T0);
          _mm_prefetch(pp + 64, _MM_HINT_T0);
          _mm_prefetch(pp + 128, _MM_HINT_T0);
        }
      }
#endif
      const u32 R = s_gt[ds][i];
      u32 cnt = 0;
      if (R && !g_skip_and) {
          const u64 *bp[MAXK];
        for (int e = 0; e < K1; e++) {
          int d = (e < ds) ? e : e + 1;
          bp[e] = g_plen_on ? (s_bs + s_pofs[(size_t)e * MAXQ + bd[d]])
                            : (s_bs + ((size_t)e * (Q + 1) + bd[d]) * W);
#ifdef DBG_PLEN
          if (g_plen_on) {
            u32 need = (R >> 6) + ((R & 63) ? 1 : 0);
            if (need > s_plen[(size_t)e * MAXQ + bd[d]])
              printf("DBG ds=%d e=%d d=%d b=%u R=%u need=%u len=%u\n", ds, e, d, bd[d], R, need, s_plen[(size_t)e * MAXQ + bd[d]]);
          }
#endif
        }
        cnt = and_popcount_range<KK - 1>(bp, R >> 6, R & 63u, 0);
      }
      out[i] = cnt;
    }
#endif
    if (g_skip_fringe) return;
    const u32 *const avpool=s_pm+8;

    auto fringe_dim = [&](auto dim) {
      constexpr int d=decltype(dim)::value;
      if(d==ds) return;

      const u32 *fo = s_frord[d];
      u32 exmask = 0;
      for (int e = 0; e < d; e++) if (e != ds) exmask |= 1u << e;

      u32 hiA[8], hiAh[8];
      for (int e = 0; e < 8; e++) hiA[e] = ((exmask >> e) & 1u) ? 0u : 0x7FFFFFFFu;
      for (int e = 8; e < 16; e++) hiAh[e - 8] = ((exmask >> e) & 1u) ? 0u : 0x7FFFFFFFu;
      const __m256i notexlo = LDU256(hiA);
      const __m256i notexloh = LDU256(hiAh);
      const __m256i all8 = _mm256_set1_epi32(-1);

      const u8 *const sbase = s_sig + (size_t)d * k * MF_SPL;
      const u32 *const odd = s_ord[d];
      for (u32 qi = q0; qi < q1; qi++) {
        u32 i = fo[qi] & 0xFFFFFu;
#if MF_PFB > 0
        {
          u32 qj = qi + MF_PFB;
          if (qj < q1) {
            u32 j = fo[qj] & 0xFFFFFu;
            _mm_prefetch((const char *)(s_pm + (size_t)j * STRIDE), _MM_HINT_T0);
            _mm_prefetch((const char *)(s_gt[d] + j), _MM_HINT_T0);

            __asm__ __volatile__("prefetchw %0" :: "m"(*(const char *)(out + j)));
          }
        }
#endif
        const u32 lo = FPOS(d, fo[qi] >> 20);
        const u32 hi = s_gt[d][i];
        if (lo >= hi) continue;
        const u32 *rec = s_pm + (size_t)i * STRIDE;
        const u32 *Avp = avpool + (size_t)i * ASTRL;
        __m256i qr = _mm256_or_si256(_mm256_load_si256((const __m256i *)rec), khi8v);
        __m256i Avm = _mm256_or_si256(LDU256(Avp), notexlo);
        __m256i qT = _mm256_min_epi32(qr, Avm);
        __m256i qTh;
        if (k > 9) {

          __m256i qrh = _mm256_or_si256(LDU256((rec + 8)), khi8hv);
          __m256i Avmh = _mm256_or_si256(LDU256((Avp + 8)), notexloh);
          qTh = _mm256_min_epi32(qrh, Avmh);
        } else if (k > 8) {

          qTh = _mm256_or_si256(LDU256((rec + 8)), khi8hv);
        } else {
          qTh = all8;
        }
        u32 add = 0;
        const u32 *c0 = s_sdmp[d] ? (s_sdmp[d] + (size_t)lo * g_KS) : 0;
        if (g_use_filt && KK == 9) {
          const u32 w0 = lo >> 6;
          const u32 nw = ((hi - 1) >> 6) - w0 + 1;
          const u64 wcs = (u64)N / g_Qc + 1;
          const u32 FW = g_fbm_W;
          const u64 *rows[8];
          int nr = 0;
          for (int e = 0; e < 9; e++) {
            if (e == d) continue;
            u32 cell = (u32)((u64)rec[e] / wcs) + 1;
            if (cell > g_Qc) cell = g_Qc;
            rows[nr++] = s_fbm + ((size_t)(d * 9 + e) * (g_Qc + 1) + cell) * FW + w0;
          }
          const u64 *r0 = rows[0];
          const u64 *r1 = rows[1];
          const u64 *r2 = rows[2];
          const u64 *r3 = rows[3];
          const u64 *r4 = rows[4];
          const u64 *r5 = rows[5];
          const u64 *r6 = rows[6];
          const u64 *r7 = rows[7];
          const u32 remh = hi & 63u;
          {
            u64 vv = r0[0] & r1[0] & r2[0] & r3[0] & r4[0] & r5[0] & r6[0] & r7[0];
            vv &= ~0ull << (lo & 63);
            if (nw == 1u && remh) vv &= (1ull << remh) - 1;
            u32 word = w0;
#if MF_FR_NOCAND
            vv = 0;
#endif
            while (vv) {
              int t = __builtin_ctzll(vv);
              vv &= vv - 1;
              u32 j = (word << 6) + (u32)t;
              const u32 *cp = c0 ? (c0 + (size_t)(j - lo) * g_KS) : (s_pm + (size_t)(s_ord[d][j] & 0xFFFFFu) * STRIDE);
              __m256i pv = LDU256(cp);
              __m256i pvh = LDU256(cp + 8);
              u32 ok = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
              ok &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
              add += ok;
            }
          }
          for (u32 w = 1; w + 1 < nw; w++) {
            u64 vv = r0[w] & r1[w] & r2[w] & r3[w] & r4[w] & r5[w] & r6[w] & r7[w];
            u32 word = w0 + w;
#if MF_FR_NOCAND
            vv = 0;
#endif
            while (vv) {
              int t = __builtin_ctzll(vv);
              vv &= vv - 1;
              u32 j = (word << 6) + (u32)t;
              const u32 *cp = c0 ? (c0 + (size_t)(j - lo) * g_KS) : (s_pm + (size_t)(s_ord[d][j] & 0xFFFFFu) * STRIDE);
              __m256i pv = LDU256(cp);
              __m256i pvh = LDU256(cp + 8);
              u32 ok = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
              ok &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
              add += ok;
            }
          }
          if (nw > 1u) {
            u32 w = nw - 1u;
            u64 vv = r0[w] & r1[w] & r2[w] & r3[w] & r4[w] & r5[w] & r6[w] & r7[w];
            if (remh) vv &= (1ull << remh) - 1;
            u32 word = w0 + w;
#if MF_FR_NOCAND
            vv = 0;
#endif
            while (vv) {
              int t = __builtin_ctzll(vv);
              vv &= vv - 1;
              u32 j = (word << 6) + (u32)t;
              const u32 *cp = c0 ? (c0 + (size_t)(j - lo) * g_KS) : (s_pm + (size_t)(s_ord[d][j] & 0xFFFFFu) * STRIDE);
              __m256i pv = LDU256(cp);
              __m256i pvh = LDU256(cp + 8);
              u32 ok = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
              ok &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
              add += ok;
            }
          }
          out[i] += add;
          continue;
        }
        if (g_use_filt) {
          const u32 w0 = lo >> 6;
          const u32 nw = ((hi - 1) >> 6) - w0 + 1;
          u64 *fb = s_fbuf;
          const u64 wcs = (u64)N / g_Qc + 1;
          const u32 FW = g_fbm_W;
          int first = 1;
#if MF_FR_NOREAD
          first = 0;
          for (u32 w = 0; w < nw; w++) fb[w] = 0;
#endif
          for (int e = 0; e < k; e++) {
            if (e == d) continue;
            u32 c = (u32)((u64)rec[e] / wcs) + 1;
            if (c > g_Qc) c = g_Qc;
            const u64 *row = s_fbm + ((size_t)(d * k + e) * (g_Qc + 1) + c) * FW + w0;
            if (first) { for (u32 w = 0; w < nw; w++) fb[w] = row[w]; first = 0; }
            else { for (u32 w = 0; w < nw; w++) fb[w] &= row[w]; }
          }
          fb[0] &= ~0ull << (lo & 63);
          u32 r2 = hi & 63u;
          if (r2) fb[nw - 1] &= (1ull << r2) - 1;
          for (u32 w = 0; w < nw; w++) {
            u64 vv = fb[w];
#if MF_FR_NOCAND
            vv = 0;
#endif
            while (vv) {
              int t = __builtin_ctzll(vv);
              vv &= vv - 1;
              u32 j = ((w0 + w) << 6) + (u32)t;
              const u32 *cp = c0 ? (c0 + (size_t)(j - lo) * g_KS) : (s_pm + (size_t)(s_ord[d][j] & 0xFFFFFu) * STRIDE);
              __m256i pv = LDU256(cp);
              u32 ok = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
              if (k > 8) {
                __m256i pvh = LDU256((cp + 8));
                ok &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
              }
              add += ok;
            }
          }
          out[i] += add;
          continue;
        }
        if (g_sig_on && (hi - lo) >= 2) {

          __m256i qsb[16];

          {
            const __m256i zero8 = _mm256_setzero_si256();
            const __m256i shv = _mm256_set1_epi32((int)g_sigsh);

            const __m256i bias8 = _mm256_set1_epi8((char)0x80);
            const __m256i sv_lo = _mm256_srlv_epi32(qT, shv);
            const __m128i u16=_mm_packus_epi32(_mm256_castsi256_si128(sv_lo),_mm256_extracti128_si256(sv_lo,1));
            const __m128i u8s=_mm_packus_epi16(u16,u16);
            const __m256i packed=_mm256_xor_si256(_mm256_broadcastsi128_si256(u8s),bias8);
            for (int e = 0; e < k; e++) {
              if (e == (int)d) { qsb[e] = _mm256_set1_epi8((char)0xFF); continue; }
              qsb[e] = _mm256_shuffle_epi8(packed,_mm256_set1_epi8((char)e));
            }
          }

          u32 aj = lo, aacc = 0, aexact = 0;
          for (; aj + 32 <= hi; aj += 32) {
            _mm_prefetch((const char*)(odd+aj+64),_MM_HINT_T0);

            __m256i ac = _mm256_set1_epi8((char)0x80);
            for (int e = 0; e < k; e++) {
              if (e == (int)d) continue;
              __m256i cv = LDU256((sbase + (size_t)e * MF_SPL + aj));
              ac = _mm256_max_epi8(ac, _mm256_subs_epi8(cv, qsb[e]));
            }
            u32 decm = (u32)_mm256_movemask_epi8(ac);
            u32 amb = (u32)_mm256_movemask_epi8(_mm256_cmpeq_epi8(ac, _mm256_setzero_si256()));
            aacc += (u32)__builtin_popcount(decm);
            if (amb) {
              if (k == 7 && !c0 && !g_nooff && s_tn + 32u <= (u32)TIE_CAP) {
                u32 *te = s_tbuf + (size_t)s_tn * TIE_EW;
                do {
                  int t = __builtin_ctz(amb); amb &= amb - 1;
                  te[0] = i; te[1] = aj + (u32)t; te[2] = (u32)d;
                  _mm256_storeu_si256((__m256i *)(te + 3), qT);
                  te += TIE_EW; s_tn++;
                } while (amb);
              } else {
              while (amb) {
                int t = __builtin_ctz(amb); amb &= amb - 1;
                const u32 *cp = c0 ? (c0 + (size_t)(aj + (u32)t - lo) * g_KS) : (s_pm + (size_t)(odd[aj + (u32)t] & 0xFFFFFu) * STRIDE);
                __m256i pv = LDU256(cp);
                u32 okl = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
                if (k > 8) {
                  __m256i pvh = LDU256((cp + 8));
                  okl &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
                }
                aacc += okl;
              }
              }
            }
          }

          {
            u32 r = hi - aj;
            if (r) {
              u32 base, lk;
              if (hi >= 32u) { base = hi - 32u; lk = 32u - r; }
              else           { base = 0u;      lk = lo; }
              u32 kmask = ((r >= 32u) ? 0xFFFFFFFFu : ((1u << r) - 1u)) << lk;

              __m256i ac = _mm256_set1_epi8((char)0x80);
              for (int e = 0; e < k; e++) {
                if (e == (int)d) continue;
                __m256i cv = LDU256((sbase + (size_t)e * MF_SPL + base));
                ac = _mm256_max_epi8(ac, _mm256_subs_epi8(cv, qsb[e]));
              }
              u32 decm = ((u32)_mm256_movemask_epi8(ac)) & kmask;
              u32 amb = ((u32)_mm256_movemask_epi8(_mm256_cmpeq_epi8(ac, _mm256_setzero_si256()))) & kmask;
              aacc += (u32)__builtin_popcount(decm);
              if (amb) {
              if (k == 7 && !c0 && !g_nooff && s_tn + 32u <= (u32)TIE_CAP) {
                u32 *te = s_tbuf + (size_t)s_tn * TIE_EW;
                do {
                  int t = __builtin_ctz(amb); amb &= amb - 1;
                  te[0] = i; te[1] = base + (u32)t; te[2] = (u32)d;
                  _mm256_storeu_si256((__m256i *)(te + 3), qT);
                  te += TIE_EW; s_tn++;
                } while (amb);
              } else {
              while (amb) {
                int t = __builtin_ctz(amb); amb &= amb - 1;
                const u32 *cp = c0 ? (c0 + (size_t)(base + (u32)t - lo) * g_KS) : (s_pm + (size_t)(odd[base + (u32)t] & 0xFFFFFu) * STRIDE);
                __m256i pv = LDU256(cp);
                u32 okl = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
                if (k > 8) {
                  __m256i pvh = LDU256((cp + 8));
                  okl &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
                }
                aacc += okl;
              }
              }
              }
            }
          }
          add = aacc;
        } else if (c0) {
          if (k <= 8) {
            const u32 *c = c0;
            u32 a0 = 0, a1 = 0, a2 = 0, a3 = 0;
            u32 j = lo;
            for (; j + 4 <= hi; j += 4) {
              __m256i p0 = LDU256((c));
              __m256i p1 = LDU256((c + g_KS));
              __m256i p2 = LDU256((c + 2 * g_KS));
              __m256i p3 = LDU256((c + 3 * g_KS));
              a0 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p0), all8);
              a1 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p1), all8);
              a2 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p2), all8);
              a3 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p3), all8);
              c += 4 * g_KS;
            }
            for (; j < hi; j++, c += g_KS) {
              __m256i pv = LDU256(c);
              a0 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
            }
            add = a0 + a1 + a2 + a3;
          } else {

            const u32 *c = c0;
            u32 a0 = 0, a1 = 0, a2 = 0, a3 = 0;
            u32 j = lo;
            for (; j + 4 <= hi; j += 4) {
              __m256i p0 = LDU256((c));
              __m256i p1 = LDU256((c + g_KS));
              __m256i p2 = LDU256((c + 2 * g_KS));
              __m256i p3 = LDU256((c + 3 * g_KS));
              __m256i h0 = LDU256((c + 8));
              __m256i h1 = LDU256((c + g_KS + 8));
              __m256i h2 = LDU256((c + 2 * g_KS + 8));
              __m256i h3 = LDU256((c + 3 * g_KS + 8));
              a0 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p0), all8) & (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, h0), all8);
              a1 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p1), all8) & (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, h1), all8);
              a2 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p2), all8) & (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, h2), all8);
              a3 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, p3), all8) & (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, h3), all8);
              c += 4 * g_KS;
            }
            for (; j < hi; j++, c += g_KS) {
              __m256i pv = LDU256(c);
              __m256i pvh = LDU256((c + 8));
              a0 += (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8) &
                    (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
            }
            add = a0 + a1 + a2 + a3;
          }
        } else {

          for (u32 j = lo; j < hi; j++) {
            const u32 *c = s_pm + (size_t)(odd[j] & 0xFFFFFu) * STRIDE;
            __m256i pv = _mm256_load_si256((const __m256i *)c);
            u32 ok = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qT, pv), all8);
            if (k > 8) {
              __m256i pvh = _mm256_load_si256((const __m256i *)(c + 8));
              ok &= (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qTh, pvh), all8);
            }
            add += ok;
          }
        }
        out[i] += add;
      }
    };
    if constexpr(KK>0) fringe_dim(std::integral_constant<int,0>{});
    if constexpr(KK>1) fringe_dim(std::integral_constant<int,1>{});
    if constexpr(KK>2) fringe_dim(std::integral_constant<int,2>{});
    if constexpr(KK>3) fringe_dim(std::integral_constant<int,3>{});
    if constexpr(KK>4) fringe_dim(std::integral_constant<int,4>{});
    if constexpr(KK>5) fringe_dim(std::integral_constant<int,5>{});
    if constexpr(KK>6) fringe_dim(std::integral_constant<int,6>{});
    if constexpr(KK>7) fringe_dim(std::integral_constant<int,7>{});
    if constexpr(KK>8) fringe_dim(std::integral_constant<int,8>{});
    if constexpr(KK>9) fringe_dim(std::integral_constant<int,9>{});
}

__attribute__((target("avx2,popcnt")))
static void a13_tie_flush(u32 *out) {
  u32 n = s_tn;
  if (!n) return;
  s_tn = 0;
  const __m256i all8 = _mm256_set1_epi32(-1);
  u32 b0 = 0;
  while (b0 < n) {
    u32 b1 = b0 + 256u; if (b1 > n) b1 = n;
    for (u32 q = b0; q < b1; q++) {
      const u32 *e = s_tbuf + (size_t)q * TIE_EW;
      u32 j = s_ord[e[2]][e[1]] & 0xFFFFFu;
      s_tj[q] = j;
      _mm_prefetch((const char *)(s_pm + (size_t)j * STRIDE), _MM_HINT_T0);
    }
    for (u32 q = b0; q < b1; q++) {
      const u32 *e = s_tbuf + (size_t)q * TIE_EW;
      const u32 *cp = s_pm + (size_t)s_tj[q] * STRIDE;
      __m256i pv = LDU256(cp);
      __m256i qv = _mm256_loadu_si256((const __m256i *)(e + 3));
      u32 ok = (u32)_mm256_testc_si256(_mm256_cmpgt_epi32(qv, pv), all8);
      out[e[0]] += ok;
    }
    b0 = b1;
  }
}

__attribute__((target("avx2")))
static void solve_mf(u32 N, const unsigned **x, u32 *out, int k) {
++solve_generation;
  s_tn = 0;

  const u32 W = ((N + 63) / 64 + 7u) & ~7u;
  g_W = W;
#ifdef MF_SKIP_AND
  g_skip_and = 1;
#endif
#ifdef MF_FILT
  g_use_filt = 1;
#endif
#ifdef MF_NOFILT
  g_use_filt = 0;
#endif
#ifdef MF_Q
  g_Q = MF_Q; g_B = (u32)((N + (MF_Q) - 1) / (MF_Q));
#endif
#ifdef MF_FILT
  g_use_filt = 1;
#endif
#ifdef MF_NOFILT
  g_use_filt = 0;
#endif
#ifdef MF_SKIP_FRINGE
  g_skip_fringe = 1;
#endif
  if (!g_Q) {

    u64 r = (u64)N, s2 = 0;
    while (s2 * s2 < r) s2++;

    u64 overhead = (u64)(5 * k + 21) * N * 4;
#if !MF_NOFILTB

    overhead += (u64)k * k * 4 * N;
#endif

    overhead += (u64)k * k * ((u64)N + 64);
    overhead += (u64)N * ((k <= 8) ? 8u : (u32)k) * 4 * k;
    u64 budget = ((u64)MF_BUDGETMB << 20);
    if (budget > overhead + ((u64)64 << 20)) budget -= overhead; else budget = (u64)64 << 20;

#if MF_PLEN
    static const u32 kfill[7] = {72, 67, 62, 58, 54, 50, 46};
    u64 perfill = ((u64)(k - 1) * W * 8) * kfill[k - 4] / 100;
#else
    u64 perfill = (u64)(k - 1) * W * 8;
#endif
    u64 Qmem = budget / (perfill ? perfill : 1);
    if (Qmem < 8) Qmem = 8;
    static const u32 kscale[7] = {82, 91, 100, 108, 115, 122, 129};
    u32 q = (u32)((s2 * MF_QCOEF + 99) / 100);
    q = (u32)(((u64)q * kscale[k - 4] + 99) / 100);
    if (k == 9 && N >= 900000) q = 1400;
    if ((u64)q > Qmem) q = (u32)Qmem;
    if (q > N) q = N;

    if (q > (u32)(MAXQ - 1)) q = (u32)(MAXQ - 1);
    g_Q = q;
    g_B = (N + q - 1) / q;
  }
  const u32 Q = g_Q, B = g_B;
  const u64 bmag = ((1ull << 40) + B - 1) / B;
#if MF_PLEN
  g_plen_on = 1;
#endif
#if MF_WTRIM
  u32 Wpool = W;
#else
  const u32 Wpool = W;
#endif
#if MF_FILTAUTO
  if (!g_use_filt && B >= 400) g_use_filt = 1;
#endif
  if (g_use_filt && (u64)k * k * (g_Qc + 1) * W * 8 > ((u64)700 << 20)) g_use_filt = 0;
#if !MF_FILTAUTO
  g_use_filt = 0;
#endif
  {
    int lo8[8], hi8[8];
    for (int e = 0; e < 8; e++) lo8[e] = (e < k) ? 0 : 0x7FFFFFFF;
    for (int e = 0; e < 8; e++) hi8[e] = (8 + e < k) ? 0 : 0x7FFFFFFF;
    khi8v = LDU256(lo8);
    khi8hv = LDU256(hi8);
  }
  const int K1 = k - 1;

  for (int d = 0; d < k; d++) {
    const unsigned *xd = x[d];
    u32 *od = s_ord[d];

    u32 *ct = s_ct;
    int pk = 1;
    for (u32 i = 0; i <= N; i++) ct[i] = 0;
    for (u32 i = 0; i < N; i++) { u32 v = xd[i]; ct[v < N ? v : 0] += 1u; }
    { u32 s = 0, mx = 0;
      for (u32 i = 0; i <= N; i++) { u32 c = ct[i]; ct[i] = s; s += c; if (c > mx) mx = c; }
      if (mx > 4095u) pk = 0;
    }
    if (!pk) {
    for (u32 i = 0; i <= N; i++) s_cntv[i] = 0;
    for (u32 i = 0; i < N; i++) { u32 v = xd[i]; s_cntv[v < N ? v : 0]++; }
    { u32 s = 0; for (u32 i = 0; i <= N; i++) { u32 c = s_cntv[i]; s_cntv[i] = s; s_tmp[i] = s; s += c; } }
    {
      u32 *pp = s_pos[d];
      for (u32 i = 0; i < N; i++) {
#if MF_PFSC2 > 0
        if (i + MF_PFSC2 < N) { u32 vp = xd[i + MF_PFSC2]; _mm_prefetch((const char *)(s_tmp + (vp < N ? vp : 0u)), _MM_HINT_T0); }
#endif
        u32 v = xd[i]; if (v >= N) v = 0; u32 q = s_tmp[v]++; pp[i] = q;
      }
    }
    { u32 *gt = s_gt[d];
      for (u32 i = 0; i < N; i++) {
#if MF_PFSC > 0
        if (i + MF_PFSC < N) { u32 vp = xd[i + MF_PFSC]; _mm_prefetch((const char *)(s_cntv + (vp < N ? vp : 0u)), _MM_HINT_T0); }
#endif
        u32 v = xd[i]; if (v >= N) v = 0;
        gt[i] = s_cntv[v];
        u32 num = s_cntv[v + 1] - 1u; if (num > N) num = N;
        u32 bb = (u32)(((u64)num * bmag) >> 40);
        u32 bbq = bb > Q - 1 ? Q - 1 : bb;
        s_bdT[(size_t)d * E6Z_BDR + i] = bbq;
      } }
#if MF_FB2
    for (u32 i = 0; i < N; i++) {
#if MF_PFSC2 > 0
        if (i + MF_PFSC2 < N) { u32 vp = xd[i + MF_PFSC2]; _mm_prefetch((const char *)(s_tmp + (vp < N ? vp : 0u)), _MM_HINT_T0); }
#endif
      u32 v = xd[i]; if (v >= N) v = 0; u32 q = s_tmp[v]++; od[q] = i;
      s_posp[(size_t)i * MAXK + d] = q;
    }
#else

    } else {
    {
      u32 *pp = s_pos[d];
      u32 *gt = s_gt[d];
      u32 *ctp = s_ct;
      for (u32 i = 0; i < N; i++) {
#if MF_PFSC2 > 0
        if (i + MF_PFSC2 < N) { u32 vp = xd[i + MF_PFSC2]; _mm_prefetch((const char *)(ctp + (vp < N ? vp : 0u)), _MM_HINT_T0); }
#endif
        u32 v = xd[i]; if (v >= N) v = 0;
        u32 w = ctp[v];
        u32 st = w & 0xFFFFFu;
        pp[i] = st + (w >> 20);
        gt[i] = st;
        u32 num = (ctp[v + 1] & 0xFFFFFu) - 1u; if (num > N) num = N;
        u32 bb = (u32)(((u64)num * bmag) >> 40);
        u32 bbq = bb > Q - 1 ? Q - 1 : bb;
        s_bdT[(size_t)d * E6Z_BDR + i] = bbq;
        ctp[v] = w + (1u << 20);
      }
    }
    }
    {
      const u32 *pp = s_pos[d];
      const u16 *bdt = s_bdT + (size_t)d * E6Z_BDR;
      for (u32 i = 0; i < N; i++) {
#if MF_PFSC2 > 0
        if (i + MF_PFSC2 < N) { u32 qp = pp[i + MF_PFSC2]; _mm_prefetch((const char *)(od + qp), _MM_HINT_T0); }
#endif
        od[pp[i]] = i | ((u32)bdt[i] << 20);
      }
    }
#endif
    BVAL(d, 0) = 0; FPOS(d, 0) = 0;
    for (u32 b = 1; b < Q; b++) {
      u32 pos = b * B < N ? b * B : N - 1;
      u32 v = xd[od[pos] & 0xFFFFFu];
      BVAL(d, b) = v;
      u32 gs = pos;
      while (gs > 0 && xd[od[gs - 1] & 0xFFFFFu] == v) gs--;
      FPOS(d, b) = gs;
    }
    BVAL(d, Q) = 0xFFFFFFFFu; FPOS(d, Q) = 0;
  }

  for (u32 i0 = 0; i0 < N; i0 += 64) {
    u32 i1 = i0 + 64; if (i1 > N) i1 = N;
    for (u32 i = i0; i < i1; i++) {
      u16 *dst = s_bd + (size_t)i * MAXK;
      for (int dd = 0; dd < k; dd++) dst[dd] = s_bdT[(size_t)dd * E6Z_BDR + i];
    }
  }
  for (u32 i = 0; i < N; i++) {
    u32 *p = s_pm + (size_t)i * STRIDE;
    for (int d = 0; d < k; d++) p[d] = x[d][i];
    for (int d = k; d < STRIDE; d++) p[d] = 0;
    const u16*bd=s_bd+(size_t)i*MAXK;
    for(int d=0;d<k;d++)p[8+d]=BVAL(d,bd[d]);
    for(int d=k;d<8;d++)p[8+d]=0x7fffffffu;

  }

  {
    u32 nn = N - 1; u32 sh = 0;
    while (nn > 255u) { nn >>= 1; sh++; }
    g_sigsh = sh;
    size_t need = (size_t)k * k * MF_SPL;
    static u8 *sigpool = 0; static size_t sigcap = 0;

    if (need > ((size_t)220 << 20) || (size_t)N + 32 > MF_SPL) { sigpool = 0; sigcap = 0; }
    else if (need > sigcap) { sigpool = (u8 *)pool_alloc(need); sigcap = sigpool ? need : 0; }
    if (sigpool) {
      s_sig = sigpool;

      g_sig_on = 1;
      g_sig_merged = 0;
    }
  }

#if MF_NOFILTB
  g_use_filt = 0;
#endif
#if MF_FB3
  if (g_use_filt) {
    u32 Qc = g_Qc;
    u64 wc = (u64)N / Qc + 1;
    for (int e = 0; e < k; e++) {
      const unsigned *xe = x[e];
      const u32 *pe = s_ord[e];
      u32 ptr = 0;
      u32 *bn = s_bnde + (size_t)e * (MAXQ + 2);
      for (u32 c = 0; c <= Qc; c++) {
        u64 v = (u64)c * wc;
        if (v > 0xFFFFFFFFull) v = 0xFFFFFFFFull;
        while (v && ptr < N && (u64)xe[pe[ptr] & 0xFFFFFu] < v) ptr++;
        bn[c] = ptr;
      }
    }
  }
#endif
  if (g_use_filt) {
    u32 Qc = g_Qc;
    u64 wc = (u64)N / Qc + 1;
    size_t need2 = (size_t)k * k * (Qc + 1) * W * sizeof(u64);
    static u64 *fpool = 0; static size_t fcap = 0;
    if (need2 > fcap) { fpool = (u64 *)pool_alloc(need2 + 4096); fcap = need2; }
    if (fpool) {
      s_fbm = fpool; g_fbm_W = W;
#if MF_FB2

      for (int d = 0; d < k; d++)
        for (int e = 0; e < k; e++) {
          if (e == d) continue;
          u64 *b0 = s_fbm + (size_t)(d * k + e) * (Qc + 1) * W;
          for (u32 w = 0; w < W; w++) b0[w] = 0;
        }
      for (int e = 0; e < k; e++) {
        const unsigned *xe = x[e];
        const u32 *pe = s_ord[e];
        int dmap[MAXK], km1 = 0;
        for (int d = 0; d < k; d++) if (d != e) dmap[km1++] = d;
        for (int i = 0; i < km1; i++) { u64 *a = s_facc + (size_t)i * W; for (u32 w = 0; w < W; w++) a[w] = 0; }
        u32 ptr = 0;
        for (u32 c = 1; c <= Qc; c++) {
          u64 v = (u64)c * wc;
          if (v > 0xFFFFFFFFull) v = 0xFFFFFFFFull;
          while (ptr < N && (u64)xe[pe[ptr] & 0xFFFFFu] < v) {
            const u32 *pv = s_posp + (size_t)pe[ptr] * MAXK;
            for (int i = 0; i < km1; i++) {
              u32 q = pv[dmap[i]];
              s_facc[(size_t)i * W + (q >> 6)] |= 1ull << (q & 63);
            }
            ptr++;
          }
          for (int i = 0; i < km1; i++) {
            int d = dmap[i];
            u64 *dst = s_fbm + ((size_t)(d * k + e) * (Qc + 1) + c) * W;
            const u64 *src = s_facc + (size_t)i * W;
#if MF_NT
            { u32 w = 0;
              for (; w + 4 <= W; w += 4) _mm256_stream_si256((__m256i *)(dst + w), _mm256_load_si256((const __m256i *)(src + w)));
              for (; w < W; w++) dst[w] = src[w]; }
#else
            for (u32 w = 0; w < W; w++) dst[w] = src[w];
#endif
          }
        }
      }
#else
      for (int d = 0; d < k; d++) {
        for (int e = 0; e < k; e++) {
          if (e == d) continue;
          const unsigned *xe = x[e];
          const u32 *pe = s_ord[e];
          const u32 *pd = s_pos[d];
          u64 *base = s_fbm + (size_t)(d * k + e) * (Qc + 1) * W;
          for (u32 w = 0; w < W; w++) base[w] = 0;
          u64 *cur = s_acc;
          for (u32 w = 0; w < W; w++) cur[w] = 0;
          u32 ptr = 0;
          for (u32 c = 1; c <= Qc; c++) {
#if MF_FB3
            u32 pend = s_bnde[(size_t)e * (MAXQ + 2) + c];
#else
            u64 v = (u64)c * wc;
            if (v > 0xFFFFFFFFull) v = 0xFFFFFFFFull;
            u32 pend = ptr;
            { const unsigned *xe_ = xe; const u32 *pe_ = pe;
              while (pend < N && (u64)xe_[pe_[pend] & 0xFFFFFu] < v) pend++; }
#endif
            while (ptr < pend) { u32 q = pd[pe[ptr] & 0xFFFFFu]; cur[q >> 6] |= 1ull << (q & 63); ptr++; }
            u64 *dst = base + (size_t)c * W;
#if MF_NT
            { u32 w = 0;
              for (; w + 4 <= W; w += 4) _mm256_stream_si256((__m256i *)(dst + w), _mm256_load_si256((const __m256i *)(cur + w)));
              for (; w < W; w++) dst[w] = cur[w]; }
#else
            for (u32 w = 0; w < W; w++) dst[w] = cur[w];
#endif
          }
        }
      }
#endif
    } else { g_use_filt = 0; }
    _mm_sfence();
  }

  {
    size_t mrn = (size_t)MAXK * MAXK * MAXQ;
    for (size_t z = 0; z < mrn; z++) s_maxr[z] = 0;
  }

  {
    static u32 y2_dsb[1024], y2_bst[1024];
    for (u32 i0 = 0; i0 < N; i0 += 1024) {
      u32 i1 = i0 + 1024; if (i1 > N) i1 = N;
      for (u32 i = i0; i < i1; i++) {
        u32 best = 0xFFFFFFFFu; int ds = 0;
        for (int d = 0; d < k; d++) {
          u32 g = s_gt[d][i];
          if (g < best) { best = g; ds = d; }
        }
        y2_dsb[i - i0] = (u32)ds;
        y2_bst[i - i0] = best;
        s_g[i] = (u32)ds;
        { u32 *w = s_gn + (i >> 3); u32 sh = (i & 7u) << 2; *w = (*w & ~(0xFu << sh)) | ((u32)ds << sh); }
      }
      if (g_plen_on) {

        for (u32 i = i0; i < i1; i++) {
          u32 ds = y2_dsb[i - i0];
          u32 bb = y2_bst[i - i0];
          const u16 *bdv = s_bd + (size_t)i * MAXK;
          u32 *mr = s_maxr + ((size_t)ds * MAXK) * MAXQ;
          for (int d = 0; d < k; d++) {
            if (d == ds) continue;
            u32 b = bdv[d];
            if (bb > mr[(size_t)d * MAXQ + b]) mr[(size_t)d * MAXQ + b] = bb;
          }
        }
      }
    }
  }
  for (u32 i = 0; i < N; i++) s_qord[i] = i;

  {
    for (u32 v = 0; v <= (u32)k; v++) s_cntv[v] = 0;
    for (u32 i = 0; i < N; i++) s_cntv[SG(i) + 1]++;
    { u32 ac = 0; for (u32 v = 0; v <= (u32)k; v++) { u32 c = s_cntv[v]; s_cntv[v] = ac; ac += c; } }
    for (u32 i = 0; i < N; i++) { u32 id = s_qord[i]; s_tmp[s_cntv[SG(id) + 1]++] = id; }
    for (u32 i = 0; i < N; i++) s_qord[i] = s_tmp[i];
  }
  u32 gstart[MAXK + 2];
  { u32 c = 0; for (int d = 0; d <= k; d++) { gstart[d] = c; while (c < N && (int)SG(s_qord[c]) == d) c++; } gstart[k + 1] = c; }

  for (int d = 0; d < k; d++) {
    u32 pos[MAXK];
    for (int ds = 0; ds < k; ds++) pos[ds] = gstart[ds];
    for (u32 r = 0; r < N; r++) {

      if (r + 32 < N) {
        u32 idp = s_ord[d][r + 32] & 0xFFFFFu;
        _mm_prefetch((const char *)(s_gn + (idp >> 3)), _MM_HINT_T0);
      }
      u32 x = s_ord[d][r];
      u32 id = x & 0xFFFFFu;
      u32 dst = pos[SG(id)]++;
      s_frord[d][dst] = x;
    }
  }

#if MF_NOSDMP
  g_nosdmp = 1;
#endif
  if (!g_nosdmp) {
    u32 KS = k;
#if MF_KSPAD
    if (k <= 8) KS = 8;
#endif
    size_t per = (size_t)N * KS * 4;
    size_t lim = (size_t)150 << 20;
    if (k >= 9) lim = (size_t)470 << 20;
    if (per * k <= lim) {
      static u32 *pool = 0; static size_t cap = 0;
      if (per * k > cap) { pool = (u32 *)pool_alloc(per * k + 256); cap = per * k; }
      if (pool) {
        g_KS = KS;
        for (int d = 0; d < k; d++) {
          s_sdmp[d] = pool + (size_t)d * N * g_KS;
          const u32 *od = s_ord[d];
          u32 *dst = s_sdmp[d];
          const u32 KSx = g_KS;
          for (u32 j = 0; j < N; j++) {
#if MF_PFB > 0
            if (j + MF_PFB < N) _mm_prefetch((const char *)(s_pm + (size_t)(od[j + MF_PFB] & 0xFFFFFu) * STRIDE), _MM_HINT_T0);
#endif
            const u32 *row = s_pm + (size_t)(od[j] & 0xFFFFFu) * STRIDE;
            u32 *dp = dst + (size_t)j * KSx;
            for (u32 e = 0; e < KSx; e++) dp[e] = (e < (u32)k) ? row[e] : 0u;
            if (s_sig) {
              u8 *sb = s_sig + (size_t)d * k * MF_SPL;
              for (int e = 0; e < k; e++) { u32 z_ = row[e] >> g_sigsh; sb[(size_t)e * MF_SPL + j] = (u8)(z_ ^ 0x80u); }
            }
          }
          if (s_sig) g_sig_merged = 1;
        }
      }
    }
  }

  if (s_sig && !g_sig_merged && k==7) {
    static u8 cached_signature[(size_t)MAXN*8] __attribute__((aligned(64)));
    for(u32 i=0;i<N;i++)for(int e=0;e<7;e++){u32 v=x[e][i]>>g_sigsh;cached_signature[(size_t)i*8+e]=(u8)(v ^ 0x80u);}
    for(int d=0;d<k;d++) {
      const u32 *od=s_ord[d];
      u8 *base=s_sig+(size_t)d*k*MF_SPL;
      u32 j=0;
      for(;j+8<=N;j+=8) {
        if(j+64<N)_mm_prefetch((const char *)(cached_signature+(size_t)(od[j+64]&0xFFFFFu)*8),_MM_HINT_T0);
        __m128i r0=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+0]&0xFFFFFu)*8));
        __m128i r1=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+1]&0xFFFFFu)*8));
        __m128i r2=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+2]&0xFFFFFu)*8));
        __m128i r3=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+3]&0xFFFFFu)*8));
        __m128i r4=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+4]&0xFFFFFu)*8));
        __m128i r5=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+5]&0xFFFFFu)*8));
        __m128i r6=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+6]&0xFFFFFu)*8));
        __m128i r7=_mm_loadl_epi64((const __m128i *)(cached_signature+(size_t)(od[j+7]&0xFFFFFu)*8));
        __m128i t0=_mm_unpacklo_epi8(r0,r1);
        __m128i t1=_mm_unpacklo_epi8(r2,r3);
        __m128i t2=_mm_unpacklo_epi8(r4,r5);
        __m128i t3=_mm_unpacklo_epi8(r6,r7);
        __m128i u0=_mm_unpacklo_epi16(t0,t1);
        __m128i u1=_mm_unpackhi_epi16(t0,t1);
        __m128i u2=_mm_unpacklo_epi16(t2,t3);
        __m128i u3=_mm_unpackhi_epi16(t2,t3);
        __m128i v0=_mm_unpacklo_epi32(u0,u2);
        __m128i v1=_mm_unpackhi_epi32(u0,u2);
        __m128i v2=_mm_unpacklo_epi32(u1,u3);
        __m128i v3=_mm_unpackhi_epi32(u1,u3);
        __m128i h0=_mm_unpackhi_epi8(r0,r1);
        __m128i h1=_mm_unpackhi_epi8(r2,r3);
        __m128i h2=_mm_unpackhi_epi8(r4,r5);
        __m128i h3=_mm_unpackhi_epi8(r6,r7);
        __m128i hu0=_mm_unpacklo_epi16(h0,h1),hu1=_mm_unpacklo_epi16(h2,h3);
        __m128i v4=_mm_unpacklo_epi32(hu0,hu1);
        _mm_storel_epi64((__m128i *)(base+(size_t)0*MF_SPL+j),v0);
        _mm_storel_epi64((__m128i *)(base+(size_t)1*MF_SPL+j),_mm_srli_si128(v0,8));
        _mm_storel_epi64((__m128i *)(base+(size_t)2*MF_SPL+j),v1);
        _mm_storel_epi64((__m128i *)(base+(size_t)3*MF_SPL+j),_mm_srli_si128(v1,8));
        _mm_storel_epi64((__m128i *)(base+(size_t)4*MF_SPL+j),v2);
        _mm_storel_epi64((__m128i *)(base+(size_t)5*MF_SPL+j),_mm_srli_si128(v2,8));
        _mm_storel_epi64((__m128i *)(base+(size_t)6*MF_SPL+j),v3);
      }
      for(;j<N;j++) {
        const u8 *row=cached_signature+(size_t)(od[j]&0xFFFFFu)*8;
        for(int e=0;e<k;e++)base[(size_t)e*MF_SPL+j]=row[e];
      }
    }
    g_sig_merged=1;
  }
  if (s_sig && !g_sig_merged) {
    for (int d = 0; d < k; d++) {
      const u32 *od = s_ord[d];
      u8 *base = s_sig + (size_t)d * k * MF_SPL;
      for (u32 j = 0; j < N; j++) {
#if MF_PFB > 0
        if (j + MF_PFB < N) _mm_prefetch((const char *)(s_pm + (size_t)(od[j + MF_PFB] & 0xFFFFFu) * STRIDE), _MM_HINT_T0);
#endif
        const u32 *row = s_pm + (size_t)(od[j] & 0xFFFFFu) * STRIDE;
        for (int e = 0; e < k; e++) { u32 z_ = row[e] >> g_sigsh; base[(size_t)e * MF_SPL + j] = (u8)(z_ ^ 0x80u); }
      }
    }
  }

  u64 poolwords = (u64)K1 * (Q + 1) * W;
#if MF_PLEN
  if (g_plen_on) {
    u64 best = 0;
    for (int dsx = 0; dsx < k; dsx++) {
      u64 tot = 0;
      for (int e = 0; e < K1; e++) {
        int d = (e < dsx) ? e : e + 1;
        const u32 *mr = s_maxr + ((size_t)dsx * MAXK + d) * MAXQ;
        for (u32 b = 0; b <= Q; b++) {
          u32 RR = mr[b];
          u32 len = ((RR >> 6) + 8u) & ~7u;
          if (len > W) len = W;
          tot += len;
        }
      }
      if (tot > best) best = tot;
    }
    if (best && best < poolwords) poolwords = best;
  }
#endif
  size_t need = (size_t)poolwords * sizeof(u64);
  static u64 *pool = 0; static size_t cap2 = 0;
  if (need > cap2) { pool = (u64 *)pool_alloc(need + 4096); cap2 = need; }
  s_bs = pool;
#if MF_INCA

  {
    size_t needho = (size_t)N * sizeof(u32) + 4096;
    if (needho > s_ho_cap) { s_ho = (u32 *)pool_alloc(needho); s_ho_cap = s_ho ? needho : 0; }
    g_inca = (s_ho && (u64)N <= (u64)AS_WORDS * 64ull) ? 1 : 0;
  }
#endif

  for (int ds = 0; ds < k; ds++) {
    u32 q0 = gstart[ds], q1 = gstart[ds + 1];
    if (q0 >= q1) continue;
#if MF_WTRIM
    {
      u32 mx = 1;
      for (u32 qi = q0; qi < q1; qi++) { u32 rr = s_gt[ds][s_qord[qi]]; if (rr > mx) mx = rr; }
      u32 wp = ((mx >> 6) + 8u) & ~7u;
      Wpool = (wp < W) ? wp : W;
    }
#endif
#if MF_PLEN

    if (g_plen_on) {
      u64 tot = 0;
      for (int e = 0; e < K1; e++) {
        int d = (e < ds) ? e : e + 1;
        const u32 *mr = s_maxr + ((size_t)ds * MAXK + d) * MAXQ;
        u32 *po = s_pofs + (size_t)e * MAXQ;
        u32 *pl = s_plen + (size_t)e * MAXQ;
        for (u32 b = 0; b <= Q; b++) {

          u32 RR = mr[b];
          u32 len = ((RR >> 6) + 8u) & ~7u;
          if (len > Wpool) len = Wpool;
          po[b] = (u32)tot; pl[b] = len; tot += len;
        }
      }
      if (tot > (u64)K1 * (Q + 1) * W) { g_plen_on = 0; }
    }
#endif

    const u32 *const spp = s_pos[ds];
    for (int e = 0; e < K1; e++) {
      int d = (e < ds) ? e : e + 1;
      const unsigned *xd = x[d];
      const u32 *od = s_ord[d];
#if MF_INCA

      if (g_inca && d == ((ds == 0) ? 1 : 0)) {
        u32 *dstho = s_ho;
        const u32 *hp = spp;
        for (u32 j = 0; j < N; j++) dstho[j] = hp[od[j] & 0xFFFFFu];
        continue;
      }
#endif
      u64 *base = g_plen_on ? s_bs : (s_bs + (size_t)e * (Q + 1) * Wpool);
      u64 *cur = s_acc;
      for (u32 w = 0; w < Wpool; w++) cur[w] = 0;
      if (g_plen_on) {

        u64 *d0 = s_bs + s_pofs[(size_t)e * MAXQ];
        u32 l0 = s_plen[(size_t)e * MAXQ];
        for (u32 w = 0; w < l0; w++) d0[w] = 0;
      }
      u32 ptr = 0;
#if MF_BUILD_NOPOOL
      while (ptr < N) ptr++;
#else
      for (u32 b = 1; b <= Q; b++) {

        u32 pend = (b < Q) ? FPOS(d, b) : (u32)N;
        while (ptr < pend) { u32 q = spp[od[ptr] & 0xFFFFFu]; cur[q >> 6] |= 1ull << (q & 63); ptr++; }
        u64 *dst = g_plen_on ? (base + s_pofs[(size_t)e * MAXQ + b])
                              : (base + (size_t)b * Wpool);
        u32 wlen = g_plen_on ? s_plen[(size_t)e * MAXQ + b] : Wpool;
#if MF_NT

        {
          u32 w = 0;
          for (; w + 4 <= wlen; w += 4)
            _mm256_stream_si256((__m256i *)(dst + w), _mm256_load_si256((const __m256i *)(cur + w)));
          for (; w < wlen; w++) dst[w] = cur[w];
        }
#else
        for (u32 w = 0; w < wlen; w++) dst[w] = cur[w];
#endif
      }
      _mm_sfence();
#endif
    }
    query_group<7>(N, out, ds, q0, q1, Q, Wpool);
    a13_tie_flush(out);
  }
}

void count_7d(int n, const unsigned *x[7], unsigned *out) { solve_mf((u32)n, (const unsigned **)x, out, 7); }


CompilationN/AN/ACompile OKScore: N/A

Testcase #14.306 s639 MB + 848 KBAcceptedScore: 100


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