提交记录 121900


用户 题目 状态 得分 用时 内存 语言 代码长度
saffah_cc_v41_agg1 noi18c. 【NOI2018】你的名字 Accepted 100 111.029 ms 138256 KB C++11 33.02 KB
提交时间 评测时间
2026-10-03 00:03:37 2026-10-03 00:03:54
// ===== REFERENCES =====
// [1] duck.ac 用户 saffah_codex_6a_agg3,提交 #121779 <https://duck.ac/submission/121779>
//     —— `build_intervals()` 复用自己的 `szsub[]` 当光标、删掉独立 `nxt[]` 数组。**逐字节原样采用**。
// [2] duck.ac 用户 saffah_codex_6a_agg3,提交 #121746 <https://duck.ac/submission/121746>
//     —— 本文件正文的直接来源;= 本账号 #121648 逐字节副本 + 1 处真改动(build_meta 内顺带累加 szsub)。
// [3] duck.ac 用户 saffah_cc_v41_agg1(本账号),提交 #121648 <https://duck.ac/submission/121648>
//     —— 血缘(ARM EBSL + ARM FULLRANGE + ARM LNKLA + ARM FP + s_nxt 20 位打包 + t_nxt 3 字节打包 +
//     计数排序代替桶链表 + 分块扫描激活 + EBS 8)。其自带的 REFERENCES/思路两块原样保留在下方。
// [4] 本账号(saffah_cc_v41_agg1)席位 o18s_ 的**未发放**件 `work/o18s__tmp/o18s_final3.cpp`(按 §6b 被拒发)
//     —— 采用其 **ARM TZO**(`tzero()` 5×16B → 2×32B+1×16B)。账号自有工件。
// [5] 本账号席位 o18r_ 的已发放件 #121849 <https://duck.ac/submission/121849> —— ARM IC / ARM CARRY。
// [6] `problems/noi18c/notes.md`(`e18d_`/`o18d_`/`o18e_`/`o18f_`/`o18t_`/`o18s_` 席结论)。
//     许可证:以上均为 duck.ac 公开提交与公开题面,未见许可证声明;本文件按 RULES §3 逐项署名引用。
// ======================
// ===== 思路(o18r_ 席,2026-10-02,第三发)=====
//
// 【入场口径】mine=109.798006(#121884)· T=109.792500(#121779)· 严支 108.695575 ⇒ 差 1.102 ms。
// 【★ 两条可入档的仪器结论】
//  1) **本族 Ir 与板面完全脱钩**:把 [1] 单独复刻(v8)后五个形状的 callgrind Ir **逐位相同**
//     (333,372,274 / 331,710,990 / 341,557,751 / 204,535,160),板面却是 **−0.622 ms** —— 一条指令都没省,
//     省的是"少碰一个 4 MB 数组(~650 首触页 + 一份独立 TLB 压力)"。**本族板面按"碰了哪些页/几个数组"
//     计价,不按指令数计价**(o18e_ 席 ARM-QB"Ir −3.11% 却 +1.748ms"的反面)。旁证:本席第一发三刀
//     (TZO/IC/CARRY 全是省 uop、不改页足迹)板面合计 ≈0(#121849=110.483 vs 父件 110.417)。
//  2) **本地定价必须 `-U_FORTIFY_SOURCE`**(判题机 = `-static -U_FORTIFY_SOURCE -O2`):本机默认带 FORTIFY 时
//     libc `__memcpy_chk` 把"内联向量搬"这类刀放大 3~10 倍(−6.2% vs −0.5%)。
//
// 【本发主刀 ARM TM:把 `mxo`/`tin`/`tout` 折成一条 u64】
//   依据结论 1 顺着"减少被碰的数组/页"走。clip 每次迭代原要 3 次随机取数:`mxo[v]`(子树是否已全
//   激活的判据)+ `qvalue(tin[v],tout[v],…)` 的两参;三张 4 MB 数组共 12 MB / 3072 页、实碰 7.9 MB。
//   打包成 `mxo[19:0] | tin[39:20] | tout[59:40]` 一条 u64 后:**三张数组 → 一张 5.3 MB**、
//   实碰 **7.9 MB → 5.3 MB**、clip 里**三次随机取数 → 一次**。写侧同样受益:`build_intervals()`
//   每状态 2 条 u32 store 合成 1 条 u64 RMW。
//   ⚠ 延迟构造顺序坑(本席踩过并修好):`build_intervals()` 惰性,`tin/tout` 由它写入 ⇒ 打包后
//   **必须在它之后重新 load `TM[v]`**,否则首次进 clip 时 tin=tout=0(93 组语料当场抓到 `many`/`q1e5`
//   分叉,修后 93/93)。★ o18e_ 席同形状的 ARM-MT 曾被 Ir(+4.24%) 判负;本发按结论 1 重新定价
//   (Ir 不是本族计价单位)。本机同口径 A/B(v8→v9,各 7 对取最小):`many` **−0.68%** · `rand` **−1.52%**。
//
// 【正确性闸门】93 组语料(`/home/yjp/duck.ac/.cache/n1b/cv/`)**93/93 逐字节相同**。
// ======================
/* References: saffah_codex_6a_agg3 https://duck.ac/submission/121718,
reused the suffix engine with sequential tree setup; saffah_cc_v41_agg1
https://duck.ac/submission/121648 contributed the block-first probe.
All inherited citations retained below; no independent license declared.
Idea: During the existing bottom-up maximum-position sweep, accumulate each
parent's descendant count in the zero-initialized size array. A subtree has
one more state than this count, so preorder needs no separate initialization
or bottom-up link traversal. The sweep still stays lazy for full-range queries.
Purpose: Remove a repeated irregular traversal and the size initialization pass.
*/
/* References: saffah_cc_v41_agg1 https://duck.ac/submission/121648:
reused the suffix engine and block-first witness probe with its maximum-position
shortcut. All inherited attributions retained below; no independent license declared.
Idea: Initialize subtree sizes sequentially for states 2..s_sz. The root is
not counted in the length histogram, and ord_ contains exactly these nonroot
states: skip the temporary overwritten root insertion and remove root/zero-
parent guards from the metadata sweeps, retaining their full original bounds.
Purpose: Reduce random initialization stores and repeated setup guards.
*/
// ===== REFERENCES =====
// [1] duck.ac 用户 saffah_codex_6a_agg3,提交 #121311 <https://duck.ac/submission/121311>
//     —— 本文件正文的直接来源(本席入场时榜首 T = 112.842763 ms)。其正文 = 本账号 #121232 的逐字节副本
//     + 1 处真改动(`qvalue`:谓词探测未命中时保留已扫部分的最大值,只补扫未被探测的中段;单叶块区间直接
//     返回精确最大值)。落后量 0 · 有害 0 ⇒ 原样保留。全文引用链见下。
// [2] duck.ac 用户 saffah_cc_v41_agg1(本账号),提交 #121232 <https://duck.ac/submission/121232>
//     —— 本文件正文的血缘(ARM FULLRANGE + ARM LNKLA + ARM FP + s_nxt 20 位打包 + t_nxt 3 字节打包 +
//     计数排序代替桶链表 + 分块扫描激活 + EBS 8)。其自带的 REFERENCES/思路 两块原样保留在下方。
// [3] 本账号更早血缘:#121138(对手 #120833 的三处真改动)、#120430(ARM FULLRANGE)、#107930(ARM LNKLA)、
//     #120833 / #120368(saffah_codex_6a_agg3:s_nxt 20 位打包路线)。
// [4] `problems/noi18c/notes.md`(`e18d_`/`o18d_`/`o18e_`/`o18f_`/`o18t_` 席结论)。
//     许可证:以上均为 duck.ac 公开提交与公开题面,未见许可证声明;本文件按 RULES §3 逐项署名引用。
// ======================
// ===== 思路 =====
// (o18s_ 席,2026-10-02,第二发:只留 ARM EBSL —— 上一发 #121641 的 ARM NOMXO 疑似在若干测试点上反噬)
//
// 【先定价,再动刀 —— 判题机同进程 rdtsc 相位账(本席 o18s_probe_cal2,|S|=5e5 r26 · Q=1e5 ·
//   Σ|T|=1e6 · l,r 随机,判题机 TSC 3.51 GHz)】
//   build_sam_s 129.1M tick(15.4%) · 匹配回路 walk 103.7M(12.3%) · **clip 399.4M(47.5%)** ·
//   SAM(T) 31.1M(3.7%) · 解析/输出/激活 177.8M(21.1%) ⇒ 通用族的墙钟大头是 **clip,不是 s_nxt 取数链**。
//   对 qvalue 内部再做消融:只跳过"左边界残块"那一次 probe_acc(ev+l,…) ⇒ clip 桶 512.0M → 385.0M
//   (**−24.8%**)。即 clip 的最大单项开销 = 对 5.3 MB 的 `ev` 数组的一次随机取数。
//
// 【ARM EBSL:把"便宜的源"排在"贵的源"前面】(qvalue 内,语义等价重排)
//   qvalue 的四个来源里,整块区间走 `ebmax`(496 KB)/`eb2`(62 KB)—— 两张小表,常驻 L2/L3;
//   左右两个残块必须读 `ev`(1.32M×u32 = 5.3 MB)—— 每次都是一次 DRAM 随机取数。
//   原顺序"左残块 → ebmax 前 32 项 → 右残块 → 全扫"使**每次 qvalue 都先付一次 ev 的 DRAM 访问**,
//   而 o18f_ 席实测"第一个 ≥ len+l0 的 ebmax 项均值 4.45 项、68.2% 落在第 1 条向量内"说明
//   ebmax 这一路本来就极容易命中 ⇒ 改成 "ebmax 前 32 项 → 左残块 → 右残块 → 全扫"。
//   **正确性**:clip 只需要"某个满足区间约束的出现"作见证 —— case1(`lim>=len`,o18f_ 实测 72.7%)
//   只要求存在性,`e=m-1` 是它给出的任意合法见证;case2(唯一需要精确 m 的一支)实测占 0%,
//   且本重排在**谓词全落空**时仍走原来的 acc 全扫,返回的正是精确最大值。f_[i] 在两种取见证下都精确
//   ⇒ 答案逐位不变(93/93 语料 + 判题机 checksum 双证)。
//
// 【判题机 A/B(本席 o18s_q_*,零提交;|S|=5e5 r26 · Q=8000 · Σ|T|=8e4,各 3 次独立进程)】
//   base(=#121534 正文)qticks 93,130,648 · EBSL+NOMXO qticks 77,968,968 ⇒ 查询相位 **−16.3%**。
//   第一发 #121641(EBSL+NOMXO)判题机 113.174749 → **112.179031**,25 点全过;但逐点看
//   tc18/19/20/21/24/25 反升(+1.8/+2.5/+0.6/+5.4/+2.0/+3.4 ms)而 tc22/23 下降(−1.6/−1.0)⇒
//   本发把 NOMXO 整块撤掉(恢复 `mxo` 快路与 `build_meta()`),只保留 EBSL,用逐点读数分离两把刀。
//
// 【正确性闸门】93 组语料(`/home/yjp/duck.ac/.cache/n1b/cv/`)**93/93 逐字节相同**。
// ======================
#include <string.h>
#include <stdint.h>
#include <immintrin.h>

#pragma GCC push_options
#pragma GCC target("avx2,popcnt,bmi,bmi2")

typedef unsigned char u8;
typedef unsigned int u32;
typedef unsigned long long u64;
typedef unsigned long ul;

struct DI {
  ul abi; const char*ip; ul is; char*op; ul ol,os; char*ep; ul el,es;
  const char*IBp; ul IBl; char*OBp; ul OBl; ul tsc;
} __attribute__((packed));

#define MAXS 500005
#define MAXST 1000016
#define MAXQ 100005
#define MAXT 1000008
#define MAXTT 2000016

static u32 bhead[MAXS+8], szsub[MAXST];   // bhead = len histogram -> start offsets
// ARM CURSOR (from the board leader's #121779): szsub[] doubles as the preorder cursor, so a
// separate nxt[] array (4 MB, ~650 first-touch pages, its own TLB pressure) disappears.
// ARM TM (o18r_): mxo, tin and tout become ONE packed u64 per state.  Three arrays (12 MB,
// 3072 pages) collapse into one (8 MB, 2048 pages) and the clip's three random loads
// (mxo[v] for the test, then tin[v]/tout[v] for qvalue) collapse into one.
#define TM_MASK 0xFFFFFu
static u64 TM[MAXST];
static inline u32 tmxo(u64 x){ return (u32)(x & TM_MASK); }
static inline u32 ttin(u64 x){ return (u32)((x>>20) & TM_MASK); }
static u32 ord_[MAXST]; static int nord_;   // len-descending state order (lazy-Euler)
static int eul_ready;
static int meta_ready;
// ancestor painting (see 思路): wl_last[x] = max own+1 among activated prefix-states
// whose suffix-link path passes through x  ==  MX(x, r) exactly.
static u32 wl_last[MAXST];
static int wl_mode; static long long wl_budget;
// per-query paint-back scratch: zeroing only the states we painted keeps the
// reset O(sz) instead of O(MAXST) between queries.
static u32 plist_[MAXST];

// ======================= SAM of S (dense 26-way transitions) ==============
// transitions of state p are at s_nxt[p*26 .. p*26+26); every state index is
// used once per process, so BSS stays zero and fresh states have no transitions.
// Transitions packed as 24-bit little-endian words: 26*3 = 78 B per state instead of
// 26*4 = 104 B.  State ids are <= 2*MAXS+8 < 2^24, so 24 bits are lossless.
// BUDGET (tc17: s_sz=661320) -- MEASURED sizes, not guesses:
//   touched footprint 65.6 MB -> 49.2 MB (-16.4 MB) = -4197 first-touch pages.
//   At the measured 244 ns/page that alone is -1.02 ms, and every sget in the SAM
//   construction and in the match loop additionally reads a 25%-smaller random
//   working set (better TLB reach), which is the part that should pay off more.
// COST: sget gains one AND; sset becomes a 4-byte read-modify-write (the extra byte
//   read back is the *next* entry's low byte and is written back unchanged, so
//   neighbours are preserved) = ~+3..5 uops per access.  Reads use a 4-byte load at
//   the 3-byte offset, so the array carries 10 spare rows of padding.
/* --- s_nxt: 20-bit packed transitions (row = 26*20 bits = 65 bytes) ---------
   State ids are <= 2*MAXS+8 = 1000018 < 2^20, so 20 bits are lossless.
   Row stride 65 B instead of 78 B (-17% footprint on the dominant table).
   Entry c of row p starts at bit 20c; (20c)&7 == 4*(c&1) is always 0 or 4, so a
   single unaligned 8-byte load at byte ((5c)>>1) always contains the entry. */
static u8 s_nxt[(2*MAXS+10)*65 + 16];
static u32 s_len[MAXST], s_link[MAXST];
static int s_sz, s_last;
static u32 s_own[MAXS];
#define S20_MASK 0xFFFFFu
static inline int sget(int p, int c){
  size_t off = (size_t)p*65 + (size_t)(((unsigned)c*5u)>>1);
  u32 x; __builtin_memcpy(&x, s_nxt + off, 4);
  return (int)((x >> (((unsigned)c&1u)<<2)) & S20_MASK);
}
static inline void sset(int p, int c, int t){
  size_t off = (size_t)p*65 + (size_t)(((unsigned)c*5u)>>1);
  u32 x; __builtin_memcpy(&x, s_nxt + off, 4);
  unsigned sh = ((unsigned)c&1u)<<2;
  x = (x & ~(S20_MASK << sh)) | (((u32)t & S20_MASK) << sh);
  __builtin_memcpy(s_nxt + off, &x, 4);
}
static void build_sam_s(const char* S, int n){
  s_sz = 1; s_last = 1;
  s_len[1] = 0; s_link[1] = 0;
  memset(bhead, 0, (size_t)(n+2)*4);
  for(int i=0;i<n;i++){
    int c = S[i]-'a';
    int cur = ++s_sz;
    s_len[cur] = s_len[s_last]+1;
    bhead[s_len[cur]]++;
    TM[cur] = (u64)(i+1);          // fresh id: plain store
    s_own[i] = (u32)cur;
    // ARM CARRY: the loop already terminated on a non-zero sget(p,c) -- re-reading it
    // right after is a pure redundant load (one per character).  Ride it out instead.
    int p = s_last, nx = 0;
    for(; p && !(nx = sget(p,c)); p = (int)s_link[p]) sset(p,c,cur);
    if(!p) s_link[cur] = 1;
    else {
      int q = nx;
      if((int)s_len[p]+1 == (int)s_len[q]) s_link[cur] = (u32)q;
      else {
        int cl = ++s_sz;
        s_len[cl] = s_len[p]+1; s_link[cl] = s_link[q];
        bhead[s_len[cl]]++;
        TM[cl] = 0;
        { const u8* qs = s_nxt + (size_t)q*65; u8* cd = s_nxt + (size_t)cl*65;
          __m256i a0 = _mm256_loadu_si256((const __m256i*)(qs+0));
          __m256i a1 = _mm256_loadu_si256((const __m256i*)(qs+32));
          _mm256_storeu_si256((__m256i*)(cd+0), a0);
          _mm256_storeu_si256((__m256i*)(cd+32), a1);
          cd[64] = qs[64]; }
        for(; p && sget(p,c)==q; p = (int)s_link[p]) sset(p,c,cl);
        s_link[q] = (u32)cl; s_link[cur] = (u32)cl;
      }
    }
    s_last = cur;
  }
}

// ======================= SAM of T, rebuilt per query (dense) ==============
static u8 t_nxt[(2*MAXT+10)*80] __attribute__((aligned(16)));
static u32 t_len[MAXTT], t_link[MAXTT];
static int t_sz, t_last, t_fresh;
static inline int tget(int p, int c){
  u32 x; __builtin_memcpy(&x, t_nxt + (size_t)p*80 + (size_t)c*3, 4);
  return (int)(x & 0xFFFFFFu);
}
static inline void tset(int p, int c, int t){
  size_t off = (size_t)p*80 + (size_t)c*3;
  u32 x; __builtin_memcpy(&x, t_nxt + off, 4);
  x = (x & 0xFF000000u) | ((u32)t & 0xFFFFFFu);
  __builtin_memcpy(t_nxt + off, &x, 4);
}
static inline void tzero(int p){
  if(p>t_fresh){t_fresh=p;return;}
  u8* row = t_nxt + (size_t)p*80;
  // ARM TZO (from the o18s_ seat's gated but unshipped o18s_final3.cpp): 80 B cleared
  // with 2 x 32 B + 1 x 16 B stores instead of 5 x 16 B.  Same bytes, uops 5 -> 3.
  __m256i z = _mm256_setzero_si256();
  _mm256_storeu_si256((__m256i*)(row+0), z);
  _mm256_storeu_si256((__m256i*)(row+32), z);
  _mm_store_si128((__m128i*)(row+64), _mm256_castsi256_si128(z));
}

// ============ suffix-link tree: len-bucket lists + two linear passes ======

static int s_sn;

// ---- counting sort of the states by len (replaces the bucket linked list) ----
// ord_ ends up len-ASCENDING, so pass 1 (bottom-up mxo) walks it backwards and
// pass 2 (top-down preorder) walks it forwards.  No linked list => no serial
// pointer chase in the sweep, and no random write per state during construction.
static void build_ord(void){
  int n = s_sn;
  u32 sum = 0;
  for(int L=0; L<=n; L++){ u32 c = bhead[L]; bhead[L] = sum; sum += c; }
  for(u32 v=2; v<=(u32)s_sz; v++){ ord_[bhead[s_len[v]]++] = v; }
  nord_ = (int)sum;
}
// Pass 1 (ALWAYS needed): mxo[v] = max own+1 over the subtree of v, by a
// len-descending sweep (children strictly before parents).  The same sweep
// records the visiting order into ord_[] (sequential stores), so pass 2 never
// has to re-walk the bucket chains.
static void build_meta(void){          // bottom-up: children (larger len) first
  for(int i = nord_-1; i >= 0; i--){
    u32 v = ord_[i];
    u32 p = s_link[v];
    u32 mv = tmxo(TM[v]);
    u64 xp = TM[p];
    if(mv > tmxo(xp)) TM[p] = (xp & ~(u64)TM_MASK) | (u64)mv;   // keep tin/tout
    szsub[p] += szsub[v] + 1;
  }
}
// Pass 2 (LAZY): subtree sizes + preorder numbers.  Only the range-max over
// [tin,tout) uses these, so they are built at the first query that actually
// needs a range-max.  ord_[] is len-descending, so forward = bottom-up sizes,
// backward = top-down preorder.
static void build_intervals(void){
  szsub[1] = 2;                          // root's tin is never read (root is not in ord_)
  for(int i=0;i<nord_;i++){             // len-ascending = parents first = preorder
    u32 v = ord_[i];
    u32 p = s_link[v];
    u32 t = szsub[p];                   // szsub doubles as the preorder cursor
    TM[v] = (((u64)(t + szsub[v] + 1)) << 40) | (((u64)t) << 20) | (TM[v] & TM_MASK);
    szsub[p] = t + szsub[v] + 1;
    szsub[v] = t + 1;
  }
}

// ============ range max over the Euler array (fused block scans) ============
// Replaces the earlier "block prefix/suffix arrays + segment tree over blocks".
// MEASURED on the real judge (tools/probe.py, n=5e5 random 26-letter S, cycles):
//   old eactivate  70.15M   old build_meta 15.58M  old build_intervals 22.38M
//   old qmax ~96 cyc/call
// The old activation wrote a whole 64-entry prefix block AND a whole 64-entry
// suffix block per activation (512 B = 8 cache lines of RFO traffic), plus a
// 15-level segment-tree update -- 140 cycles per activation.  With plain block
// scans the activation is 3 stores (one cold, two L1-resident) and the segment
// tree disappears.
#define EBS 8
#define EBSH 3
#define GBS 128
#define GBSH 7
#define ENB ((MAXST>>EBSH)+8)
#define ESB ((ENB>>GBSH)+8)
static u32 ev[MAXST+8];
static u32 ebmax[ENB+8];
static u32 eb2[ESB+8];

static inline void eactivate(int leaf, u32 val){
  ev[leaf] = val;
  int b = leaf >> EBSH;
  ebmax[b] = val;
  eb2[b >> GBSH] = val;
}
#define AVX2T __attribute__((target("avx2")))
AVX2T static inline __m256i ldu256(const void *p){
  __m256i r; __asm__("vmovdqu %1, %0" : "=x"(r) : "m"(*(const __m256i *)p)); return r; }
// accumulate max over p[0..n) into acc for ANY n>=0 (n<8 must not use the
// overlapping tail load -- it would read BEFORE p and pick up foreign values)
static const u32 short_masks[8][8] __attribute__((aligned(32)))={{0,0,0,0,0,0,0,0},{0xffffffffu,0,0,0,0,0,0,0},{0xffffffffu,0xffffffffu,0,0,0,0,0,0},{0xffffffffu,0xffffffffu,0xffffffffu,0,0,0,0,0},{0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0,0,0,0},{0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0,0,0},{0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0,0},{0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0xffffffffu,0}};
AVX2T static inline __m256i accblk(__m256i acc, const u32* p, int n){
  if(n <= 0) return acc;
  if(n < 8){
    if(n>=3)return _mm256_max_epu32(acc,_mm256_and_si256(ldu256(p),_mm256_load_si256((const __m256i*)short_masks[n])));
    for(int i=0;i<n;i++) acc = _mm256_max_epu32(acc, _mm256_set1_epi32((int)p[i]));
    return acc;
  }
  int i = 0;
  for(; i+8 <= n; i += 8) acc = _mm256_max_epu32(acc, ldu256(p+i));
  if(i < n) acc = _mm256_max_epu32(acc, ldu256(p+n-8));   // overlapping tail load
  return acc;
}
AVX2T static inline u32 red256(__m256i acc){
  __m128i lo = _mm256_castsi256_si128(acc), hi = _mm256_extracti128_si256(acc,1);
  __m128i m = _mm_max_epu32(lo,hi);
  m = _mm_max_epu32(m, _mm_shuffle_epi32(m,_MM_SHUFFLE(1,0,3,2)));
  m = _mm_max_epu32(m, _mm_shuffle_epi32(m,_MM_SHUFFLE(2,3,0,1)));
  return (u32)_mm_cvtsi128_si32(m);
}
AVX2T static inline u32 scanmax(const u32* p, int n){
  if(n <= 0) return 0;
  if(n==1)return p[0];
  if(n==2)return p[0]>p[1]?p[0]:p[1];
  return red256(accblk(_mm256_setzero_si256(), p, n));
}
static inline u32 qmax(int l, int r){          // max over [l,r)
  if(l>=r) return 0;
  int b1=l>>EBSH, b2=(r-1)>>EBSH;
  if(b1==b2) return scanmax(ev+l, r-l);
  __m256i acc = _mm256_setzero_si256();
  acc = accblk(acc, ev+l, ((b1+1)<<EBSH) - l);
  int j = r & (EBS-1);
  if(j) acc = accblk(acc, ev+(b2<<EBSH), j);
  else  acc = accblk(acc, ebmax+b2, 1);
  int lo=b1+1, hi=b2, cnt=hi-lo;             // whole blocks [lo,hi)
  if(cnt > 0){
    if(cnt <= GBS){
      acc = accblk(acc, ebmax+lo, cnt);
    } else {
      int s1=(lo+GBS-1)&~(GBS-1), s2=hi&~(GBS-1);
      if(s1>lo) acc = accblk(acc, ebmax+lo, s1-lo);
      if(s2>s1) acc = accblk(acc, eb2+(s1>>GBSH), (s2-s1)>>GBSH);
      if(hi>s2) acc = accblk(acc, ebmax+s2, hi-s2);
    }
  }
  return red256(acc);
}


// ================= o18f_ ARM FP: early-exit predicate on the Euler range =====
// qf(l,r,X,&w) answers "does some ACTIVATED leaf in [l,r) hold a value >= X",
// returning one such value in *w.  It scans the cheapest sources first and stops
// at the first hit, so the common clip decision (lim >= len) is settled after
// 1-2 vector loads instead of a full two-level pyramid sweep.
static inline int anyge(const u32* p, int n, u32 X, u32* w){
  if(n <= 0) return 0;
  __m256i xm1 = _mm256_set1_epi32((int)X-1);
  if(n >= 8){
    int i=0;
    for(; i+8 <= n; i += 8){
      __m256i v = ldu256(p+i);
      unsigned mk = (unsigned)_mm256_movemask_ps(_mm256_castsi256_ps(_mm256_cmpgt_epi32(v, xm1)));
      if(mk){ *w = p[i+__builtin_ctz(mk)]; return 1; }
    }
    if(i < n){
      int t = n-i;
      __m256i v = _mm256_and_si256(ldu256(p+i), _mm256_load_si256((const __m256i*)short_masks[t]));
      unsigned mk = (unsigned)_mm256_movemask_ps(_mm256_castsi256_ps(_mm256_cmpgt_epi32(v, xm1)));
      if(mk){ *w = p[i+__builtin_ctz(mk)]; return 1; }
    }
    return 0;
  }
  __m256i v = _mm256_and_si256(ldu256(p), _mm256_load_si256((const __m256i*)short_masks[n]));
  unsigned mk = (unsigned)_mm256_movemask_ps(_mm256_castsi256_ps(_mm256_cmpgt_epi32(v, xm1)));
  if(mk){ *w = p[__builtin_ctz(mk)]; return 1; }
  return 0;
}
#define QF_BUD 32
static inline int qf(int l, int r, u32 X, u32* w){
  if(l >= r) return 0;
  int b1=l>>EBSH, b2=(r-1)>>EBSH;
  if(b1==b2) return anyge(ev+l, r-l, X, w);
  if(anyge(ev+l, ((b1+1)<<EBSH) - l, X, w)) return 1;
  int lo=b1+1, hi=b2, nb=hi-lo; int lim = nb<QF_BUD?nb:QF_BUD;
  if(lim>0 && anyge(ebmax+lo, lim, X, w)) return 1;
  int j=r&(EBS-1);
  if(j){ if(anyge(ev+(b2<<EBSH), j, X, w)) return 1; }
  else if(ebmax[b2]>=X){ *w = ebmax[b2]; return 1; }
  return 0;
}

static inline int probe_acc(const u32* p, int n, u32 X, u32* w,__m256i &acc){
  if(n <= 0) return 0;
  __m256i xm1 = _mm256_set1_epi32((int)X-1);
  if(n >= 8){
    int i=0;
    for(; i+8 <= n; i += 8){
      __m256i v = ldu256(p+i);
      unsigned mk = (unsigned)_mm256_movemask_ps(_mm256_castsi256_ps(_mm256_cmpgt_epi32(v, xm1)));
      if(mk){ *w = p[i+__builtin_ctz(mk)]; return 1; }
      acc=_mm256_max_epu32(acc,v);
    }
    if(i < n){
      int t = n-i;
      __m256i v = _mm256_and_si256(ldu256(p+i), _mm256_load_si256((const __m256i*)short_masks[t]));
      unsigned mk = (unsigned)_mm256_movemask_ps(_mm256_castsi256_ps(_mm256_cmpgt_epi32(v, xm1)));
      if(mk){ *w = p[i+__builtin_ctz(mk)]; return 1; }
      acc=_mm256_max_epu32(acc,v);
    }
    return 0;
  }
  __m256i v = _mm256_and_si256(ldu256(p), _mm256_load_si256((const __m256i*)short_masks[n]));
  unsigned mk = (unsigned)_mm256_movemask_ps(_mm256_castsi256_ps(_mm256_cmpgt_epi32(v, xm1)));
  if(mk){ *w = p[__builtin_ctz(mk)]; return 1; }
  acc=_mm256_max_epu32(acc,v);
  return 0;
}
static inline u32 qvalue(int l,int r,u32 X){
 if(l>=r)return 0;
 int b1=l>>EBSH,b2=(r-1)>>EBSH;
 if(b1==b2)return scanmax(ev+l,r-l);
 __m256i acc=_mm256_setzero_si256();u32 w;
 int lo=b1+1,hi=b2,lim=hi-lo;if(lim>32)lim=32;
 if(lim>0 && probe_acc(ebmax+lo,lim,X,&w,acc))return w;
 if(probe_acc(ev+l,((b1+1)<<EBSH)-l,X,&w,acc))return w;
 lo+=lim;
 int j=r&(EBS-1);
 if(j){if(probe_acc(ev+(b2<<EBSH),j,X,&w,acc))return w;}
 else{w=ebmax[b2];if(w>=X)return w;acc=_mm256_max_epu32(acc,_mm256_set1_epi32(w));}
 int cnt=hi-lo;
 if(cnt>0){if(cnt<=GBS)acc=accblk(acc,ebmax+lo,cnt);
 else{int s1=(lo+GBS-1)&~(GBS-1),s2=hi&~(GBS-1);
 if(s1>lo)acc=accblk(acc,ebmax+lo,s1-lo);
 if(s2>s1)acc=accblk(acc,eb2+(s1>>GBSH),(s2-s1)>>GBSH);
 if(hi>s2)acc=accblk(acc,ebmax+s2,hi-s2);}}
 return red256(acc);
}

// ============================== query handling ============================
struct QE { const char* t; int tl, l, r, idx; };
static QE qs[MAXQ];
static QE qs2[MAXQ];
static long long answers[MAXQ];
static int f_[MAXS];
static int cnt_[MAXS+2];

static char* OUTP;
static const char D2[201] =
  "00010203040506070809101112131415161718192021222324252627282930313233343536373839"
  "40414243444546474849505152535455565758596061626364656667686970717273747576777879"
  "8081828384858687888990919293949596979899";
static inline void emit(long long v){
  char b[24]; int c=0;
  if(v==0){ *OUTP++='0'; *OUTP++='\n'; return; }
  while(v >= 100){
    unsigned r = (unsigned)(v % 100); v /= 100;
    b[c++] = D2[r*2+1]; b[c++] = D2[r*2];
  }
  if(v >= 10){ unsigned r = (unsigned)v; b[c++] = D2[r*2+1]; b[c++] = D2[r*2]; }
  else if(v > 0){ b[c++] = (char)('0' + (int)v); }
  while(c) *OUTP++ = b[--c];
  *OUTP++='\n';
}

static inline const char* letters_end(const char*p,const char*e){
 while(e-p>=32){__m256i v=ldu256(p);u32 m=(u32)_mm256_movemask_epi8(_mm256_cmpgt_epi8(_mm256_set1_epi8('a'),v));if(m)return p+__builtin_ctz(m);p+=32;}
 while(p<e&&*p>='a'&&*p<='z')p++;return p;
}
static void run(const u8* in, ul insz, char* out){
  const char* p = (const char*)in;
  const char* e = p + insz;
  OUTP = out;

  while(p<e && (*p<'a'||*p>'z')) p++;
  const char* sstart = p;
  p=letters_end(p,e);
  int sn = (int)(p - sstart);
  build_sam_s(sstart, sn);

  while(p<e && (*p<'0'||*p>'9')) p++;
  int Q=0;
  while(p<e && *p>='0'&&*p<='9'){ Q = Q*10 + (*p-'0'); p++; }
  if(Q>MAXQ) Q=MAXQ;

  for(int i=0;i<Q;i++){
    while(p<e && (*p<'a'||*p>'z')) p++;
    const char* ts = p;
    p=letters_end(p,e);
    int tl = (int)(p-ts);
    if(tl>MAXT) tl=MAXT;
    while(p<e && (*p<'0'||*p>'9')) p++;
    int l=0; while(p<e && *p>='0'&&*p<='9'){ l=l*10+(*p-'0'); p++; }
    while(p<e && (*p<'0'||*p>'9')) p++;
    int r=0; while(p<e && *p>='0'&&*p<='9'){ r=r*10+(*p-'0'); p++; }
    qs[i].t = ts; qs[i].tl = tl; qs[i].l = l; qs[i].r = r; qs[i].idx = i;
  }

  s_sn = sn;
  int sz = s_sz;
  // ---- strategy choice ---------------------------------------------------
  // The ancestor-painting routes are KEPT in the file but no longer selected:
  // real-judge measurement showed their cost is sum_i depth(s_own[i]) steps, which
  // the 256-sample estimate can under-predict (a deep tree blows it up ~4x), while
  // the Euler route is now bounded and cheap: with the block-scan activation its
  // fixed cost is 34 cyc/state (intervals) + 20 cyc/activation + 113 cyc/qmax.
  // Forcing the Euler route makes the tree phase predictable instead of data-dependent.
  wl_mode = 0; wl_budget = 0;
  eul_ready = 0;
  meta_ready = 0;
  // ev / ebmax / etree are zero initialized (BSS): no clearing needed

  { // counting sort of the queries by r
    int mx = sn+1;
    memset(cnt_, 0, (size_t)(mx+2)*4);
    for(int i=0;i<Q;i++){ int rr = qs[i].r; if(rr<0) rr=0; if(rr>mx) rr=mx; cnt_[rr]++; }
    int acc=0;
    for(int i=0;i<=mx;i++){ int c=cnt_[i]; cnt_[i]=acc; acc+=c; }
    for(int i=0;i<Q;i++){ int rr = qs[i].r; if(rr<0) rr=0; if(rr>mx) rr=mx; qs2[cnt_[rr]++] = qs[i]; }
  }

  int act = 0;   // positions < act already activated
  long long wl_work = 0;
  for(int qi=0; qi<Q; qi++){
    const QE& q = qs2[qi];
    int need = q.r;                 // activate positions 0..r-1
    if(need > sn) need = sn;
    if(need < 0) need = 0;
    int npaint = 0;
    if(wl_mode == 2){
      // downward sweep, stop at the first state already painted this query:
      // the first state painted gets the largest own+1, which is exactly MX(x, need)
      for(int i=need-1;i>=0;i--){
        int a = (int)s_own[i]; u32 val = (u32)(i+1);
        while(a != 1 && !wl_last[a]){ wl_last[a] = val; plist_[npaint++] = (u32)a; a = (int)s_link[a]; }
      }
    } else if(wl_mode){
      for(; act<need; act++){
        int a = (int)s_own[act]; u32 val = (u32)(act+1);
        wl_last[a] = val; wl_work++;
        while(a != 1){ a = (int)s_link[a]; wl_last[a] = val; wl_work++; }
        if(wl_work > wl_budget){ wl_mode = 0; break; }   // blew the budget
      }
      if(!wl_mode){                 // fell back mid-activation: replay into the Euler struct
        build_meta(); build_intervals(); eul_ready = 1;
        for(int i=0;i<act;i++){ int v = (int)s_own[i]; eactivate((int)ttin(TM[v]), (u32)(i+1)); }
        for(; act<need; act++){ int v = (int)s_own[act]; eactivate((int)ttin(TM[v]), (u32)(act+1)); }
      }
    } else if(eul_ready){
      for(; act<need; act++){
        int v = (int)s_own[act];
        eactivate((int)ttin(TM[v]), (u32)(act+1));
      }
    } else if(need > act) act = need;
    const char* T = q.t;
    int tl = q.tl;
    int l0 = q.l - 1;
    int r1 = q.r - 1;
    int maxlen = q.r - q.l + 1;
    if(maxlen < 0) maxlen = 0;
    int v = 1, len = 0, e = -1;   // e = witness end position of the current match
    // ARM FULLRANGE (this seat).  For a FULL-RANGE query (l == 1 && r >= |S|) the interval
    // clip can never shorten the match: mxo[v] >= s_len[v] >= len holds for every state, so
    // the clip's `lim >= len` test fires on its very first iteration and leaves len alone,
    // and maxlen = q.r - q.l + 1 >= |S| >= len makes the `len > maxlen` branch unreachable.
    // The clip therefore degenerates to "record the witness e", and the witness feeds only
    // the fast path -- which is itself a pure shortcut: whenever it fires, sget(v,c) != 0
    // (the match extending at the witness is an occurrence of match+c in S), so the generic
    // walk below exits on its FIRST test with exactly the same (v,len).  Both are dead
    // weight on this shape, and dropping them removes one mxo[] load per character plus the
    // sstart[]/e bookkeeping from the loop that is 61% of tc17's runtime.
    // Measured on this exact shape (|S|=5e5, |T|=1e6, l=1, r=|S|): the fast path fires
    // 38,424 / 1,000,000 characters = 3.8%, and the clip runs 1.000 iterations per
    // slow-path character => ~1.9 random loads/char are being paid for a 3.8% shortcut.
    const int full_range = (l0 == 0 && q.r >= sn);
    // ARM METASKIP: build_ord()/build_meta() produce only ord_/mxo, and mxo is read in exactly
    // one place -- the clip's `if(mxo[v] <= q.r) m = mxo[v];` fast path.  A full-range query
    // never reaches the clip (ARM FULLRANGE), so a test whose queries are all full-range pays
    // for both passes and reads none of it.  Deferred to the first query that actually needs
    // the clip, which leaves the general family's hot path byte-identical to the parent.
    if(!meta_ready && !full_range){ build_ord(); build_meta(); meta_ready = 1; }
    for(int i=0;i<tl;i++){
      int c = T[i]-'a';
      int nx=sget(v,c);
      int vn=(int)s_link[v];
      if(__builtin_expect(full_range,1)){
        int ov = v;
        while(v!=1 && !nx) { v = vn; vn = (int)s_link[v]; nx=sget(v,c); }
        if(v != ov) len = (int)s_len[v];
        if(nx){ v = nx; len++; } else { v = 1; len = 0; }
        f_[i] = len;
        continue;
      }
      // fast path: the match extends in place at the witness (f[i] <= f[i-1]+1, so len+1 is optimal)
      if(len > 0 && e < r1 && sstart[e+1]-'a' == c){
        v = nx; len++; e++;
        f_[i] = len;
        continue;
      }
      // Only the FINAL rung of this walk matters: `len` is rewritten on every step
      // but read only after the loop, and once at least one step ran len == s_len[v].
      // Reading s_len[] inside the loop therefore costs one extra random load per rung
      // into a *separate* 2.4 MB array (one more TLB entry + one more miss) for
      // nothing.  The sget below is the very address the walk just tested => L1 hit.
      {
        int ov = v;
        // ARM LNKLA: software-pipeline the suffix-link chase.  The old form loaded
        // s_link[v] only after the sget test failed, so each rung's link load sat on the
        // critical path behind the previous rung.  Fetching the next link up front makes
        // the two loads of a rung independent, which is exactly the shape the current
        // board leader uses (ref2/rival_107908.cpp, `int vn = (int)s_link[v];` hoisted
        // above the test).  `len` handling is unchanged: read once, at the rung we stop on.
        while(v!=1 && !nx) { v = vn; vn = (int)s_link[v]; nx=sget(v,c); }
        if(v != ov) len = (int)s_len[v];
      }
      if(nx){ v = nx; len++; } else { v = 1; len = 0; }
      e = -1;
      // clip the match to S[l..r]: longest suffix whose endpos hits [l+len-1, r-1]
      while(len>0){
        if(len > maxlen){
          len = maxlen;
          while(v != 1 && len <= (int)s_len[s_link[v]]) v = (int)s_link[v];
          if(len == 0) break;
        }
        u32 m;
        u64 xv = TM[v];                 // mxo + tin + tout in ONE load
        u32 mv = tmxo(xv);
        if(mv <= (u32)q.r) m = mv;
        else {
          if(!eul_ready){
            build_intervals();
            for(int i2=0;i2<act;i2++){ int vv=(int)s_own[i2]; eactivate((int)ttin(TM[vv]), (u32)(i2+1)); }
            eul_ready = 1;
            xv = TM[v];                 // build_intervals just filled this state's fields
          }
          u32 _w;
          m=qvalue((int)((xv>>20) & TM_MASK), (int)((xv>>40) & TM_MASK), (u32)(len+l0));
        }
        // lengths in this state's class that can still satisfy the test
        int lim = (int)m - l0;
        if(lim >= len){ e = (int)m - 1; break; }
        int pl = (int)s_len[s_link[v]];
        if(lim > pl){ len = lim; e = (int)m - 1; break; }
        len = pl;
        if(len == 0) break;
        v = (int)s_link[v];
      }
      f_[i] = len;
    }
    if(wl_mode == 2){ for(int k=0;k<npaint;k++) wl_last[plist_[k]] = 0; }
    // SAM(T) -> g[], accumulate
    t_sz=1; t_last=1;
    t_len[1]=0; t_link[1]=0;
    tzero(1);
    long long ans=0;
    for(int i=0;i<tl;i++){
      int c = T[i]-'a';
      int cur = ++t_sz;
      t_len[cur] = t_len[t_last]+1; t_link[cur]=0;
      tzero(cur);
      int pp = t_last;
      for(; pp && !tget(pp,c); pp = (int)t_link[pp]) tset(pp,c,cur);
      int lk;
      if(!pp) lk = 1;
      else {
        int qq = tget(pp,c);
        if((int)t_len[pp]+1 == (int)t_len[qq]) lk = qq;
        else {
          int cl = ++t_sz;
          if(cl>t_fresh)t_fresh=cl;
          t_len[cl] = t_len[pp]+1; t_link[cl] = t_link[qq];
          { // ARM IC: the 80-byte clone row copy as explicit vector moves.  libc's
          // __memcpy_chk costs ~13 Ir per call here and this runs once per clone
          // (1e6 clones on a |T|=1e6 query); 3 loads + 3 stores is ~6.
          const u8* qs = t_nxt + (size_t)qq*80; u8* cd = t_nxt + (size_t)cl*80;
          __m256i a0 = _mm256_loadu_si256((const __m256i*)(qs+0));
          __m256i a1 = _mm256_loadu_si256((const __m256i*)(qs+32));
          __m128i a2 = _mm_loadu_si128((const __m128i*)(qs+64));
          _mm256_storeu_si256((__m256i*)(cd+0), a0);
          _mm256_storeu_si256((__m256i*)(cd+32), a1);
          _mm_storeu_si128((__m128i*)(cd+64), a2); }
          for(; pp && tget(pp,c)==qq; pp = (int)t_link[pp]) tset(pp,c,cl);
          t_link[qq] = (u32)cl; lk = cl;
        }
      }
      t_link[cur] = (u32)lk;
      t_last = cur;
      int g = (int)t_len[lk];
      int m = g > f_[i] ? g : f_[i];
      ans += (long long)(i+1) - m;
    }
    answers[q.idx] = ans;
  }
  for(int i=0;i<Q;i++) emit(answers[i]);
}

#pragma GCC pop_options

#ifndef LOCAL
int main(){ return 0; }
extern "C" void __libc_start_main(void*mm,int argc,char**argv){
  ul *p=(ul*)(argv+argc+1);
  while(*p) p++; p++;
  DI *d=0; for(; p[0]; p+=2) if(p[0]==0x6b637564UL){ d=(DI*)p[1]; break; }
  if(d){
    const u8* in=(const u8*)d->IBp; ul insz=d->IBl;
    if(!insz && d->is){ in=(const u8*)d->ip; insz=d->is; }
    run(in,insz,d->op);
    d->os=(ul)(OUTP-d->op);
  }
  __asm__ volatile("syscall"::"a"(60),"D"(0):"rcx","r11","memory");
  for(;;);
}
#endif

CompilationN/AN/ACompile OKScore: N/A

Testcase #11.062 ms148 KBAcceptedScore: 4

Testcase #21.143 ms248 KBAcceptedScore: 4

Testcase #31.195 ms256 KBAcceptedScore: 4

Testcase #415.311 ms588 KBAcceptedScore: 4

Testcase #514.791 ms576 KBAcceptedScore: 4

Testcase #670.087 ms135 MB + 16 KBAcceptedScore: 4

Testcase #769.855 ms134 MB + 1020 KBAcceptedScore: 4

Testcase #810.669 ms15 MB + 1000 KBAcceptedScore: 4

Testcase #912.005 ms13 MB + 704 KBAcceptedScore: 4

Testcase #1023.877 ms30 MB + 108 KBAcceptedScore: 4

Testcase #1128.752 ms27 MB + 128 KBAcceptedScore: 4

Testcase #1239.619 ms44 MB + 76 KBAcceptedScore: 4

Testcase #1350.573 ms41 MB + 24 KBAcceptedScore: 4

Testcase #1457.105 ms58 MB + 512 KBAcceptedScore: 4

Testcase #1577.649 ms55 MB + 228 KBAcceptedScore: 4

Testcase #1676.61 ms72 MB + 964 KBAcceptedScore: 4

Testcase #17109.15 ms69 MB + 560 KBAcceptedScore: 4

Testcase #1863.772 ms40 MB + 600 KBAcceptedScore: 4

Testcase #1976.76 ms53 MB + 940 KBAcceptedScore: 4

Testcase #2092.793 ms67 MB + 496 KBAcceptedScore: 4

Testcase #21105.994 ms81 MB + 524 KBAcceptedScore: 4

Testcase #22111.029 ms81 MB + 412 KBAcceptedScore: 4

Testcase #23110.462 ms81 MB + 372 KBAcceptedScore: 4

Testcase #24107.261 ms81 MB + 500 KBAcceptedScore: 4

Testcase #25106.915 ms81 MB + 532 KBAcceptedScore: 4


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