From 406a2f4d26f754ea78f233ff02f68f441dc21f45 Mon Sep 17 00:00:00 2001 From: "Moe Charm (CI)" Date: Wed, 10 Dec 2025 14:00:57 +0900 Subject: [PATCH] Incremental improvements: mid_desc cache, pool hotpath optimization, and doc updates MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit **Changes:** - core/box/pool_api.inc.h: Code organization and micro-optimizations - CURRENT_TASK.md: Updated Phase MD1 (mid_desc TLS cache: +3.2% for C6-heavy) - docs/analysis files: Various analysis and documentation updates - AGENTS.md: Agent role clarifications - TINY_FRONT_V3_FLATTENING_GUIDE.md: Flattening strategy documentation **Verification:** - random_mixed_hakmem: 44.8M ops/s (1M iterations, 400 working set) - No segfaults or assertions across all benchmark variants - Stable performance across multiple runs 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude Haiku 4.5 --- AGENTS.md | 3 ++ CURRENT_TASK.md | 11 ++++ core/box/pool_api.inc.h | 50 ++++++++++++++---- docs/analysis/ENV_PROFILE_PRESETS.md | 16 ++++++ .../MID_LARGE_CPU_HOTPATH_ANALYSIS.md | 9 ++++ .../TINY_CPU_HOTPATH_USERLAND_ANALYSIS.md | 16 ++++++ docs/design/TINY_FRONT_V3_FLATTENING_GUIDE.md | 4 ++ perf.data.mid_cache_on | Bin 0 -> 1887584 bytes perf.data.tiny_mixed_hf1 | Bin 0 -> 3243096 bytes 9 files changed, 100 insertions(+), 9 deletions(-) create mode 100644 perf.data.mid_cache_on create mode 100644 perf.data.tiny_mixed_hf1 diff --git a/AGENTS.md b/AGENTS.md index 048219da..f6b51e4b 100644 --- a/AGENTS.md +++ b/AGENTS.md @@ -58,6 +58,9 @@ - Fail-Fast - ENOMEM・整合性違反はマスクせず露出。フォールバックは“停止しないための最後の手段”に限定 +- 運用ルール(Pool flatten) + - Pool v1 flatten / Zero Mode は LEGACY mid/smallmid ベンチ専用の箱。C7_SAFE プロファイルでは flatten を触らない(安定性優先のため常時 OFF)。 + --- ## 実装規約(C向けの具体) diff --git a/CURRENT_TASK.md b/CURRENT_TASK.md index d122a627..435742b1 100644 --- a/CURRENT_TASK.md +++ b/CURRENT_TASK.md @@ -957,3 +957,14 @@ export HAKMEM_POOL_ZERO_MODE=header - **mid_desc_init_once()**: すべてのモードで初期化保証(クラッシュ防止) **所感**: mid_desc 初期化順序の修正は本線として常に有効。Flatten と Zero Mode は箱として組み込まれているが、デフォルト構成ではいずれも OFF。中規模 (100K) ワークロードで Combined が +8.8% 到達、1M 長尺で +2% 程度と、性能ではなく安全性が主要成果。 + +### Phase MD1: mid_desc_lookup TLS キャッシュ(mid/smallmid ベンチ専用) +- 目的: C6-heavy / mid/smallmid で目立つ `mid_desc_lookup` self% を TLS キャッシュで 1 回に抑える(サイズ変化で miss → 従来 path)。 +- ENV: `HAKMEM_MID_DESC_CACHE_ENABLED=1` で opt-in(デフォルト OFF、標準プロファイルは挙動不変)。 +- A/B: `HAKMEM_PROFILE=C6_HEAVY_LEGACY_POOLV1`, 1M/400, flatten OFF/zero full → OFF: 28.90M ops/s / ON: 29.83M ops/s(約 +3.2%)。C7_SAFE/Mixed は未確認(±数%以内を期待)。 + - Mixed 16–1024B (`HAKMEM_PROFILE=MIXED_TINYV3_C7_SAFE`, 1M/400): OFF 44.83M → ON 44.94M(+0.3% 以内、挙動変化なし)。標準 Mixed では推奨は据え置き(mid専用オプション扱い)。 + +### Phase TG2: tiny_alloc_gate_box 再構成(回帰で廃止) +- 内容: tiny_alloc_gate_box を LUT/route 先頭分岐に寄せる再構成+ malloc_tiny_fast_dispatch の分離を試験。 +- 結果: Mixed 16–1024B (MIXED_TINYV3_C7_SAFE, Release) で **約 -14%** (44.8M → 38.6M ops/s) の回帰。segv/assert は無し。 +- 対応: Phase TG2 変更は破棄済み(tiny_alloc_gate_box / malloc_tiny_fast を元の直線ロジックへ戻した)。今後は gate 全体を触らず、header / classify / ptr fast path など局所削減で攻める方針。 diff --git a/core/box/pool_api.inc.h b/core/box/pool_api.inc.h index af9645a8..ad42567a 100644 --- a/core/box/pool_api.inc.h +++ b/core/box/pool_api.inc.h @@ -6,6 +6,7 @@ #include "box/pool_hotbox_v2_box.h" #include "box/tiny_heap_env_box.h" // TinyHeap profile (C7_SAFE では flatten を無効化) #include "box/pool_zero_mode_box.h" // Pool zeroing policy (env cached) +#include // Pool v2 is experimental. Default OFF (use legacy v1 path). static inline int hak_pool_v2_enabled(void) { @@ -63,6 +64,37 @@ static inline int hak_pool_v1_flatten_stats_enabled(void) { return g; } +// Mid desc lookup TLS cache (mid bench opt-in; default OFF) +static inline int hak_mid_desc_cache_enabled(void) { + static int g = -1; + if (__builtin_expect(g == -1, 0)) { + const char* e = getenv("HAKMEM_MID_DESC_CACHE_ENABLED"); + g = (e && *e && *e != '0') ? 1 : 0; + } + return g; +} + +typedef struct MidDescCache { + void* last_page; + MidPageDesc* last_desc; +} MidDescCache; + +static __thread MidDescCache g_mid_desc_cache = {0}; + +static inline MidPageDesc* mid_desc_lookup_cached(void* addr) { + if (!hak_mid_desc_cache_enabled()) return mid_desc_lookup(addr); + void* page = (void*)((uintptr_t)addr & ~((uintptr_t)POOL_PAGE_SIZE - 1)); + if (g_mid_desc_cache.last_desc && g_mid_desc_cache.last_page == page) { + return g_mid_desc_cache.last_desc; + } + MidPageDesc* d = mid_desc_lookup(addr); + if (d) { + g_mid_desc_cache.last_page = page; + g_mid_desc_cache.last_desc = d; + } + return d; +} + typedef struct PoolV1FlattenStats { _Atomic uint64_t alloc_tls_hit; @@ -422,7 +454,7 @@ static inline void hak_pool_free_v2_impl(void* ptr, size_t size, uintptr_t site_ void* raw = (char*)ptr - HEADER_SIZE; AllocHeader* hdr = (AllocHeader*)raw; - MidPageDesc* d_desc = mid_desc_lookup(ptr); + MidPageDesc* d_desc = mid_desc_lookup_cached(ptr); int mid_by_desc = d_desc != NULL; if (!mid_by_desc && g_hdr_light_enabled < 2) { if (hdr->magic != HAKMEM_MAGIC) { MF2_ERROR_LOG("Invalid magic 0x%X in pool_free, expected 0x%X", hdr->magic, HAKMEM_MAGIC); return; } @@ -490,7 +522,7 @@ static inline void hak_pool_free_v2_impl(void* ptr, size_t size, uintptr_t site_ static inline int hak_pool_mid_lookup_v2_impl(void* ptr, size_t* out_size) { if (g_mf2_enabled) { MidPage* page = mf2_addr_to_page(ptr); if (page) { int c = (int)page->class_idx; if (c < 0 || c >= POOL_NUM_CLASSES) return 0; size_t sz = g_class_sizes[c]; if (sz == 0) return 0; if (out_size) *out_size = sz; return 1; } } - MidPageDesc* d = mid_desc_lookup(ptr); if (!d) return 0; int c = (int)d->class_idx; if (c < 0 || c >= POOL_NUM_CLASSES) return 0; size_t sz = g_class_sizes[c]; if (sz == 0) return 0; if (out_size) *out_size = sz; return 1; + MidPageDesc* d = mid_desc_lookup_cached(ptr); if (!d) return 0; int c = (int)d->class_idx; if (c < 0 || c >= POOL_NUM_CLASSES) return 0; size_t sz = g_class_sizes[c]; if (sz == 0) return 0; if (out_size) *out_size = sz; return 1; } static inline void hak_pool_free_fast_v2_impl(void* ptr, uintptr_t site_id) { @@ -499,7 +531,7 @@ static inline void hak_pool_free_fast_v2_impl(void* ptr, uintptr_t site_id) { MidPage* page = mf2_addr_to_page(ptr); if (page) { mf2_free(ptr); return; } } - MidPageDesc* d = mid_desc_lookup(ptr); + MidPageDesc* d = mid_desc_lookup_cached(ptr); if (!d) return; size_t sz = g_class_sizes[(int)d->class_idx]; if (sz == 0) return; @@ -803,7 +835,7 @@ static inline void hak_pool_free_v1_impl(void* ptr, size_t size, uintptr_t site_ void* raw = (char*)ptr - HEADER_SIZE; AllocHeader* hdr = (AllocHeader*)raw; - int mid_by_desc = 0; MidPageDesc* d_desc = mid_desc_lookup(ptr); + int mid_by_desc = 0; MidPageDesc* d_desc = mid_desc_lookup_cached(ptr); if (d_desc) mid_by_desc = 1; if (!mid_by_desc && g_hdr_light_enabled < 2) { if (hdr->magic != HAKMEM_MAGIC) { MF2_ERROR_LOG("Invalid magic 0x%X in pool_free, expected 0x%X", hdr->magic, HAKMEM_MAGIC); return; } @@ -814,7 +846,7 @@ static inline void hak_pool_free_v1_impl(void* ptr, size_t size, uintptr_t site_ PoolBlock* block = (PoolBlock*)raw; if (g_pool.tls_free_enabled) { int same_thread = 0; - if (g_hdr_light_enabled >= 1) { MidPageDesc* d = mid_desc_lookup(raw); if (d && d->owner_tid != 0 && d->owner_tid == (uint64_t)(uintptr_t)pthread_self()) { same_thread = 1; } } + if (g_hdr_light_enabled >= 1) { MidPageDesc* d = mid_desc_lookup_cached(raw); if (d && d->owner_tid != 0 && d->owner_tid == (uint64_t)(uintptr_t)pthread_self()) { same_thread = 1; } } else if (hdr->owner_tid != 0 && hdr->owner_tid == (uintptr_t)(uintptr_t)pthread_self()) { same_thread = 1; } if (same_thread) { PoolTLSRing* ring = &g_tls_bin[class_idx].ring; @@ -846,7 +878,7 @@ static inline void hak_pool_free_v1_impl(void* ptr, size_t size, uintptr_t site_ } } } else { - if (g_tc_enabled) { uint64_t owner_tid = 0; if (g_hdr_light_enabled < 2) owner_tid = hdr->owner_tid; if (owner_tid == 0) { MidPageDesc* d = mid_desc_lookup(raw); if (d) owner_tid = d->owner_tid; } if (owner_tid != 0) { MidTC* otc = mid_tc_lookup_by_tid(owner_tid); if (otc) { mid_tc_push(otc, class_idx, block); return; } } } + if (g_tc_enabled) { uint64_t owner_tid = 0; if (g_hdr_light_enabled < 2) owner_tid = hdr->owner_tid; if (owner_tid == 0) { MidPageDesc* d = mid_desc_lookup_cached(raw); if (d) owner_tid = d->owner_tid; } if (owner_tid != 0) { MidTC* otc = mid_tc_lookup_by_tid(owner_tid); if (otc) { mid_tc_push(otc, class_idx, block); return; } } } int shard = hak_pool_get_shard_index(site_id); uintptr_t old_head; HKM_TIME_START(t_remote_push2); do { old_head = atomic_load_explicit(&g_pool.remote_head[class_idx][shard], memory_order_acquire); block->next = (PoolBlock*)old_head; } while (!atomic_compare_exchange_weak_explicit(&g_pool.remote_head[class_idx][shard], &old_head, (uintptr_t)block, memory_order_release, memory_order_relaxed)); atomic_fetch_add_explicit(&g_pool.remote_count[class_idx][shard], 1, memory_order_relaxed); HKM_TIME_END(HKM_CAT_POOL_REMOTE_PUSH, t_remote_push2); set_nonempty_bit(class_idx, shard); @@ -898,7 +930,7 @@ static inline void hak_pool_free_v1_flat(void* ptr, size_t size, uintptr_t site_ if (!hak_pool_is_poolable(size)) return; void* raw = (char*)ptr - HEADER_SIZE; - MidPageDesc* d_desc = mid_desc_lookup(ptr); + MidPageDesc* d_desc = mid_desc_lookup_cached(ptr); if (!d_desc) { if (hak_pool_v1_flatten_stats_enabled()) { atomic_fetch_add_explicit(&g_pool_v1_flat_stats.free_fallback_v1, 1, memory_order_relaxed); @@ -965,7 +997,7 @@ static inline void hak_pool_free_v1_flat(void* ptr, size_t size, uintptr_t site_ static inline int hak_pool_mid_lookup_v1_impl(void* ptr, size_t* out_size) { if (g_mf2_enabled) { MidPage* page = mf2_addr_to_page(ptr); if (page) { int c = (int)page->class_idx; if (c < 0 || c >= POOL_NUM_CLASSES) return 0; size_t sz = g_class_sizes[c]; if (sz == 0) return 0; if (out_size) *out_size = sz; return 1; } } - MidPageDesc* d = mid_desc_lookup(ptr); if (!d) return 0; int c = (int)d->class_idx; if (c < 0 || c >= POOL_NUM_CLASSES) return 0; size_t sz = g_class_sizes[c]; if (sz == 0) return 0; if (out_size) *out_size = sz; return 1; + MidPageDesc* d = mid_desc_lookup_cached(ptr); if (!d) return 0; int c = (int)d->class_idx; if (c < 0 || c >= POOL_NUM_CLASSES) return 0; size_t sz = g_class_sizes[c]; if (sz == 0) return 0; if (out_size) *out_size = sz; return 1; } static inline void hak_pool_free_fast_v1_impl(void* ptr, uintptr_t site_id) { @@ -974,7 +1006,7 @@ static inline void hak_pool_free_fast_v1_impl(void* ptr, uintptr_t site_id) { MidPage* page = mf2_addr_to_page(ptr); if (page) { mf2_free(ptr); return; } } - MidPageDesc* d = mid_desc_lookup(ptr); + MidPageDesc* d = mid_desc_lookup_cached(ptr); if (!d) return; size_t sz = g_class_sizes[(int)d->class_idx]; if (sz == 0) return; diff --git a/docs/analysis/ENV_PROFILE_PRESETS.md b/docs/analysis/ENV_PROFILE_PRESETS.md index f4c5d438..ada70dba 100644 --- a/docs/analysis/ENV_PROFILE_PRESETS.md +++ b/docs/analysis/ENV_PROFILE_PRESETS.md @@ -64,6 +64,7 @@ HAKMEM_SMALL_HEAP_V3_CLASSES=0x80 # C7-only v3, C6 v3 は OFF HAKMEM_POOL_V2_ENABLED=0 HAKMEM_POOL_V1_FLATTEN_ENABLED=0 # flatten は初回 OFF ``` +- mid_desc_lookup TLS キャッシュを試すときだけ: `HAKMEM_MID_DESC_CACHE_ENABLED=1` を上乗せ(デフォルトは OFF)。 ### Pool v1 flatten A/B 用(LEGACY 専用) ```sh @@ -72,6 +73,21 @@ HAKMEM_TINY_HEAP_PROFILE=LEGACY HAKMEM_POOL_V2_ENABLED=0 HAKMEM_POOL_V1_FLATTEN_ENABLED=1 HAKMEM_POOL_V1_FLATTEN_STATS=1 + +## Profile 2b: C6_HEAVY_LEGACY_POOLV1_FLATTEN(mid/smallmid LEGACY flatten ベンチ専用) + +### 目的 +- LEGACY プロファイルで mid/smallmid の flatten + header-only zero をまとめて opt-in するベンチ専用セット。 +- C7_SAFE では使わないこと(安定性優先のため C7_SAFE は flatten 常時 OFF)。 + +### ENV(ベンチ専用) +```sh +HAKMEM_PROFILE=C6_HEAVY_LEGACY_POOLV1 # base を流用 +HAKMEM_POOL_V1_FLATTEN_ENABLED=1 +HAKMEM_POOL_ZERO_MODE=header +HAKMEM_POOL_V1_FLATTEN_STATS=1 +``` +※ LEGACY 専用。C7_SAFE / C7_ULTRA_BENCH ではこのプリセットを使用しないこと。 ``` - flatten は LEGACY 専用。C7_SAFE / C7_ULTRA_BENCH ではコード側で強制 OFF になる前提。 diff --git a/docs/analysis/MID_LARGE_CPU_HOTPATH_ANALYSIS.md b/docs/analysis/MID_LARGE_CPU_HOTPATH_ANALYSIS.md index e8e13bd3..fd2c6c0b 100644 --- a/docs/analysis/MID_LARGE_CPU_HOTPATH_ANALYSIS.md +++ b/docs/analysis/MID_LARGE_CPU_HOTPATH_ANALYSIS.md @@ -38,6 +38,15 @@ - perf stat(同条件 1M/400): cycles=225,766,496、instructions=528,335,613、task-clock=57.88ms、ops/s≈25.7M。 - 所感: fast-path整理だけでは効果薄く、むしろ低下。pool 内の memset/desc まわりやリング補充順序をより大胆に削らないと改善しない。次のステップとして追加の枝削減・キャッシュ導入を検討。 +## Phase MD1(mid_desc_lookup TLS キャッシュ) +- 目的: C6-heavy/mid で目立つ mid_desc_lookup を TLS 1 エントリでキャッシュし、サイズが同じリクエストが続くケースで self% を削る。 +- ENV ゲート: `HAKMEM_MID_DESC_CACHE_ENABLED=1`(デフォルト OFF)。miss 時は従来の `mid_desc_lookup` にフォールバック。 +- baseline self%: mid_desc_lookup≈3.8%(Phase54 perf, C7_SAFE)。 +- A/B(C6_HEAVY_LEGACY_POOLV1, 1M/400, flatten OFF, zero=full): + - cache OFF: 28.90M ops/s + - cache ON : 29.83M ops/s(**+3.2%**)segv/assert なし。 +- Mixed 16–1024B (C7_SAFE front v3/LUT/fast classify ON): cache OFF 44.83M → ON 44.94M(+0.3%)。perf (cycles:u, release) では mid_desc_lookup は上位に出ず、self% 影響はごく小さい。 + ## Phase57 回帰トリアージ(pool v2 をゲート化) - 変更: `HAKMEM_POOL_V2_ENABLED` を追加し、v1/v2 の pool 実装を env で切替。細分スイッチとして `HAKMEM_POOL_V2_BLOCK_TO_USER` / `HAKMEM_POOL_V2_TLS_FAST_PATH` を用意(デフォルト ON, v2 時のみ有効)。 - ベンチ(C6-heavy, 1M/400, Release): diff --git a/docs/analysis/TINY_CPU_HOTPATH_USERLAND_ANALYSIS.md b/docs/analysis/TINY_CPU_HOTPATH_USERLAND_ANALYSIS.md index ab0a92bd..c30465d1 100644 --- a/docs/analysis/TINY_CPU_HOTPATH_USERLAND_ANALYSIS.md +++ b/docs/analysis/TINY_CPU_HOTPATH_USERLAND_ANALYSIS.md @@ -78,6 +78,22 @@ Throughput: **12.39M ops/s**(DEBUG/-O0 相当) - そのほか: free/malloc/main が約 30% 強、header write 系は今回のデバッグログに埋もれて確認できず。 所感: + +## Phase HF1(DEBUG, front v3+LUT+fast classify+mid_desc_cache ON) +- ビルド: `CFLAGS='-O0 -g' USE_LTO=0 OPT_LEVEL=0 NATIVE=0` +- ENV: `HAKMEM_PROFILE=MIXED_TINYV3_C7_SAFE`, `HAKMEM_MID_DESC_CACHE_ENABLED=1` +- コマンド: `perf record -F 5000 --call-graph dwarf -e cycles:u -o perf.data.tiny_mixed_hf1 ./bench_random_mixed_hakmem 1000000 400 1` +- self% 上位(perf_tiny_mixed_hf1.txt 抜粋): + - tiny_alloc_gate_fast 16.85% + - free 13.63% / malloc 13.34% / main 9.02%(ベンチ枠) + - __memset_avx2_unaligned_erms 5.65%(初期化) + - hak_super_registry_init 5.57%(初期化) + - so_alloc_fast 2.41%, unified_cache_push 2.23% + - tiny_front_v3_enabled 2.23%, tiny_front_v3_lut_lookup 2.21% + - smallobject_hotbox_v3_can_own_c7 1.94% + - tiny_region_id_write_header 1.82% + - ss_map_lookup 1.61%, mid_desc_lookup_cached 0.98%, classify_ptr 0.65% +所感: TF3 + mid_desc_cache 適用後、ss_map_lookup/self% は 1.6% まで沈み、tiny_region_id_write_header が引き続き ~1.8% で上位。次の削り候補は header 書き込み回数削減 or front前段の小枝刈り。 - front v3 + LUT ON でも free 側の `ss_map_lookup` / `hak_super_lookup` が ~11% 程度残っており、ここを FAST classify で直叩きする余地が大きい。 - `classify_ptr` は 1% 未満だが、`ss_map_lookup` とセットで落とせれば +5〜10% の目標に寄せられる見込み。 diff --git a/docs/design/TINY_FRONT_V3_FLATTENING_GUIDE.md b/docs/design/TINY_FRONT_V3_FLATTENING_GUIDE.md index 52551f2b..08b0b268 100644 --- a/docs/design/TINY_FRONT_V3_FLATTENING_GUIDE.md +++ b/docs/design/TINY_FRONT_V3_FLATTENING_GUIDE.md @@ -114,3 +114,7 @@ Mixed 16–1024B で C7 v3 を ON にしたときの前段ホットパスを薄 - OFF: 33.9M ops/s → ON: 36.7M ops/s(約 +8.1%)。 - DEBUG perf (cycles@5k, dwarf, gate=1): `ss_map_lookup` self が 7.3% → 0.9%、`hak_super_lookup` はトップ外へ。TLS 走査 (`smallobject_hotbox_v3_can_own_c7`) が ~5.5% に現れるが lookup 往復より低コスト。 - ロールアウト案: Mixed 基準でプラスが安定しているため、front v3/LUT ON 前提では fast classify もデフォルトON候補。ENV=0 で即オフに戻せる構造は維持。 + +## メモ: gate 大規模再構成(TG2)は回帰で撤退 +- tiny_alloc_gate_box を「size→class→route 判定を前段に集約」する形に再構成し、malloc_tiny_fast_dispatch を導入したが、Mixed 16–1024B (MIXED_TINYV3_C7_SAFE, Release) で **約 -14%** の回帰を確認。 +- 変更は破棄し、gate は従来の薄いラッパに戻した。今後は gate 全体をいじらず、ヘッダ書き込み削減・ptr classify・header/route snapshot 等の局所的枝刈りで進める。 diff --git a/perf.data.mid_cache_on b/perf.data.mid_cache_on new file mode 100644 index 0000000000000000000000000000000000000000..a986bd1ccba377388f1ec21856ec07bf7c271eb9 GIT binary patch literal 1887584 zcmeF43wTu3x&9a77DZ*Otp;yQ5G`sUQ7MFqun{5anTS9(+6&Jhj!oX!GA|ecwBoy=R781g-5m z&y#$6-Piu@z1Pg%>)qcfE1q%Q)ak`%&NK2^t9ExN9P1?!^X@%fQ-bE*>p%PTU`#M{ z_6Dh7tlD$bj#E2ct*3T^+H=)TR69v+vD)+0PF6cb?NqfTYHe>;rF3c4Q4%QluGo)j zTJ`8>DpRs$-E1G&E@{!MSu!Sob4*h&aJI+{*6_(MoaoujV?Xxj4g1>LwGmD9jUEP5 z?4lw$5lsT$j-0Z!^0t9)1Kd#_7U?)1Ia&cM(s7)6YdS2_as2vdIxNz0T>EM|EYfkj z`)N8X(s3U2*K}B<99!0`Fez=!y+B$u^dffV39u6l^d2kKM=3gB~6LjiWoV*1I>{xJjIyHK9TTGw|3*7 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