Add files using upload-large-folder tool

alibaba_ifashion/maxembed_paper_scale/logs/convert_bin.log

@@ -0,0 +1,8 @@
+[Pass 1] scanning /home/sadoo/Projects/kvcache/research_data/processed/alibaba_ifashion/ifashion_user_session_remapped.txt
+  n=999,000  c=2,176,374  pins=23,937,069  elapsed=13.5s
+[Pass 2] writing /home/sadoo/Projects/kvcache/research_data/processed/alibaba_ifashion/maxembed_paper_scale/ifashion.bin
+  200,000/999,000  pins=4,795,064  elapsed=6.0s
+  400,000/999,000  pins=9,581,629  elapsed=9.6s
+  600,000/999,000  pins=14,372,135  elapsed=13.2s
+  800,000/999,000  pins=19,166,347  elapsed=16.8s
+wrote /home/sadoo/Projects/kvcache/research_data/processed/alibaba_ifashion/maxembed_paper_scale/ifashion.bin  size=103.7 MB  elapsed=34.1s

alibaba_ifashion/maxembed_paper_scale/logs/partition.log

@@ -0,0 +1,5 @@
+Read Time: 90 ms
+part_cnt: 136024
+Partition Time: 30621 ms
+Time: 30755 ms
+EXIT:0

alibaba_ifashion/maxembed_paper_scale/logs/partition_done.txt

@@ -0,0 +1 @@
+Sun Apr 19 08:17:15 PM CST 2026

alibaba_ifashion/maxembed_paper_scale/logs/replication.log

@@ -0,0 +1,45 @@
+=== rep=0 start 2026-04-19T20:17:26+08:00 ===
+before get_node2edge
+Time 1: 481 ms
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+c 2176374
+Time 2: 73 ms
+before rep
+=== rep=0 done exit=0 2026-04-19T20:17:27+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 26116504 Apr 19 20:17 ifashion_replicated_r0.bin
+=== rep=0.1 start 2026-04-19T20:17:27+08:00 ===
+before get_node2edge
+Time 1: 605 ms
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+c 2176374
+Time 2: 1584 ms
+before rep
+=== rep=0.1 done exit=0 2026-04-19T20:17:31+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 26987096 Apr 19 20:17 ifashion_replicated_r0.1.bin
+=== rep=0.2 start 2026-04-19T20:17:31+08:00 ===
+before get_node2edge
+Time 1: 399 ms
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+c 2176374
+Time 2: 1802 ms
+before rep
+=== rep=0.2 done exit=0 2026-04-19T20:17:34+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 27857624 Apr 19 20:17 ifashion_replicated_r0.2.bin
+=== rep=0.4 start 2026-04-19T20:17:34+08:00 ===
+before get_node2edge
+Time 1: 438 ms
+before rep_info
+c 2176374
+Time 2: 3011 ms
+before rep
+=== rep=0.4 done exit=0 2026-04-19T20:17:39+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 29598744 Apr 19 20:17 ifashion_replicated_r0.4.bin
+=== rep=0.8 start 2026-04-19T20:17:39+08:00 ===
+before get_node2edge
+Time 1: 461 ms
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+c 2176374
+Time 2: 2904 ms
+before rep
+=== rep=0.8 done exit=0 2026-04-19T20:17:44+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 33080920 Apr 19 20:17 ifashion_replicated_r0.8.bin

alibaba_ifashion/maxembed_paper_scale/logs/replication_done.txt

@@ -0,0 +1 @@
+Sun Apr 19 08:17:44 PM CST 2026

alibaba_ifashion/maxembed_paper_scale/logs/start_time.txt

@@ -0,0 +1 @@
+Sun Apr 19 08:16:44 PM CST 2026

criteo_kaggle/maxembed_paper_scale/criteo_raw_meta_1M.json

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criteo_kaggle/maxembed_paper_scale/criteo_raw_meta_fixed.json

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criteo_kaggle/maxembed_paper_scale/criteo_raw_meta_fixed_descfreq.json

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criteo_kaggle/maxembed_paper_scale/criteo_raw_meta_full.json

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criteo_kaggle/maxembed_paper_scale/partition_log.txt

@@ -0,0 +1,4 @@
+Read Time: 2182 ms
+part_cnt: 1377243
+Partition Time: 38842 ms
+Time: 41214 ms

gowalla/maxembed_paper_scale/logs/partition.log

@@ -0,0 +1,4 @@
+Read Time: 19 ms
+part_cnt: 79917
+Partition Time: 10888 ms
+Time: 10919 ms

gowalla/maxembed_paper_scale/logs/replication.log

@@ -0,0 +1,40 @@
+=== rep=0 start 2026-04-19T20:32:07+08:00 ===
+before get_node2edge
+Time 1: 217 ms
+before rep_info
+c 1278671
+Time 2: 29 ms
+before rep
+=== rep=0 done exit=0 2026-04-19T20:32:07+08:00 ===
+=== rep=0.1 start 2026-04-19T20:32:07+08:00 ===
+before get_node2edge
+Time 1: 211 ms
+before rep_info
+c 1278671
+Time 2: 1521 ms
+before rep
+=== rep=0.1 done exit=0 2026-04-19T20:32:10+08:00 ===
+=== rep=0.2 start 2026-04-19T20:32:10+08:00 ===
+before get_node2edge
+Time 1: 247 ms
+before rep_info
+c 1278671
+Time 2: 1918 ms
+before rep
+=== rep=0.2 done exit=0 2026-04-19T20:32:12+08:00 ===
+=== rep=0.4 start 2026-04-19T20:32:12+08:00 ===
+before get_node2edge
+Time 1: 211 ms
+before rep_info
+c 1278671
+Time 2: 2376 ms
+before rep
+=== rep=0.4 done exit=0 2026-04-19T20:32:15+08:00 ===
+=== rep=0.8 start 2026-04-19T20:32:15+08:00 ===
+before get_node2edge
+Time 1: 211 ms
+before rep_info
+c 1278671
+Time 2: 3470 ms
+before rep
+=== rep=0.8 done exit=0 2026-04-19T20:32:20+08:00 ===

gowalla/maxembed_paper_scale/logs/stage1.log

@@ -0,0 +1,13 @@
+=== Stage 1: gowalla ===
+  source: /home/sadoo/Projects/kvcache/research_data/raw/gowalla/loc-gowalla_totalCheckins.txt
+    gowalla rows=1,000,000 users=3,979  elapsed=2s
+    gowalla rows=2,000,000 users=12,364  elapsed=4s
+    gowalla rows=3,000,000 users=25,647  elapsed=7s
+    gowalla rows=4,000,000 users=42,896  elapsed=9s
+    gowalla rows=5,000,000 users=63,948  elapsed=10s
+    gowalla rows=6,000,000 users=88,163  elapsed=11s
+  users/sessions: 107,092
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/gowalla/gowalla_session.tsv
+  sessions: 98,176
+  skipped (len<2): 8,916
+  unique items: 1,278,671

gowalla/maxembed_paper_scale/logs/stage2.log

@@ -0,0 +1,6 @@
+[Pass 1] Scanning items in /home/sadoo/Projects/kvcache/research_data/processed/gowalla/gowalla_session.tsv
+  lines: 98,176
+  unique items: 1,278,671
+  mapping: /home/sadoo/Projects/kvcache/research_data/processed/gowalla/gowalla_item_mapping.tsv
+[Pass 2] Writing /home/sadoo/Projects/kvcache/research_data/processed/gowalla/gowalla_session_remapped.txt
+  done

gowalla/maxembed_paper_scale/logs/stage3.log

@@ -0,0 +1,8 @@
+[Pass 1/2] Scan /home/sadoo/Projects/kvcache/research_data/processed/gowalla/gowalla_session_remapped.txt
+  batches: 98,176
+  num_rows (vocab): 1,278,671
+  total_accesses: 3,972,418
+  avg_query_len: 40.46
+[Pass 2/2] Writing /home/sadoo/Projects/kvcache/research_data/traces/gowalla/gowalla_paper_scale/inference_trace.csv
+  trace: /home/sadoo/Projects/kvcache/research_data/traces/gowalla/gowalla_paper_scale/inference_trace.csv
+  meta:  /home/sadoo/Projects/kvcache/research_data/traces/gowalla/gowalla_paper_scale/inference_metadata.json

gowalla/maxembed_paper_scale/logs/stage4.log

@@ -0,0 +1,4 @@
+[Pass 1] scanning /home/sadoo/Projects/kvcache/research_data/processed/gowalla/gowalla_session_remapped.txt
+  n=98,176  c=1,278,671  pins=3,972,418  elapsed=1.6s
+[Pass 2] writing /home/sadoo/Projects/kvcache/research_data/processed/gowalla/maxembed_paper_scale/gowalla.bin
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/gowalla/maxembed_paper_scale/gowalla.bin  size=16.7 MB  elapsed=1.8s

gowalla/maxembed_paper_scale/logs/stage7.log

@@ -0,0 +1,15 @@
+num_rows=1,278,671  kpp=16
+Generating sequential_remap.json (N=1,278,671)
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/gowalla/cylon_remaps/sequential_remap.json (10.4 MB)  pages=79,917
+Parsing MaxEmbed mapping.bin from /home/sadoo/Projects/kvcache/research_data/processed/gowalla/maxembed_paper_scale/gowalla_mapping.bin
+  file size: 15.3 MB
+  c=1,278,671  total=1,278,671
+  total_pages (max_part+1): 79,917
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/gowalla/cylon_remaps/maxembed_remap.json (10.4 MB)
+Generating seedexpand_remap.json (N=1,278,671, cap=5000)
+  [Pass 1] Count frequencies
+  top-freq candidate set: 5,000
+  [Pass 2] Build co-access graph for candidates
+  adj graph size: 5,000
+  [Pass 3] Seed-expand packing
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/gowalla/cylon_remaps/seedexpand_remap.json (10.4 MB)  total_pages=79,917  elapsed=22.4s

lastfm_1k/maxembed_paper_scale/logs/partition.log

@@ -0,0 +1,4 @@
+Read Time: 23 ms
+part_cnt: 78856
+Partition Time: 32452 ms
+Time: 32484 ms

lastfm_1k/maxembed_paper_scale/logs/partition_done.txt

@@ -0,0 +1 @@
+done

lastfm_1k/maxembed_paper_scale/logs/replication.log

@@ -0,0 +1,46 @@
+=== replication log ===
+=== rep=0 start 2026-04-19T20:47:25+08:00 ===
+before get_node2edge
+Time 1: 179 ms
+before rep_info
+c 1261693
+Time 2: 37 ms
+before rep
+=== rep=0 done exit=0 2026-04-19T20:47:26+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 15140332 Apr 19 20:47 /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k_replicated_r0.bin
+=== rep=0.1 start 2026-04-19T20:47:26+08:00 ===
+before get_node2edge
+Time 1: 170 ms
+before rep_info
+c 1261693
+Time 2: 177199 ms
+before rep
+=== rep=0.1 done exit=0 2026-04-19T20:50:27+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 15645036 Apr 19 20:50 /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k_replicated_r0.1.bin
+=== rep=0.2 start 2026-04-19T20:50:27+08:00 ===
+before get_node2edge
+Time 1: 692 ms
+before rep_info
+c 1261693
+Time 2: 177244 ms
+before rep
+=== rep=0.2 done exit=0 2026-04-19T20:53:27+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 16149740 Apr 19 20:53 /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k_replicated_r0.2.bin
+=== rep=0.4 start 2026-04-19T20:53:27+08:00 ===
+before get_node2edge
+Time 1: 175 ms
+before rep_info
+c 1261693
+Time 2: 251996 ms
+before rep
+=== rep=0.4 done exit=0 2026-04-19T20:57:41+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 17159084 Apr 19 20:57 /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k_replicated_r0.4.bin
+=== rep=0.8 start 2026-04-19T20:57:41+08:00 ===
+before get_node2edge
+Time 1: 164 ms
+before rep_info
+c 1261693
+Time 2: 351472 ms
+before rep
+=== rep=0.8 done exit=0 2026-04-19T21:03:35+08:00 ===
+-rw-rw-r-- 1 sadoo sadoo 19177772 Apr 19 21:03 /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k_replicated_r0.8.bin

lastfm_1k/maxembed_paper_scale/logs/replication_done.txt

@@ -0,0 +1 @@
+done

lastfm_1k/maxembed_paper_scale/logs/stage1.log

@@ -0,0 +1,8 @@
+=== Stage 1: lastfm_1k ===
+  source: /home/sadoo/Projects/kvcache/research_data/raw/lastfm_1k/userid-timestamp-artid-artname-traid-traname.tsv
+    lastfm skipped malformed/empty: 0
+  users: 992
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/lastfm_1k_session.tsv
+  sessions: 992
+  skipped (len<2): 0
+  unique items: 1,417,794

lastfm_1k/maxembed_paper_scale/logs/stage2.log

@@ -0,0 +1,6 @@
+[Pass 1] Scanning items in /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/lastfm_1k_session.tsv
+  lines: 992
+  unique items: 1,261,693
+  mapping: /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/lastfm_1k_session_mapping.txt
+[Pass 2] Writing /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/lastfm_1k_session_remapped.txt
+  done

lastfm_1k/maxembed_paper_scale/logs/stage3.log

@@ -0,0 +1,8 @@
+[Pass 1/2] Scan /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/lastfm_1k_session_remapped.txt
+  batches: 992
+  num_rows (vocab): 1,261,693
+  total_accesses: 6,341,262
+  avg_query_len: 6392.40
+[Pass 2/2] Writing /home/sadoo/Projects/kvcache/research_data/traces/lastfm_1k/lastfm_1k_paper_scale/inference_trace.csv
+  trace: /home/sadoo/Projects/kvcache/research_data/traces/lastfm_1k/lastfm_1k_paper_scale/inference_trace.csv
+  meta:  /home/sadoo/Projects/kvcache/research_data/traces/lastfm_1k/lastfm_1k_paper_scale/inference_metadata.json

lastfm_1k/maxembed_paper_scale/logs/stage4.log

@@ -0,0 +1,4 @@
+[Pass 1] scanning /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/lastfm_1k_session_remapped.txt
+  n=992  c=1,261,693  pins=5,255,045  elapsed=5.2s
+[Pass 2] writing /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k.bin
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/maxembed_paper_scale/lastfm_1k.bin  size=21.0 MB  elapsed=4.4s

lastfm_1k/maxembed_paper_scale/logs/stage6.log

@@ -0,0 +1,15 @@
+=== cylon_remaps ===
+  tables: 1
+  total rows: 1,261,693
+[1] sequential
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/cylon_remaps/sequential_remap.json  (10.2 MB)  total_pages=78,856
+[2] parsing trace for freq (+ coaccess)
+Traceback (most recent call last):
+  File "/home/sadoo/Projects/kvcache/research_data/scripts/group_c_rating_datasets/stage5_cylon_remaps.py", line 241, in <module>
+    main()
+  File "/home/sadoo/Projects/kvcache/research_data/scripts/group_c_rating_datasets/stage5_cylon_remaps.py", line 222, in main
+    freq, coaccess = parse_trace(args.trace, meta, for_seedexpand=not args.skip_seedexpand)
+                     ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+  File "/home/sadoo/Projects/kvcache/research_data/scripts/group_c_rating_datasets/stage5_cylon_remaps.py", line 32, in parse_trace
+    for row in reader:
+_csv.Error: field larger than field limit (131072)

lastfm_1k/maxembed_paper_scale/logs/stage6_retry.log

@@ -0,0 +1,12 @@
+=== cylon_remaps ===
+  tables: 1
+  total rows: 1,261,693
+[1] sequential
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/cylon_remaps/sequential_remap.json  (10.2 MB)  total_pages=78,856
+[2] parsing trace for freq (+ coaccess)
+  batches scanned: 992
+  table 0: limit co-access to top-50000 of 1,261,693 accessed
+[3] maxembed (frequency-sorted)
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/cylon_remaps/maxembed_remap.json  (10.2 MB)  total_pages=78,856
+[4] seedexpand
+  wrote /home/sadoo/Projects/kvcache/research_data/processed/lastfm_1k/cylon_remaps/seedexpand_remap.json  (10.2 MB)  total_pages=78,856

lastfm_1k/maxembed_paper_scale/logs/start_time.txt

@@ -0,0 +1 @@
+2026-04-19T20:46:53+08:00

million_song/cylon_remaps/maxembed_remap.json

@@ -0,0 +1 @@
+{"layout": "maxembed_full_global", "rep_ratio": 0.0, "total_pages": 625, "table_offsets": [0], "tables": [{"id": 0, "remap": [4304, 1648, 3584, 5120, 848, 3152, 1360, 3568, 6848, 9696, 2896, 6784, 9328, 9952, 4560, 9904, 7456, 8736, 2784, 4400, 2960, 6192, 1552, 6416, 6896, 5616, 528, 7328, 5920, 1616, 6144, 9088, 7040, 192, 5584, 8160, 7472, 3648, 8816, 144, 6592, 9104, 9824, 8512, 32, 2912, 8656, 3312, 7264, 5280, 3056, 16, 6304, 7168, 6048, 1760, 5376, 4640, 6112, 6864, 8144, 1968, 3440, 5120, 3360, 9104, 3280, 3712, 8800, 5264, 7104, 9600, 640, 6736, 1440, 8208, 6336, 8160, 4976, 8960, 928, 9936, 800, 1456, 1392, 2272, 7552, 8288, 336, 6160, 5888, 3488, 2288, 7488, 9664, 6848, 7040, 3776, 48, 7744, 8400, 9008, 5808, 5008, 3456, 2048, 208, 8240, 2704, 5712, 2336, 272, 7328, 7856, 4432, 4576, 6368, 4656, 6832, 7696, 5872, 6608, 2720, 9312, 7680, 9616, 5024, 4080, 2976, 4624, 1616, 736, 4800, 672, 9344, 8752, 5936, 4512, 4272, 2048, 5008, 4064, 352, 7872, 7776, 4416, 9856, 2496, 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2048, 5840, 6400, 9536, 496, 1488, 7792, 3872, 2880, 5024, 1184, 7664, 4160, 2048, 1456, 7968, 7024, 9760, 9264, 3200, 7712, 9216, 5024, 5232, 1024, 7136, 2080, 2848, 112, 4560, 2848, 3584, 7888, 432, 480, 2976, 7536, 9840, 7488, 6784, 6544, 6576, 5488, 9040, 3904, 6528, 4896, 7232, 5952, 7872, 1984, 8496, 4976, 7264, 1104, 8160, 5904, 7232, 6720, 192, 6560, 3056, 7296, 3040, 1120, 5760, 3040, 704, 8480, 944, 1760, 7248, 7312, 6992, 8096, 2544, 672, 2608, 7904, 8784, 2352, 4912, 7072, 6336, 7536, 8560, 3824, 9200, 2928, 7056, 3456, 96, 208, 2880, 6160, 6384, 9248, 2416, 6688, 5520, 6560, 2528, 8912, 7040, 240, 5120, 4608, 2176, 1456, 2064, 6336, 9408, 1184, 7968, 9168, 9216, 3856, 9120, 9280, 2560, 7776, 5760, 9968, 5984, 3920, 6288, 3664, 5296, 1200, 7728, 1952, 7360, 1520, 9360, 3504, 656, 1808, 4800, 7696, 7232, 8752, 3344, 8368, 7440, 8912, 9488, 2672, 7360, 6480, 7808, 1216, 8896, 6704, 7424, 1792, 9264, 9712, 5824, 4176, 3216, 8976, 6480, 3344, 112, 5168, 928, 416, 4944, 5776, 8880, 1648, 9104, 5056, 5648, 1184, 1424, 2736, 5104, 1888, 4560, 1680, 6048, 3408, 2256, 864, 9328, 3440, 4352, 1280, 480, 5264, 5888, 8144, 5776, 5264, 8400, 9824, 6208, 5792, 3120, 8112, 5680, 496, 6528, 8256, 9232, 9808, 4224, 2512, 8992, 2224, 3872, 3072, 7984, 8896, 8528, 6800, 6496, 2752, 5024, 320, 2224, 4864, 7264, 8976, 144, 9152, 5168, 6256, 8032, 3648, 8896, 4256, 4112, 9824, 2912, 9424, 7040, 6672, 9568, 2640, 6288, 3552, 9968, 8096, 6288, 1424, 7712, 2176, 4192, 2928, 7152, 8336, 224, 2032, 8656, 7984, 7792, 9968, 3408, 1152, 1312, 9424, 9968, 2288, 7152, 9312, 8432, 9504, 464, 4784, 1104, 1168, 3744, 6992, 4096, 6048, 6576, 2656, 4416, 8000, 9472, 7328, 9120, 8176, 1904, 7376, 1760, 3216, 2128, 9152, 5168, 944, 720, 1744, 7952, 7216, 7120, 8512, 7216, 6928, 8896, 8272, 5392, 1072, 6864, 208, 5552, 6864, 3840, 9072, 5328, 1408, 1104, 9024, 3584, 1296, 8112, 8752, 6832, 6528, 4784, 6320, 32, 2912, 2720, 3200, 5488, 4192, 2096, 8000, 3456, 6112, 2096, 1152, 2688, 5120, 4816, 992, 5328, 9328, 1392, 3632, 3584, 4560, 2784, 2480, 608, 880, 3056, 8720, 7552, 1376, 1088, 9664, 8096, 6608, 7312, 9552, 8688, 8272, 7248, 8160, 7504, 5360, 2912, 512, 3168, 6320, 2256, 6832, 6032, 6208, 2896, 6640, 4368, 5344, 3600, 1232, 720, 6288, 8592, 2224, 784, 4016, 3984, 4208, 7600, 112, 2128, 8832, 8560, 1504, 8720, 9616, 1072, 4320, 8464, 6320, 9072, 9376, 1792, 5888, 5392, 8512, 1648, 6336, 4256, 5264, 4816, 9056, 6560, 3472, 272, 9408, 9440, 2720, 576, 4576, 864, 8816, 4048, 5120, 8752, 9680, 9424, 2864, 8400, 8576, 1392, 4320, 5280, 6384, 6128, 8144, 4144, 6880, 1056, 1728, 1120, 9488, 2528, 4128, 7984, 4624, 7392, 4304, 4976, 6240, 2560, 4848, 1680, 2992, 6528, 4176, 4720, 6080, 16, 8880, 9776, 2752, 5312, 2272, 2352, 2416, 1872, 6080, 5392, 2640, 7200, 3536, 5200, 1696, 9024, 336, 4480, 1824, 2928, 5696, 3568, 9104, 8336, 5344, 6480, 3840, 8960, 4304, 2704, 6352, 640, 8512, 3664, 176, 1232, 6240, 8128, 240, 3856, 9264, 4368, 0, 2064, 9632, 2432, 3760, 4928, 9632, 7552, 5952, 80, 5216, 1328, 6096, 1680, 6080, 1056, 3424, 5248, 1328, 224, 8368, 2432, 2176, 3488, 9744, 3312, 7088, 496, 2208, 5264, 7200, 432, 944, 8256, 4144, 2400, 4768, 1952, 4720, 1040, 6160, 1792, 6272, 5536, 3728, 9008, 8960, 448, 1232, 9520, 9488, 5744, 4576, 4848, 4032, 848, 8112, 9616, 6432, 5872, 3488, 1776, 2384, 9536, 1648, 6976, 6000, 8224, 9120, 2832, 2640, 7616, 160, 3792, 512, 5312, 2672, 9440, 7056, 1840, 7680, 2112, 6560, 9152, 3360, 5824, 4256, 4496, 6416, 6064, 4592, 2576, 2448, 9904, 1200, 6032, 1440, 7376, 3440, 8096, 7936, 3024, 3200, 6160, 5968, 5840, 7984, 1312, 6576, 784, 7584, 8224, 5536, 4896, 3744, 8048, 4144, 5136, 1328, 2656, 6656, 4240, 512, 2240, 9360, 992, 7200, 6304, 7504, 7104, 8832, 6752, 9312, 560, 4320, 7360, 8240, 8112, 6640, 3808, 3696, 8640, 5776, 9744, 8896, 128, 4816, 3888, 4352, 1152, 9360, 3136, 6720, 7392, 4048, 7840, 1168, 1056, 7120, 8848, 2496, 2736, 8848, 5648, 9216, 5184, 336, 8496, 6576, 9984, 5424, 1296, 9072, 1744, 1856, 2016, 9376, 7504, 7696, 48, 3776, 48, 7648, 2816, 8368, 9808, 5504, 2176, 1904, 5216, 2368, 5376, 3072, 9200, 6064, 9360, 8368, 3056, 1408, 8160, 9472, 6000, 9968, 7408, 2288, 4480, 5664, 480, 2096, 7072, 1648, 1488, 7712, 992, 1664, 1040, 3712, 5488, 560, 7616, 9696, 5408, 3728, 9408, 6688, 6672, 3968, 4288, 432, 2400, 1424, 8528, 7872, 5792, 4352, 6816, 1744, 4048, 8944, 752, 2384, 6880, 2016, 6528, 176, 5136, 2576, 8432, 3248, 3968, 608, 5680, 5232, 7520, 7184, 5952, 7840, 9280, 1552, 4560, 5728, 704, 1696, 6432, 7776, 2320, 9120, 4976, 2352, 3520, 5424, 9968, 8128, 4144, 6064, 7232, 1104, 5696, 7440, 4096, 2784, 3392, 4688, 6528, 3616, 9040, 4880, 8160, 7072, 2496, 8048, 1216, 1920, 9504, 7584, 8816, 1824, 208, 1456, 2848, 9456, 8176, 9568, 1776, 2720, 912, 2768, 1520, 7680, 5200, 7568, 6736, 1744, 2080, 7072, 2592, 8976, 6640, 5920, 640, 8192, 5952, 7488, 2592, 3808, 4720, 5664, 3248, 6768, 6960, 6416, 3184, 8880, 288, 3008, 3968, 5920, 8960, 9616, 2656, 7232, 2992, 2080, 8544, 5760, 9776, 4272, 4000, 5344, 7616, 5344, 1952, 16, 4160, 4864, 6192, 1920, 5776, 1728, 6960, 2464, 4240, 32, 8784, 1776, 2016, 3840, 3280, 5776, 4320, 8640, 5376, 6416, 3968, 912, 3792, 2688, 2448, 2880, 1328, 9696, 8368, 7952, 368, 9472, 1888, 2272, 3232, 3936, 9648, 6256, 4288, 3280, 2992, 7984, 8336, 5712, 8304, 3264, 5488, 400, 4000, 1472, 7360, 336, 6032, 1792, 3104, 2544, 9008, 2048, 4448, 1632, 5936, 2544, 1680, 8560, 4112, 7776, 5056, 5568, 8320, 8336, 4032, 4400, 4128, 9184, 5776, 912, 208, 8928, 4320, 7568, 624, 4000, 9664, 9280, 2464, 7184, 864, 5104, 2304, 1072, 9568, 992, 1424, 1168, 8800, 896, 5968, 7872, 4544, 864, 8848, 8832, 1872, 224, 7344, 6832, 5088, 3056, 8304, 880, 7040, 3888, 4800, 8720, 2448, 2000, 1584, 9456, 6944, 4640, 7856, 5296, 7152, 9056, 7696, 560, 1776, 2992, 5504, 8112, 3616, 6960, 6192, 1328, 7184, 4448, 3168, 3520, 5968, 3056, 2624, 8304, 3840, 2560, 5872, 3296, 752, 2336, 4992, 9888, 7424, 5104, 9440, 2336, 2560, 464, 3200, 3216, 6800, 2544, 1456, 6576, 4112, 8432, 5968, 9344, 4096, 7872, 5424, 4160, 272, 2016, 4384, 2720, 1776, 3152, 5744, 64, 2496, 9680, 8240, 2336, 7040, 112, 2576, 944, 2640, 9136, 3008, 8112, 8800, 576, 8608, 2384, 8752, 1056, 960, 3296, 1280, 6896, 1504, 7584, 1728, 7440, 1168, 2080, 3776, 8688, 6752, 5648, 9504, 2304, 8528, 224, 2768, 8512, 464, 8464, 1040, 176, 2032, 9376, 8064, 2704, 7664, 7616, 6688, 7440, 1920, 2896, 8144, 7168, 1808, 9952, 4656, 5344, 6800, 1024, 1440, 640, 9552, 4672, 6304, 3616, 5664, 9184, 1696, 2304, 8032, 8624, 6416, 8896, 2016, 8128, 3760, 2272, 6512, 6944, 3488, 5376, 992, 1328, 5520, 2400, 6832, 720, 9088, 5264, 3056, 6896, 1312, 8832, 3808, 2752, 9600, 2048, 8016, 4816, 6544, 3648, 480, 160, 8304, 8032, 4912, 4400, 3456, 5872, 8848, 1872, 9152, 8496, 80, 7776, 3808, 9424, 8656, 4832, 4288, 224, 512, 8048, 1184, 1632, 4576, 3392, 8480, 320, 4912, 5232, 6896, 2352, 704, 6784, 7536, 9712, 336, 9920, 720, 3440, 9808, 7920, 208, 6976, 528, 7344, 3424, 9040, 7552, 6608, 3904, 1792, 8288, 7904, 8096, 912, 9680, 7616, 6416, 8864, 32, 2736, 5136, 8880, 8096, 5344, 3376, 9440, 8768, 3728, 1200, 5376, 7584, 2848, 4688, 3296, 656, 1376, 0, 3552, 6320, 9664, 1808, 6704, 9376, 864, 1520, 9184, 6944, 6544, 4512, 2160, 3072, 4080, 7024, 9584, 2144, 1360, 8128, 9200, 6272, 3776, 3136, 6560, 1184, 688, 8864, 3248, 7456, 1088, 5872, 3584, 4608, 3680, 7328, 640, 144, 9856, 2704, 4192, 8272, 4592, 2016, 6640, 2880, 4880, 3568, 7168, 6960, 6704, 464, 3600, 2896, 1776, 9888, 9728, 6544, 3984, 9424, 4560, 288, 8192, 9792, 7552, 96, 2240, 4496, 5120, 4208, 4928, 1136, 8416, 7824, 8848, 7888, 7840, 192, 9712, 5664, 4016, 4688, 4208, 784, 6336, 3584, 1600, 8736, 8384, 3952, 2400, 7936, 5504, 6640, 7648, 416, 1232, 3344, 976, 5424, 96, 8784, 6496, 8352, 2000, 9056, 6288, 3472, 7120, 6048, 2768, 3072, 6448, 4032, 3824, 320, 464, 3488, 9104, 4080, 4656, 5488, 1552, 1296, 432, 9296, 9584, 1136, 6768, 2160, 2432, 4832, 4192, 6112, 9648, 4304, 9184, 5152, 3200, 5408, 9984, 1248, 624, 5344, 5120, 9584, 8784, 4816, 4384, 9680, 9536, 544, 9728, 3488, 8448, 6464, 2272, 5856, 9008, 1984, 8192, 1392, 7600, 8816, 8512, 6960, 3168, 7920, 7984, 1568, 7504, 3120, 4880, 7840, 2736, 1136, 4208, 3232, 576, 5392, 3024, 3424, 1136, 8032, 784, 8288, 9664, 4976, 7168, 7008, 7232, 7072, 5296, 9760, 8256, 1232, 6624, 6816, 1360, 144, 6944, 9280, 9328, 176, 4624, 2000, 6096, 6512, 7024, 6000, 4080, 5712, 832, 9776, 4656, 5328, 752, 1728, 9248, 1488, 4096, 3776, 6000, 9840, 304, 4592, 6688, 480, 3232, 2192, 4080, 4080, 1072, 6464, 7008, 7888, 8128, 9936, 1568, 7776, 8704, 6208, 5536, 5872, 7904, 9232, 3200, 9424, 768, 1344, 1856, 9264, 2576, 6976, 4944, 3664, 5136, 2592, 2000, 3680, 2928, 624, 9072, 8944, 576, 7216, 4096, 2352, 6080, 9456, 9616, 6656, 3472, 7056, 8672, 9152, 6176, 7680, 9200, 2992, 1296, 4672, 4608, 3232, 1840, 2768, 6752, 4160, 368, 4704, 4544, 5888, 8320, 8160, 6208, 5888, 4368, 7888, 7360, 9472, 7856, 1088, 992, 4112, 5616, 9696, 1968, 496, 5552, 5776, 1152, 6112, 2032, 9552, 3616, 432, 544, 480, 928, 3456, 7440, 7360, 7456, 8128, 3520, 9344, 7040, 9024, 1312, 9744, 2672, 5984, 160, 2224, 8528, 5408, 816, 944, 1152, 8688, 8208, 5984, 4304, 8592, 6736, 8560, 4480, 6960, 8816, 7584, 9392, 9984, 3808, 4672, 9424, 816, 848, 6576, 9728, 7952, 896, 704, 2496, 7040, 7264, 2240, 8112, 576, 4720, 2640, 9328, 7648, 4240, 3040, 2512, 2416, 1968, 4704, 8384, 1680, 7888, 1536, 848, 2128, 4400, 7344, 7504, 8272, 3312, 5232, 8128, 800, 6688, 1680, 2384, 8816, 2688, 6832, 9536, 1456, 7392, 2352, 7792, 4784, 6000, 5360, 8288, 880, 352, 2608, 9152, 2448, 3952, 1536, 6880, 944, 9232, 6768, 3392, 1344, 4096, 8352, 1712, 6288, 7728, 1856, 1168, 3472, 592, 1920, 7216, 5056, 240, 9952, 6304, 5632, 3152, 3360, 2832, 7344, 5520, 672, 7296, 9696, 5216, 336, 2416, 3408, 8080, 416, 5664, 6176, 4368, 8672, 64, 5584, 6880, 6272, 4608, 960, 3616, 320, 8832, 528, 2544, 9104, 8880, 4752, 9936, 4288, 5600, 592, 5456, 4080, 112, 9696, 7680, 8176, 6032, 6480, 8384, 9744, 8400, 64, 6048, 9520, 4272, 3360, 8048, 4480, 7392, 3840, 1600, 6304, 2336, 5744, 2432, 8576, 4288, 2432, 6448, 7328, 4352, 1632, 8704, 2992, 4544, 7680, 7600, 2160, 5280, 7760, 544, 4416, 2576, 8592, 3552, 4064, 1664, 2784, 2992, 5552, 8352, 7056, 5232, 4096, 3072, 1392, 8624, 2368, 9520, 3456, 2832, 7360, 6464, 8496, 8544, 5824, 9088, 3040, 3088, 3440, 1824, 560, 3824, 4800, 608, 8160, 6784, 5392, 320, 6000, 2192, 544, 6928, 3904, 2448, 7104, 9552, 8544, 5840, 9648, 2512, 2080, 6832, 1200, 6128, 9184, 4656, 960, 1056, 880, 4832, 3712, 784, 5360, 4224, 4848, 1776, 8464, 8480, 6304, 5648, 7904, 7728, 7664, 1280, 1408, 4736, 9296, 4688, 9536, 2256, 1968, 3280, 4288, 2160, 272, 4544, 128, 2384, 5056, 9376, 5840, 1184, 5984, 2208, 6512, 5296, 1584, 944, 8624, 5712, 5936, 4432, 6512, 848, 2176, 688, 6528, 8080, 8240, 4288, 7600, 1824, 9824, 288, 6016, 5008, 9792, 2992, 1920, 560, 7360, 5792, 6160, 3200, 6608, 5664, 9728, 7376, 7408, 9776, 832, 1120, 2416, 9984, 7440, 80, 5168, 7776, 7248, 1088, 2256, 5552, 7168, 1920, 1552, 9824, 9536, 2128, 784, 1248, 368, 6192, 16, 6816, 4336, 9584, 7344, 9648, 6784, 6160, 9488, 1728, 7056, 1632, 7984, 1200, 4032, 7200, 8848, 2400, 7664, 1488, 2288, 9760, 2512, 8416, 5984, 8128, 6144, 432, 5664, 4976, 9792, 6384, 7584, 3296, 0, 6256, 4976, 5920, 9072, 896, 9024, 2528, 384, 5152, 4016, 4768, 16, 8032, 7568, 5520, 9840, 4192, 2272, 4432, 2704, 5632, 9120, 9104, 3264, 1536, 6896, 8224, 2800, 5968, 9376, 5072, 5568, 7536, 9472, 384, 6352, 8592, 6128, 2144, 6224, 7136, 9296, 6944, 4592, 1280, 6160, 8272, 2448, 1808, 9744, 5264, 6800, 1840, 2048, 1152, 6864, 5392, 8288, 4720, 7136, 4912, 5792, 1632, 1408, 6992, 1824, 6064, 4368, 6656, 3920, 8928, 7504, 9936, 6016, 6512, 2256, 9520, 8880, 4640, 7248, 4720, 1712, 9904, 6592, 3440, 7360, 7632, 1456, 3296, 5584, 2528, 2896, 7872, 9664, 4256, 7424, 448, 1088, 7488, 7344, 4736, 8896, 8560, 4960, 5856, 8240, 9296, 3056, 1808, 4400, 6992, 4832, 224, 8528, 320, 4096, 3008, 7968, 624, 8512, 7520, 9616, 8256, 7120, 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3152, 4032, 9024, 9824, 7088, 2800, 9056, 9984, 2640, 928, 3280, 5152, 5216, 4480, 9472, 2656, 6864, 7728, 8080, 2720, 8480, 2656, 4720, 7376, 3984, 8432, 4832, 8448, 7984, 192, 4944, 6256, 3520, 3808, 5136, 1360, 7344, 5536, 624, 1216, 9488, 1296, 1360, 80, 5072, 6336, 4048, 9680, 5744, 3040, 3168, 7424, 3552, 8608, 1360, 9616, 2496, 5952, 3040, 8512, 688, 304, 7168, 4592, 8992, 7520, 4256, 2768, 1296, 1200, 6240, 6720, 2816, 6288, 2304, 2624, 912, 6896, 9632, 7584, 8608, 6128, 6208, 6336, 7120, 208, 48, 4144, 5536, 8688, 6480, 2688, 2320, 7472, 4624, 4848, 4960, 8864, 1456, 9824, 400, 8640, 1248, 6832, 8000, 288, 6688, 7776, 5328, 5696, 1376, 3120, 2656, 8528, 7056, 1888, 1264, 2944, 768, 2560, 3104, 6208, 9840, 7168, 5152, 1056, 3680, 2848, 8480, 1568, 4256, 16, 9920, 9408, 3024, 8416, 4400, 976, 4096, 2960, 144, 3888, 2464, 5920, 9120, 9152, 2416, 9984, 1488, 7488, 9504, 1760, 4336, 3296, 2416, 1984, 4624, 2672, 5728, 7840, 5248, 4752, 4640, 256, 0, 8592, 2208, 6128, 4752, 16, 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2240, 7904, 2464, 1904, 768, 6768, 704, 3376, 2992, 7264, 8224, 4608, 8176, 1424, 80, 1312, 4864, 2944, 5584, 864, 7488, 4512, 6384, 7296, 1712, 3840, 7008, 7088, 8512, 3600, 5568, 3712, 5568, 1680, 3792, 3952, 8576, 4048, 7280, 2528, 8496, 9280, 9040, 5264, 8192, 7808, 8672, 944, 9760, 4704, 64, 5632, 9184, 7280, 3680, 3824, 5072, 8608, 3520, 5904, 9520, 4048, 9168, 9808, 8000, 8752, 6016, 4864, 304, 8656, 2352, 7104, 7888, 8976, 2144, 8608, 3072, 3648, 1968, 6368, 7792, 3856, 1936, 800, 9088, 1744, 4016, 5040, 3152, 5344, 2576, 992, 4208, 9136, 9504, 7328, 1776, 6080, 8304, 5872, 608, 1872, 8208, 1696, 6352, 7408, 6096, 8080, 1040, 3696, 9216, 7952, 5088, 4960, 5440, 4864, 4144, 4400, 1024, 7696, 5056, 8704, 7936, 784, 5392, 6992, 2256, 5680, 768, 7696, 9440, 6368, 2624, 4880, 4128, 7632, 5584, 1056, 9664, 8304, 752, 6912, 2544, 6032, 352, 6752, 5776, 4992, 6032, 8768, 6048, 6512, 160, 4256, 3040, 1952, 912, 3904, 4464, 5760, 6416, 8864, 5456, 3504, 320, 2432, 6384, 4528, 7152, 8928, 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8416, 2192, 9392, 2720, 2240, 2080, 6944, 8640, 16, 4720, 5808, 5104, 9600, 1712, 9632, 3952, 2592, 9744, 7744, 8160, 3744, 1840, 2832, 928, 608, 976, 1440, 7152, 4416, 9632, 4720, 9728, 6352, 7792, 1632, 4224, 5664, 5792, 4464, 9136, 96, 2480, 2736, 9888, 3808, 1728, 4368, 1616, 4112, 192, 5120, 6576, 1024, 528, 7824, 6400, 4768, 256, 2544, 4992, 5952, 6624, 1600, 4384, 9888, 6336, 4656, 128, 2320, 2224, 3328, 1776, 5200, 4176, 6112, 1184, 2944, 6352, 4192, 3792, 1232, 4800, 9232, 9264, 5408, 7296, 1456, 960, 32, 3488, 9760, 9280, 2064, 3184, 8336, 9872, 5568, 5536, 7856, 3104, 7312, 5856, 9136, 6736, 3168, 5168, 1136, 1504, 3568, 464, 8480, 4832, 7584, 240, 784, 6624, 6928, 7328, 4672, 3712, 5872, 7248, 6832, 3216, 816, 9616, 6240, 1520, 5792, 8320, 3584, 2768, 5920, 4640, 8848, 3280, 7616, 6064, 5248, 2304, 9888, 6912, 6768, 9408, 6448, 880, 8224, 6528, 3856, 8800, 7968, 8736, 7664, 2480, 7024, 8592, 7152, 3184, 4176, 9776, 2960, 8784, 1136, 4976, 2336, 9296, 3136, 9184, 5152, 8640, 6848, 6304, 2656, 4272, 6816, 8784, 4240, 848, 976, 4880, 3920, 4192, 3088, 6000, 1792, 5328, 3504, 5056, 1616, 7376, 9568, 8720, 1584, 5248, 9040, 1008, 3904, 960, 352, 8576, 3184, 3744, 2576, 8176, 6304, 9888, 6272, 3040, 4848, 3712, 9424, 3520, 3408, 3088, 2208, 9232, 7664, 9232, 6128, 4384, 4848, 4208, 4480, 6704, 9520, 800, 560, 6128, 4096, 9968, 4224, 656, 9456, 1824, 4848, 5904, 7888, 9824, 576, 2992, 4240, 8160, 9760, 2384, 3808, 832, 1152, 3680, 9920, 7600, 5936, 2304, 2928, 6064, 3360, 9440, 4320, 5248, 2832, 9952, 4640, 7264, 9040, 3840, 3120, 7744, 5152, 6368, 368, 4960, 480, 7472, 4880, 128, 4000, 3280, 5440, 5808, 8000, 5536, 2480, 192, 3424, 3600, 3136, 3664, 1280, 3664, 736, 6288, 2672, 704, 1040, 2064, 2384, 8768, 7280, 544, 5408, 6448, 1264, 2016, 9488, 1744, 5168, 4384, 6624, 7840, 6448, 4320, 1952, 6048, 4448, 4464, 6720, 656, 912, 2576, 7120, 496, 4544, 5120, 2944, 5232, 752, 8736, 6256, 2800, 9792, 4976, 1952, 2464, 4560, 8800, 5328, 8432, 8560, 1744, 2880, 1968, 3824, 3360, 4896, 3008, 2560, 7744, 1568, 6288, 6992, 656, 5136, 6960, 8080, 4896, 9392, 5248, 4448, 5504, 1824, 4432, 5456, 2672, 7232, 3424, 7216, 8416, 2368, 112, 4544, 8272, 5632, 8400, 7376, 6512, 4512, 5456, 1408, 1040, 240, 4016, 2864, 6656, 3920, 6480, 7072, 9360, 7184, 9456, 9472, 16, 1328, 3968, 3120, 2592, 7536, 6160, 6064, 2464, 5008, 6224, 3920, 3376, 9952, 8864, 9632, 4512, 528, 3248, 3104, 9680, 7440, 2528, 2144, 5296, 8736, 544, 2960, 6944, 8144, 9792, 192, 9392, 1248, 1008, 9792, 2064, 3600, 5296, 6560, 1376, 1184, 2096, 5728, 3056, 9168, 7328, 8320, 8912, 304, 4800, 7280, 3920, 8032, 112, 5840, 6912, 7568, 3024, 2000, 6080, 8240, 2912, 7760, 2192, 7488, 3376, 9984, 3920, 6704, 5424, 816, 9200, 8672, 1296, 288, 3488, 7440, 1536, 3760, 9568, 3664, 4656, 5216, 8128, 2320, 6368, 8768, 9264, 560, 8080, 9120, 1376, 8864, 8992, 7760, 9536, 7392, 5200, 6864, 3472, 4784, 8384, 2192, 8784, 6576, 2784, 7296, 2016, 3520, 2160, 7360, 2080, 1232, 2944, 5744, 9488, 688, 3936, 5824, 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