add alternative-embedder FAISS / PLAID indices

.gitattributes

@@ -70,3 +70,5 @@ indexes/e5_large_coarse.faiss filter=lfs diff=lfs merge=lfs -text
 indexes/e5_large_coarse_metadata.json filter=lfs diff=lfs merge=lfs -text
 indexes/e5_large_fine.faiss filter=lfs diff=lfs merge=lfs -text
 indexes/e5_large_fine_metadata.json filter=lfs diff=lfs merge=lfs -text
+indexes/colbert_coarse_metadata.json filter=lfs diff=lfs merge=lfs -text
+indexes/colbert_fine_metadata.json filter=lfs diff=lfs merge=lfs -text

indexes/colbert_coarse/index/documents_ids_to_plaid_ids.pkl

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59b2d0fcbc33d00a93f5bb5b435e42a279d822ff4ef6b4d719040d67efadb91d
+size 1607910

indexes/colbert_coarse/index/fast_plaid_index/0.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1da1128de0bd75c4a9e451eb4ea986379473dd45d8bd2ba6d1129adb7debc36d
+size 26880392

indexes/colbert_coarse/index/fast_plaid_index/0.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 0,
+  "num_embeddings": 3360039,
+  "num_passages": 25000
+}

indexes/colbert_coarse/index/fast_plaid_index/0.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a448b66b0ec92d2685f428cfd526675749a2226be5b9e167a0c336b3af36c68
+size 215042576

indexes/colbert_coarse/index/fast_plaid_index/1.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9498d9cdcaffde0c7f182ce9f19fc6c35cb0cc2e9a78f07ee25fc9a7960542de
+size 22640304

indexes/colbert_coarse/index/fast_plaid_index/1.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 3360039,
+  "num_embeddings": 2830028,
+  "num_passages": 21063
+}

indexes/colbert_coarse/index/fast_plaid_index/1.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ce248d6a6c67b69687bc06330f7f3f65593d1edbb56b972823f314e0e5c2f12
+size 181121872

indexes/colbert_coarse/index/fast_plaid_index/avg_residual.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e339b876f152a9f2833863be9088648402d4bccb8d9311f1f9863496cd642833
+size 592

indexes/colbert_coarse/index/fast_plaid_index/bucket_cutoffs.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f659bc29e326e88a019b2ecb104457163b2b55407eae0f9104086e0ae5f17e0a
+size 140

indexes/colbert_coarse/index/fast_plaid_index/bucket_weights.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4af4f82c6bf00b0ae64064d9d983962fd2f44a6f61adff287cff91015bece2b5
+size 144

indexes/colbert_coarse/index/fast_plaid_index/centroids.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2b35c06e502a1da67c0de5b74659cbf0c8e041e3006afd4949cab8616be09e8
+size 8388688

indexes/colbert_coarse/index/fast_plaid_index/doclens.0.json

@@ -0,0 +1 @@
+[27,161,58,138,151,161,163,47,156,164,161,163,158,162,154,153,154,163,157,155,159,37,158,159,150,159,158,166,164,161,157,162,160,157,162,147,154,157,126,159,159,152,170,142,156,155,159,167,121,160,123,118,144,76,132,162,152,152,163,89,160,159,168,146,158,160,154,151,144,154,155,157,151,158,88,97,151,85,154,157,152,157,154,155,156,80,72,98,124,138,96,155,86,142,154,165,159,157,161,156,31,142,135,131,63,120,123,159,161,167,145,158,152,160,149,148,157,157,158,163,162,166,165,160,156,163,159,166,149,153,155,166,165,161,163,166,155,158,156,145,170,164,160,129,129,135,128,118,120,150,161,144,152,140,165,123,159,156,158,150,165,159,156,152,159,164,163,156,166,157,167,159,158,158,159,161,155,159,157,155,150,158,159,153,126,118,112,164,154,153,166,152,160,156,146,150,157,126,156,155,154,159,162,152,156,154,165,153,160,152,93,51,108,148,156,108,152,151,152,147,158,151,158,158,157,164,152,163,160,154,158,158,158,94,160,159,167,159,151,157,162,145,150,159,159,162,153,155,150,164,126,116,117,117,131,121,120,129,166,141,165,153,157,161,159,151,149,155,151,159,159,153,163,156,164,159,153,163,160,155,161,162,151,160,166,140,126,118,132,127,126,128,147,150,163,163,151,167,163,137,152,157,166,157,164,130,95,150,135,98,156,159,153,108,107,155,157,127,155,154,164,144,96,140,118,158,153,157,167,93,121,120,28,156,154,147,142,163,166,163,164,167,155,132,140,104,86,143,163,146,154,157,157,162,151,24,93,157,128,157,111,150,166,159,34,162,157,140,155,161,161,114,157,26,13,156,119,158,161,152,156,153,161,157,163,158,163,159,156,162,30,155,155,155,138,162,164,138,14,152,160,161,158,131,133,127,128,90,74,89,81,111,95,97,102,84,158,145,143,156,147,146,154,157,156,153,157,160,158,159,153,160,161,154,139,148,154,141,157,154,154,89,7,59,145,148,157,35,83,143,70,74,38,133,144,77,72,159,90,76,83,108,88,150,159,152,152,158,148,130,137,142,156,163,166,161,157,155,164,167,158,157,149,158,165,160,161,166,166,158,164,161,166,159,153,158,135,163,157,154,149,156,162,169,162,142,167,114,160,159,126,111,113,124,167,145,157,157,156,161,154,166,159,165,155,159,172,156,160,160,164,149,161,160,162,162,167,154,160,165,166,161,162,166,133,113,124,124,38,90,154,131,162,153,162,141,118,147,148,154,150,140,131,134,146,165,160,137,139,166,152,153,130,158,151,145,135,161,154,149,165,127,159,141,166,155,161,158,160,166,157,159,160,163,156,159,166,157,158,158,160,141,164,141,161,140,163,152,162,137,160,113,162,147,164,128,134,162,155,164,141,159,156,157,157,155,160,159,158,148,127,154,136,150,145,149,156,147,149,34,158,101,108,146,146,158,142,109,154,115,85,140,131,79,147,86,135,124,159,78,141,83,144,83,164,150,115,114,111,116,108,86,24,128,22,82,25,144,156,161,162,144,146,163,153,143,126,100,151,153,152,149,154,154,153,152,153,159,156,152,151,157,154,147,159,156,151,144,151,130,123,122,124,127,90,21,25,20,93,140,148,154,162,91,138,151,156,155,152,139,22,148,97,132,147,149,116,108,144,151,150,154,162,161,119,132,158,45,162,164,45,143,139,128,151,153,124,130,36,138,147,89,77,67,147,149,89,66,142,137,89,65,91,94,70,89,79,146,140,150,153,146,131,120,112,123,118,119,62,154,153,161,146,164,131,161,120,112,160,107,114,122,144,143,91,158,149,156,143,161,165,111,163,156,140,94,157,150,155,157,158,159,127,119,122,88,98,136,164,147,162,159,148,154,91,129,140,139,142,168,161,159,162,155,142,141,131,155,117,33,142,160,131,149,141,163,157,159,136,156,151,155,152,157,164,152,140,138,161,149,149,156,145,142,143,156,146,160,150,143,148,146,141,158,160,142,139,151,136,163,151,159,146,129,156,154,158,156,155,162,154,153,163,148,154,158,168,157,161,159,160,156,166,165,156,150,152,161,163,155,160,42,156,158,162,160,159,130,155,161,161,162,67,158,163,156,152,148,154,161,167,166,103,159,157,144,118,118,120,114,123,111,118,120,137,86,153,152,97,152,161,158,169,153,153,158,49,159,131,149,24,152,159,159,158,165,154,133,156,158,151,162,165,159,163,165,146,167,127,123,123,97,101,92,9,149,162,161,163,156,139,155,158,148,156,158,159,158,155,157,162,165,151,160,157,160,161,106,131,156,149,159,163,158,153,161,160,150,160,128,116,128,113,21,146,126,3,124,134,166,164,147,161,162,144,152,158,156,124,157,164,159,134,155,160,127,141,162,166,145,161,153,147,165,142,163,150,143,162,163,147,125,134,171,162,137,116,151,166,136,141,136,141,158,146,143,166,150,159,163,165,134,142,145,160,153,140,157,82,68,78,68,76,70,80,68,80,113,90,68,77,27,28,16,163,165,162,168,52,158,162,162,156,156,157,115,160,161,155,164,139,165,167,157,136,159,166,163,160,165,155,152,143,156,154,161,143,135,137,157,154,161,163,165,135,119,166,166,162,149,136,160,162,158,168,164,152,163,158,158,135,141,164,154,128,165,169,153,76,163,121,155,126,151,160,150,144,170,149,149,153,158,166,152,134,168,168,164,140,142,156,33,163,161,157,149,141,167,138,142,148,166,168,155,166,157,163,165,165,85,157,159,137,162,151,163,168,155,162,28,158,158,157,153,158,156,166,132,143,134,147,137,160,153,148,155,163,169,167,151,150,158,136,136,161,153,134,171,163,38,163,163,149,157,163,150,159,155,145,133,165,161,144,140,163,158,113,158,152,166,165,144,163,161,142,137,149,152,136,163,164,155,157,164,149,161,41,156,155,151,162,132,141,164,140,127,168,156,149,36,154,167,149,169,164,160,160,168,156,165,159,151,149,163,164,162,162,138,169,163,134,158,154,146,122,165,149,163,45,158,152,134,163,160,151,148,162,149,143,160,158,153,131,160,170,163,170,148,154,148,173,167,146,141,161,160,159,169,161,152,151,163,145,152,143,166,160,73,14,158,164,157,163,154,164,161,156,157,163,158,166,157,143,160,155,168,157,167,152,139,152,166,166,165,168,165,150,138,161,169,159,162,162,163,153,165,170,168,139,159,168,158,170,170,169,167,165,165,155,131,143,169,158,158,152,133,141,166,146,149,147,151,140,169,170,103,157,163,138,146,141,163,132,167,171,170,166,57,166,154,161,152,159,166,139,165,117,110,107,109,116,115,114,107,110,112,115,109,111,112,115,106,104,107,145,115,115,125,155,132,150,161,164,164,157,165,160,155,160,157,132,153,156,158,155,156,160,163,159,156,160,150,165,45,157,149,138,108,151,84,163,51,142,157,146,99,93,74,73,115,146,163,86,154,102,116,131,142,138,113,75,160,112,74,134,156,153,126,86,110,72,157,169,41,141,153,104,156,107,101,82,109,155,139,160,162,138,126,127,131,83,161,120,153,137,165,162,158,148,164,166,153,159,149,153,149,104,151,162,165,35,154,157,157,161,151,152,154,164,134,162,162,155,164,123,123,113,125,105,118,29,156,132,149,165,147,157,109,150,18,137,26,153,142,147,159,156,165,156,145,125,115,112,91,68,81,66,100,71,102,95,88,132,147,161,166,156,160,144,165,159,128,141,159,161,26,139,146,150,98,138,152,148,158,99,158,160,163,165,153,111,121,121,65,157,134,100,136,151,159,152,158,158,164,169,168,164,166,162,159,161,168,163,164,151,166,159,162,146,141,161,156,143,159,163,152,166,131,165,158,166,161,159,162,172,161,166,123,120,134,152,157,161,122,129,106,138,80,160,154,101,74,70,144,140,145,113,83,153,156,98,150,132,106,72,149,158,162,146,158,139,155,115,146,154,147,92,102,151,158,156,157,159,150,132,149,97,139,138,127,129,141,161,82,156,121,153,66,68,3,149,165,158,43,154,155,156,158,157,51,156,148,153,49,153,151,123,146,160,85,91,90,79,76,86,94,150,96,151,153,159,93,92,159,164,95,100,155,94,126,101,150,113,155,83,79,89,88,81,78,81,69,75,77,99,117,112,28,153,143,161,163,151,148,153,163,158,162,150,139,144,157,165,126,138,78,77,91,96,59,74,67,45,10,29,43,35,38,10,36,8,12,26,23,6,18,27,36,9,18,34,37,33,8,15,6,6,130,22,5,18,21,20,16,25,7,37,47,55,25,7,21,7,22,27,8,40,39,43,44,10,50,14,42,49,44,50,10,21,22,9,8,35,34,31,10,40,49,11,35,18,12,19,10,26,9,100,16,54,162,71,46,12,125,100,126,107,137,129,119,118,126,146,128,131,138,146,132,85,136,122,144,63,18,17,42,154,145,145,45,149,97,19,25,19,161,146,137,158,161,148,146,153,149,153,146,141,158,150,164,154,164,147,52,150,161,26,147,154,160,149,108,23,154,153,152,149,156,155,121,157,155,160,158,162,118,164,163,167,157,165,162,168,165,137,101,135,129,116,132,112,126,120,121,118,127,122,34,19,16,164,154,149,160,161,157,158,149,161,155,152,164,152,30,155,145,152,147,162,162,150,82,89,155,155,169,157,161,154,151,109,73,134,84,92,89,139,163,82,82,165,150,97,84,162,158,165,101,121,122,129,97,157,153,164,156,161,161,168,162,158,154,154,165,162,165,144,165,117,162,158,155,150,167,156,160,166,100,157,152,166,161,155,151,159,138,138,134,98,96,97,109,90,101,82,85,81,159,148,153,146,150,150,145,153,163,152,159,162,150,157,153,145,150,145,160,149,146,154,159,153,142,156,157,149,159,151,164,148,163,123,159,160,164,152,106,150,161,147,154,162,152,159,154,157,167,158,152,169,99,165,158,165,160,161,159,163,156,163,156,161,165,145,163,162,164,160,134,132,126,134,127,120,118,97,151,161,147,146,161,151,161,146,159,142,126,147,72,123,110,138,113,117,38,149,106,145,151,134,92,156,89,137,78,105,134,79,81,142,136,154,163,110,122,142,152,148,133,135,147,141,143,141,87,148,145,141,130,156,111,148,152,161,30,121,141,146,140,152,138,42,141,140,153,159,147,154,150,132,146,113,115,113,117,119,120,121,145,19,154,147,142,144,123,134,160,157,134,155,149,166,147,163,126,160,158,130,163,131,152,158,140,159,164,167,146,167,156,134,155,125,111,164,128,118,160,167,166,137,160,137,158,147,141,167,122,93,156,151,138,169,154,137,163,77,149,161,161,163,164,144,169,124,163,165,133,158,156,167,161,156,144,164,163,156,91,73,168,144,151,167,130,124,152,150,149,163,42,152,147,154,154,114,127,161,151,158,157,164,123,71,145,153,151,158,162,80,155,155,140,149,153,156,103,157,163,155,150,149,150,161,161,159,163,42,146,37,39,113,111,124,118,121,115,111,91,19,161,165,153,153,164,165,170,161,163,158,157,163,161,156,158,168,166,162,164,150,163,160,166,165,167,159,160,160,166,159,168,166,169,164,94,52,11,25,16,161,148,151,152,157,153,144,149,152,154,122,13,157,152,154,155,154,155,97,158,149,152,155,153,155,146,159,145,159,159,141,157,151,160,165,162,162,162,121,13,84,130,147,23,119,152,144,150,154,142,153,157,149,89,91,127,127,116,63,26,158,143,120,154,34,153,152,158,154,138,148,102,147,98,34,150,163,164,103,85,163,158,92,157,100,75,149,141,146,105,18,163,139,159,150,108,111,108,105,163,147,166,141,162,131,168,123,160,145,170,132,166,147,161,146,165,149,140,32,159,163,95,165,165,160,162,154,128,166,162,156,166,147,168,143,162,130,162,155,163,169,145,24,159,149,162,161,154,167,162,156,162,161,161,160,23,154,166,155,122,160,158,164,158,159,160,37,161,159,166,165,168,129,167,165,162,167,62,157,162,165,125,119,129,128,139,152,148,161,162,152,153,112,149,157,156,62,161,169,158,154,159,165,79,13,131,138,140,115,155,32,18,77,153,129,148,145,71,148,137,151,147,155,146,148,47,147,158,145,143,150,119,146,27,151,161,152,150,155,155,89,91,154,151,155,153,141,145,24,140,148,164,152,156,157,142,151,158,83,128,144,133,139,138,133,137,143,133,51,148,161,121,131,139,157,145,151,140,161,154,149,156,19,138,148,149,154,153,156,150,157,153,53,154,23,133,118,153,123,154,26,143,155,40,138,159,159,130,156,140,147,166,164,79,161,144,126,125,124,136,127,125,72,89,83,75,120,69,97,65,92,94,148,146,155,153,139,157,153,155,156,160,141,152,152,148,158,148,146,158,138,140,154,139,145,151,152,156,150,156,157,64,64,124,119,130,133,125,72,27,160,148,157,157,121,140,165,136,161,150,163,163,135,163,147,157,157,154,142,157,161,160,137,147,164,148,124,159,154,149,154,171,150,131,159,147,155,150,156,156,159,152,153,125,162,155,165,140,166,150,152,157,136,153,126,160,145,161,91,137,148,148,141,138,153,136,155,119,164,148,151,163,153,150,157,139,145,97,97,149,157,151,44,26,34,77,49,89,20,42,44,15,32,58,36,34,18,26,56,37,33,44,66,53,34,37,60,39,39,38,71,44,37,136,139,132,61,53,85,100,118,48,51,126,42,25,21,21,99,133,145,57,42,65,76,38,127,92,87,95,119,121,46,14,15,17,18,33,117,47,43,31,78,39,31,46,27,48,50,123,99,58,39,127,77,138,86,115,130,15,78,83,66,19,151,138,169,167,156,146,134,151,128,151,159,149,143,153,157,158,139,145,144,150,163,164,160,157,143,140,167,153,161,155,146,155,82,153,159,135,158,141,141,168,88,163,165,163,134,156,159,160,146,161,153,138,146,167,157,165,159,161,154,155,135,164,139,157,130,132,130,128,157,139,161,149,162,150,158,34,154,74,142,153,143,158,147,146,162,106,151,142,156,134,147,157,129,157,162,143,161,149,145,135,140,155,159,141,151,143,156,142,145,141,152,152,143,146,142,138,155,140,162,155,138,162,144,145,149,156,136,157,134,157,152,150,157,156,140,153,84,160,149,151,153,149,145,151,142,136,147,147,151,142,155,159,151,153,154,156,131,148,129,157,129,150,153,159,148,154,105,160,144,160,116,156,130,143,157,131,143,143,153,145,114,153,141,155,155,161,158,154,156,155,157,160,145,41,132,28,8,10,3,23,105,3,151,128,161,138,19,151,141,136,167,144,151,130,138,157,139,111,16,160,146,154,119,160,142,158,162,61,21,158,132,159,136,155,136,130,143,158,144,115,142,142,124,132,159,139,154,156,143,21,157,132,152,166,148,161,160,151,162,33,121,48,156,158,52,38,140,159,104,42,136,126,161,133,136,163,137,35,145,133,137,98,145,159,161,155,147,79,145,156,145,108,14,124,166,136,152,142,111,143,163,137,19,155,150,23,158,145,149,159,164,142,159,160,136,160,113,102,88,93,97,107,94,100,64,135,35,25,11,3,53,49,155,135,163,150,131,136,126,151,142,167,163,143,153,142,39,152,143,139,144,158,140,142,154,141,156,137,159,142,156,143,133,152,158,146,164,164,135,164,136,159,160,131,169,74,163,147,154,161,128,168,138,148,164,138,24,164,156,131,146,147,150,157,163,148,167,160,129,167,156,162,136,138,159,155,168,140,158,158,146,164,132,132,155,166,159,51,162,163,153,162,119,155,48,160,147,155,156,164,135,163,145,136,162,160,128,157,156,171,126,162,100,159,142,162,160,166,148,168,132,153,122,154,157,149,142,161,20,155,164,139,159,140,152,161,160,149,155,153,154,157,163,105,136,153,160,152,145,94,132,147,164,149,157,153,151,85,152,157,151,68,93,72,156,160,160,115,25,44,115,112,117,115,157,83,15,44,83,152,149,65,77,144,143,140,160,130,132,158,144,122,140,134,156,148,150,143,166,140,166,143,141,160,138,163,138,162,152,143,165,139,154,37,161,142,156,140,154,152,151,168,139,140,146,117,162,137,156,122,166,146,151,158,152,157,139,159,148,148,158,155,151,161,157,159,158,140,163,67,159,140,153,155,140,159,139,152,160,146,146,157,133,161,143,152,148,150,151,156,153,155,147,153,154,136,156,158,160,148,156,164,133,145,162,146,150,162,152,166,164,146,155,156,149,147,165,161,141,159,159,154,153,138,141,165,141,163,160,140,164,160,145,160,151,161,160,158,146,155,145,151,136,151,160,145,164,147,154,162,160,164,157,143,160,154,163,161,98,159,48,156,156,148,153,157,150,165,161,152,136,27,152,148,158,168,149,156,154,161,166,164,134,162,163,130,122,126,132,34,158,134,163,164,147,166,49,125,27,158,130,132,161,143,167,151,168,144,134,69,159,162,158,132,163,146,160,145,150,146,160,157,146,106,164,145,151,162,120,142,157,120,150,164,128,159,130,144,158,153,120,145,130,155,156,163,139,159,154,137,155,139,151,159,129,154,160,149,161,141,151,135,162,163,134,165,151,162,121,167,152,166,159,155,162,158,133,124,120,156,169,154,104,53,133,159,156,141,162,126,149,163,164,150,114,146,160,152,166,162,139,153,164,169,150,97,160,163,157,163,167,148,141,139,168,157,81,167,157,152,165,162,165,154,160,164,150,161,163,65,91,149,131,163,146,134,149,142,154,164,162,142,163,151,155,163,162,130,153,166,154,52,160,156,140,157,148,157,139,158,145,160,161,150,159,162,154,159,151,65,163,161,162,166,154,154,163,170,161,114,82,92,88,100,100,88,121,110,116,113,168,156,159,107,159,146,155,160,154,163,161,156,154,96,73,149,153,153,151,150,156,150,150,162,155,157,151,158,154,155,76,149,161,79,91,122,154,129,156,165,108,156,151,167,82,163,164,158,163,154,127,129,120,128,115,153,142,129,156,154,150,155,27,157,90,28,159,148,131,147,147,143,133,118,93,100,73,104,145,151,142,148,137,155,150,157,114,105,115,123,118,151,157,160,160,156,148,149,149,160,152,91,161,160,114,123,159,156,162,169,102,155,157,128,153,141,157,113,100,161,163,158,159,166,121,119,49,160,159,114,110,149,150,160,161,160,93,124,147,158,166,143,114,139,168,157,162,143,91,15,25,24,160,151,142,158,151,78,12,146,153,164,141,167,131,99,133,111,154,134,17,130,87,82,90,79,96,79,16,155,155,86,81,82,74,158,151,155,163,150,82,148,162,115,156,162,63,117,120,113,120,141,134,128,152,112,149,42,151,148,116,140,149,158,153,137,162,118,143,155,153,138,161,146,27,154,153,156,158,152,163,45,154,152,150,151,156,148,157,158,154,154,40,152,159,155,157,136,148,162,156,146,149,128,110,114,113,109,106,129,111,104,110,105,74,157,145,145,161,165,153,163,160,151,147,159,145,150,149,155,145,162,166,107,151,150,156,153,169,147,148,157,160,165,171,157,166,164,157,161,166,158,167,169,166,158,164,162,147,82,29,131,134,135,141,137,139,133,139,141,147,138,139,144,107,95,165,150,158,153,151,158,116,35,105,89,159,160,120,141,151,97,160,147,129,153,162,142,159,151,162,164,65,33,41,132,128,131,129,157,161,156,145,165,123,87,156,62,132,36,50,60,82,65,76,77,87,155,164,28,163,158,155,164,159,128,158,166,166,170,168,99,84,83,22,136,135,120,108,58,129,156,161,162,150,164,155,155,156,81,131,109,152,154,168,170,137,142,147,142,54,125,120,154,144,47,151,147,154,145,80,142,96,105,151,90,76,143,164,154,38,153,151,160,153,146,126,148,147,132,135,163,125,153,133,155,149,151,164,101,84,98,109,116,127,23,155,160,153,158,148,145,153,155,146,152,150,157,153,160,153,146,144,155,159,141,162,158,161,156,148,155,146,151,165,157,155,144,153,161,150,161,164,150,161,148,52,71,132,131,139,126,138,129,141,133,133,19,11,165,140,118,148,154,158,157,157,152,140,162,161,131,140,145,155,101,153,103,155,155,125,157,53,139,99,75,90,76,137,93,83,88,154,135,98,167,131,91,165,98,161,161,162,91,112,118,115,130,132,130,62,156,155,156,166,59,159,134,147,161,155,140,157,162,163,146,154,166,150,159,163,140,143,157,88,154,156,163,137,150,158,95,102,147,158,153,157,155,154,103,121,116,137,144,151,144,161,157,157,154,153,135,154,139,144,162,161,123,127,122,84,148,160,147,51,155,113,152,158,155,162,154,136,100,156,152,106,88,119,147,150,157,135,144,145,143,143,125,148,138,138,54,110,128,126,147,151,141,166,150,162,143,152,156,119,92,73,128,98,128,110,154,136,142,149,143,161,155,142,151,154,146,82,122,162,162,133,161,123,131,128,122,118,123,55,108,153,152,145,130,168,159,149,127,140,114,131,154,167,171,156,155,149,139,161,166,158,169,155,167,165,154,160,163,137,141,155,141,151,141,162,162,155,146,156,148,156,166,165,153,149,101,151,95,155,154,163,158,145,153,158,122,149,145,146,131,131,112,87,80,66,132,140,147,121,121,119,116,127,145,39,146,149,147,146,120,150,120,133,147,146,104,146,98,156,159,69,20,112,120,140,151,152,159,158,156,160,148,152,148,143,139,144,124,154,132,112,79,116,138,112,149,141,135,82,142,130,145,118,118,149,141,145,119,92,150,121,142,149,117,112,112,112,105,98,114,98,88,110,114,156,143,152,48,141,156,158,156,158,163,151,145,159,146,164,157,161,156,157,153,164,49,158,153,151,155,108,148,155,152,156,167,163,159,164,164,155,162,164,154,161,152,156,167,164,157,161,164,162,152,150,164,155,165,19,150,157,159,162,164,167,168,161,141,146,156,133,126,140,121,133,130,134,132,158,158,158,159,148,88,163,165,115,168,165,164,162,165,128,130,148,139,161,107,13,146,153,148,26,9,148,152,112,155,99,136,126,25,105,159,153,152,96,156,106,146,93,77,153,151,40,95,127,153,162,117,116,114,137,123,28,19,20,162,153,127,158,156,156,147,141,24,151,158,152,163,92,163,152,150,135,152,120,95,164,98,156,103,158,152,152,160,161,49,119,123,123,123,89,154,147,146,161,138,157,167,157,151,155,144,61,163,164,159,163,161,160,156,156,152,156,100,153,164,158,165,154,167,119,125,120,117,118,121,155,31,159,149,161,58,148,158,143,152,149,153,153,155,119,144,159,156,137,97,78,80,103,81,94,82,149,153,160,152,165,111,92,78,108,82,93,80,110,120,108,108,114,154,157,126,22,146,149,145,163,157,151,156,161,164,154,159,158,159,37,146,140,116,160,155,151,163,155,88,155,155,152,162,157,66,128,136,110,145,104,117,157,95,158,160,145,113,137,122,140,138,155,90,146,132,112,82,71,147,166,100,123,111,128,135,123,159,116,159,150,130,80,132,158,153,148,146,142,148,122,145,146,162,138,140,143,154,129,151,106,152,164,157,120,79,154,142,151,142,123,151,128,152,157,138,151,154,146,121,161,44,161,125,160,41,163,133,162,147,151,159,154,112,151,157,160,155,152,158,150,156,126,133,145,129,141,142,124,133,133,108,57,157,167,150,155,153,162,148,112,151,153,148,156,137,133,120,154,109,39,135,134,153,155,154,151,134,117,46,140,110,87,121,124,90,130,155,98,156,162,138,142,94,163,168,137,126,121,123,125,125,133,134,127,132,114,148,155,160,168,165,35,151,119,157,149,148,157,150,128,36,164,153,158,111,38,155,158,154,102,159,118,88,155,152,158,23,160,152,82,106,145,167,92,43,138,160,96,58,128,153,91,64,8,159,153,165,158,134,19,72,84,72,83,72,85,72,84,71,85,84,61,89,84,107,82,98,78,91,102,92,84,118,119,125,107,136,158,143,134,140,158,156,153,137,97,121,137,112,100,110,89,72,145,132,79,118,91,85,72,130,142,100,106,74,73,153,127,76,78,101,78,144,144,128,82,107,81,117,97,147,48,102,73,68,75,75,91,77,154,151,107,118,117,125,119,40,155,160,148,167,142,156,43,148,154,151,153,140,90,160,161,151,158,99,161,154,165,157,92,157,161,163,124,119,95,151,164,124,163,164,157,153,137,165,158,132,119,116,128,126,128,126,71,14,24,19,107,154,151,160,159,163,150,150,155,117,155,159,149,153,159,155,147,156,153,112,158,87,161,162,160,154,160,160,148,156,46,158,160,161,99,151,157,143,143,162,159,147,115,83,89,73,96,72,158,163,96,73,158,161,165,104,23,148,85,80,132,123,115,122,160,148,153,90,153,152,98,116,152,27,149,85,123,146,153,139,137,156,146,36,145,149,129,87,79,157,155,98,144,146,158,161,94,128,119,144,143,119,120,121,96,163,154,148,167,155,35,149,105,133,101,127,26,148,146,164,163,149,154,88,103,156,149,146,157,151,162,157,158,19,139,90,70,74,125,83,142,138,164,135,133,75,86,140,154,142,91,143,163,167,165,122,12,160,152,112,122,95,87,116,77,81,62,51,17,159,112,27,132,143,152,162,124,109,162,137,140,152,124,109,14,158,150,127,109,154,125,109,154,106,143,31,134,107,131,138,94,99,135,91,121,133,151,148,141,122,109,155,153,139,149,120,109,158,156,111,47,109,121,109,118,112,112,124,109,124,72,165,147,164,128,162,147,159,141,165,117,165,150,161,152,165,133,167,139,162,130,126,155,63,148,160,116,15,156,161,163,161,161,167,158,158,30,157,164,141,30,156,112,76,157,92,84,152,75,98,71,88,88,87,92,145,39,162,161,163,165,128,112,116,121,116,158,167,160,156,160,153,156,154,142,156,129,155,134,38,155,67,102,121,92,154,149,149,149,165,151,120,124,115,120,164,165,158,152,117,15,92,126,59,137,119,99,85,90,124,86,25,159,103,104,102,123,134,137,131,149,133,77,9,89,67,69,146,158,125,139,148,144,151,150,41,155,158,138,135,74,151,161,151,144,154,164,152,146,137,141,139,157,136,156,160,158,137,163,147,143,145,142,159,149,136,135,124,132,134,135,88,106,64,93,64,111,86,77,79,55,153,160,142,163,159,157,133,158,116,146,160,135,160,91,98,115,110,121,126,18,166,149,161,150,163,155,159,163,103,155,155,157,160,159,159,159,155,144,168,159,151,163,155,156,135,159,157,154,156,152,155,165,141,142,159,136,160,147,123,119,123,118,121,60,161,130,157,160,146,160,163,31,158,151,152,139,133,156,151,161,166,151,156,102,39,163,149,144,156,154,159,156,154,163,153,145,148,120,84,159,163,155,162,144,162,159,161,153,133,48,125,121,125,125,130,127,127,129,131,28,152,127,112,162,89,18,147,151,83,111,114,116,130,146,148,144,161,154,132,148,152,170,165,43,16,113,117,66,145,152,154,116,78,146,153,136,92,148,151,139,147,131,143,142,151,81,139,101,130,139,140,146,149,85,142,144,103,93,138,150,98,150,118,104,115,114,118,121,128,129,125,118,118,150,137,156,144,159,156,163,148,160,156,143,139,66,136,153,140,140,151,141,138,153,152,52,153,142,150,148,144,162,53,51,111,120,120,115,118,118,133,121,124,115,141,76,150,156,135,164,158,149,89,154,72,160,155,150,117,144,85,29,150,118,155,147,76,71,156,108,94,157,85,159,157,105,132,72,114,125,147,150,26,152,149,126,152,103,130,90,98,151,146,159,143,145,155,157,153,147,152,118,140,141,151,154,142,148,155,155,146,165,151,107,113,110,112,115,118,119,114,124,106,121,119,122,134,54,143,153,155,151,151,140,164,163,152,169,166,162,145,147,159,145,163,152,164,144,142,166,159,155,162,119,152,158,124,160,38,156,154,161,133,157,166,160,170,111,161,150,162,160,149,147,151,146,153,136,163,164,145,162,155,149,159,137,157,138,166,159,129,154,153,153,164,149,150,165,165,160,161,152,147,162,164,165,167,155,157,46,129,23,30,140,129,115,164,140,150,147,147,114,130,167,140,163,126,136,145,141,134,147,126,114,162,71,87,155,155,137,159,149,130,124,165,133,143,166,153,119,161,162,154,158,163,78,155,159,155,158,10,63,160,158,167,162,131,161,149,156,137,147,142,137,133,149,136,164,146,134,159,152,134,95,135,151,154,90,80,80,56,150,150,155,108,157,159,153,159,144,160,150,149,141,115,105,125,119,114,116,115,35,118,156,156,142,154,158,90,155,153,157,163,156,150,166,143,138,145,139,52,10,97,3,168,165,153,155,150,131,163,156,137,164,141,161,165,129,153,159,138,147,163,165,140,147,162,159,146,165,72,10,18,16,164,149,156,146,158,154,147,162,153,158,156,160,164,153,161,151,154,145,168,65,37,93,113,108,113,111,110,32,78,141,142,136,155,140,131,153,152,153,141,157,145,126,127,150,132,45,152,135,138,148,158,162,144,146,140,144,34,143,149,153,160,117,16,136,160,139,145,153,141,18,147,154,146,149,94,11,163,145,142,156,157,149,164,155,148,127,132,149,91,128,153,146,154,167,142,163,161,164,144,145,150,164,148,163,152,150,24,145,159,157,160,150,159,153,154,154,155,34,122,143,101,76,109,16,149,96,74,80,85,86,80,153,148,152,105,163,135,96,74,147,78,62,159,163,83,72,151,80,92,162,159,92,12,163,86,73,158,155,152,149,159,54,122,123,115,111,155,131,149,146,144,139,147,146,149,158,44,155,165,137,135,148,154,157,93,160,139,150,114,94,152,163,164,155,154,162,87,160,150,159,146,70,56,123,124,123,123,134,128,132,70,16,23,20,147,143,156,32,157,159,155,153,154,153,153,59,155,140,162,98,149,136,149,146,146,145,143,148,159,154,147,157,159,138,91,103,113,161,158,57,54,29,37,69,42,114,123,114,120,118,131,130,122,115,126,32,155,155,154,151,152,150,104,159,158,97,149,130,146,138,149,157,158,150,158,113,149,153,156,144,152,144,154,146,150,151,114,98,156,160,147,153,156,151,143,153,153,158,158,122,110,116,118,123,107,124,123,110,115,140,95,83,83,106,135,152,104,45,128,107,97,100,88,100,135,89,97,88,151,159,146,152,152,160,26,141,103,92,149,155,156,110,92,161,112,13,152,100,147,152,110,92,145,150,149,156,154,146,143,140,87,92,92,151,142,148,161,91,138,24,50,119,114,117,122,127,7,158,160,166,162,163,153,164,155,165,160,154,158,153,152,22,32,110,40,22,51,34,26,156,163,143,165,128,122,122,126,73,15,48,112,162,157,159,149,155,158,162,161,151,156,164,158,124,155,152,106,161,129,146,136,138,95,146,151,142,153,143,136,145,165,114,163,163,155,156,147,151,133,146,134,145,135,148,139,162,144,141,154,155,145,161,161,80,82,61,59,72,128,63,70,81,69,73,76,72,87,120,119,20,8,147,147,158,162,98,158,103,160,4,159,119,141,145,143,133,160,134,162,153,169,132,159,138,146,165,165,158,158,151,163,137,160,129,154,136,160,137,160,135,155,150,163,160,134,151,121,139,160,137,159,129,151,139,161,148,160,158,125,157,119,140,132,158,141,162,144,165,134,148,156,145,162,152,162,143,157,153,159,162,154,145,157,159,137,158,148,162,148,164,132,158,157,136,147,143,162,148,160,165,145,158,142,153,144,140,164,148,160,153,156,155,149,158,144,133,159,167,148,159,169,154,162,139,154,140,158,140,162,159,148,154,137,162,155,147,126,151,152,160,145,166,141,150,154,143,163,143,165,128,144,82,159,151,160,160,134,162,158,154,160,147,163,164,157,158,153,164,165,142,135,156,151,153,144,157,140,165,141,158,139,152,136,160,156,157,170,166,169,165,170,167,164,169,150,166,151,161,162,156,169,166,169,169,166,135,159,28,117,136,152,131,147,157,135,158,131,166,140,164,138,157,153,144,147,158,132,142,166,125,140,167,133,141,164,131,141,159,130,137,167,164,136,142,157,152,135,159,166,148,141,146,161,120,140,171,145,147,145,161,155,149,154,158,158,159,153,157,142,138,156,149,170,166,147,159,150,141,161,162,162,156,167,163,130,167,165,33,57,49,53,35,66,109,163,116,157,143,150,160,126,143,80,118,86,81,130,107,88,132,160,131,167,138,121,155,43,144,107,84,74,122,126,94,84,24,116,144,141,156,23,162,161,158,151,152,122,86,79,125,79,164,163,123,118,44,154,150,166,154,144,156,109,151,91,151,157,153,147,147,151,155,161,158,155,153,145,75,156,102,140,161,130,86,164,168,102,109,110,129,120,155,154,154,163,78,103,137,149,112,67,109,52,79,67,51,48,31,44,84,46,148,118,119,115,141,37,153,110,150,152,135,141,155,143,144,169,148,148,160,161,155,131,160,164,150,155,153,131,165,75,160,133,157,162,145,156,165,166,138,127,157,155,153,135,165,162,154,131,166,154,139,155,162,48,9,10,11,16,168,143,153,154,158,150,152,31,157,155,154,124,151,141,161,154,121,127,78,132,148,159,157,155,153,156,160,164,35,152,149,110,157,159,85,73,77,69,157,155,158,153,155,169,153,129,136,130,136,136,145,164,133,124,155,152,156,98,154,147,154,144,152,148,156,143,140,156,51,149,160,162,154,151,154,156,150,155,157,157,154,93,136,123,129,143,144,148,142,114,151,157,160,169,157,93,161,166,162,165,158,99,99,59,156,165,160,163,130,135,151,159,148,165,161,160,149,159,162,99,152,145,142,151,121,147,125,141,148,153,158,139,120,100,103,138,153,130,89,68,122,71,89,79,136,98,126,132,61,164,158,124,14,127,93,73,83,133,128,114,63,99,109,113,73,12,25,11,14,162,152,150,154,150,38,8,146,146,153,149,159,146,103,15,152,35,68,159,158,160,97,83,73,157,17,155,90,64,158,108,81,63,163,160,148,161,62,60,71,74,72,62,83,66,80,59,119,115,121,21,161,156,165,138,158,164,93,140,161,131,143,138,163,110,151,146,139,153,131,159,141,157,138,157,52,74,154,142,146,160,136,165,129,161,138,156,146,91,148,162,144,156,122,157,68,157,138,158,153,155,124,158,168,143,158,157,40,154,80,161,164,152,144,164,158,166,163,164,165,147,171,21,155,163,132,164,166,162,154,164,164,160,161,165,116,161,141,168,154,157,157,161,162,166,164,152,135,136,142,132,123,146,81,66,68,131,160,125,126,100,104,161,122,146,97,139,113,141,149,163,152,90,155,54,139,121,153,152,94,162,163,27,73,85,83,80,71,84,61,86,88,79,80,107,125,160,152,162,163,128,164,143,147,154,160,159,163,38,145,147,91,132,147,125,77,136,75,128,111,154,157,39,9,127,96,79,126,90,136,115,133,146,154,145,162,148,158,167,162,154,153,159,159,162,151,149,156,159,124,123,127,130,117,87,159,139,148,158,162,159,160,169,32,165,81,107,80,164,153,164,156,165,150,156,149,161,103,165,115,121,125,40,32,166,155,159,159,157,157,144,150,162,152,146,153,162,161,116,124,159,126,126,107,75,14,162,123,155,157,155,141,112,156,122,166,152,148,164,63,162,28,159,144,162,164,151,87,113,163,164,155,84,158,78,153,163,157,98,169,164,96,165,161,128,132,115,145,145,76,132,164,166,48,140,75,90,101,137,121,77,73,159,145,162,169,161,164,162,162,103,61,66,151,144,86,64,168,163,168,120,127,113,141,141,110,89,64,159,158,168,168,166,57,162,162,90,164,163,162,164,163,122,17,135,78,84,104,83,160,67,134,134,57,99,71,160,156,160,167,153,157,164,154,160,163,163,154,163,162,160,162,162,162,153,159,162,164,159,160,165,166,155,145,160,160,153,163,164,155,163,157,159,159,85,165,157,157,163,143,103,116,120,120,118,119,116,121,121,94,95,157,165,115,154,156,39,146,155,45,151,90,149,150,149,150,83,86,83,86,81,148,157,98,128,160,116,117,163,50,159,73,147,160,165,171,97,101,92,158,159,162,162,159,155,166,166,158,162,158,162,163,162,156,160,161,161,149,166,162,158,163,155,168,153,157,161,165,167,121,135,124,123,47,156,155,142,151,155,143,107,162,161,141,160,135,149,155,124,97,141,159,147,164,165,164,126,37,17,61,105,148,114,128,116,139,41,163,145,158,147,159,150,143,163,154,164,110,159,164,168,61,3,158,166,153,160,45,139,123,129,134,150,140,161,154,153,150,156,27,158,142,149,156,158,92,121,153,159,137,56,153,96,129,161,38,149,89,141,95,121,46,134,144,148,149,163,160,164,166,103,97,120,113,128,121,74,147,152,151,155,143,27,116,109,130,153,134,110,87,79,94,111,139,94,124,152,152,58,112,118,88,75,83,138,150,150,153,28,147,34,128,150,110,124,147,149,142,117,162,162,132,166,148,138,114,152,153,119,136,164,31,140,78,155,149,155,144,120,117,49,19,136,154,150,165,151,149,157,163,144,162,164,159,164,101,131,134,139,140,154,145,150,140,113,118,154,34,157,155,78,57,106,151,152,108,78,71,89,162,95,93,109,108,111,150,114,120,106,122,121,120,122,9,38,106,159,166,152,132,78,3,84,160,40,143,157,128,97,147,162,156,153,162,117,120,63,77,154,153,141,154,155,152,162,159,148,93,154,151,156,150,148,86,71,151,98,82,87,159,87,73,159,83,141,86,151,79,76,157,168,70,8,6,60,77,78,56,37,122,111,123,120,42,141,154,155,152,94,71,150,156,155,160,159,158,156,88,130,151,94,74,157,154,144,141,152,159,149,144,158,85,70,146,157,163,145,149,149,147,154,150,158,161,152,152,152,48,139,69,120,127,125,142,29,145,158,170,165,80,154,161,155,155,96,160,163,152,156,165,160,164,162,154,165,160,167,166,145,159,137,156,151,161,163,160,167,159,170,161,161,162,160,162,140,138,133,146,132,139,55,119,42,13,3,154,131,133,52,165,152,139,129,158,122,151,139,36,144,159,165,145,153,160,132,162,156,156,144,138,141,45,168,165,151,139,160,150,143,157,164,121,166,142,163,131,162,163,155,153,151,111,131,159,159,131,113,158,154,164,123,105,117,143,167,156,151,151,137,108,87,159,97,105,143,117,109,114,138,153,150,37,152,135,148,151,23,135,153,147,103,49,158,120,132,167,102,92,147,94,163,86,137,155,110,113,114,102,149,155,150,113,13,146,155,149,148,29,152,150,123,129,132,38,125,96,136,149,26,160,153,155,160,125,113,109,112,123,109,25,162,62,149,158,165,159,162,146,153,164,99,17,154,137,145,150,161,145,138,167,86,160,147,106,122,137,142,139,140,148,141,157,90,91,146,149,127,120,115,105,75,162,147,164,143,73,78,70,102,66,89,16,164,117,161,151,126,112,110,120,155,156,155,29,6,151,161,164,150,165,153,166,139,159,153,53,44,141,144,139,14,163,160,153,24,162,137,17,97,146,147,157,141,150,146,100,163,53,151,153,163,151,114,148,151,161,57,133,138,146,135,123,129,126,151,91,133,80,161,107,158,155,156,123,117,123,39,172,144,166,167,168,156,166,172,168,164,169,162,165,166,162,170,168,159,167,168,162,171,167,173,142,128,111,170,155,150,120,146,145,161,28,147,147,144,95,113,135,139,38,152,156,77,75,83,79,82,84,82,82,83,82,83,142,159,162,159,115,113,114,119,144,41,164,154,166,161,152,141,152,143,42,146,143,147,145,147,149,155,150,156,163,157,156,143,157,151,159,143,154,165,157,158,154,154,159,157,156,153,70,63,135,110,129,126,134,130,136,126,128,124,89,164,149,146,152,162,35,146,154,150,155,151,148,48,151,159,29,141,147,142,95,129,29,141,81,103,97,33,146,127,84,66,76,85,90,157,156,157,28,160,110,156,157,156,27,50,33,16,16,84,142,137,136,142,140,82,135,152,142,39,8,155,156,155,104,141,152,106,151,169,130,21,150,144,27,102,153,138,159,39,120,43,143,142,163,153,159,149,162,151,166,147,119,78,98,107,116,85,79,90,51,108,119,122,135,15,165,139,149,167,157,158,117,153,160,151,146,154,159,158,154,157,152,156,153,158,160,73,167,158,163,162,94,158,165,127,126,116,119,126,117,124,118,118,119,116,81,68,144,160,147,151,153,126,110,124,142,149,153,158,157,26,141,106,133,155,128,149,90,146,141,146,43,146,135,67,132,82,136,101,156,160,159,117,117,115,124,118,160,36,157,158,156,164,133,163,165,145,163,160,161,167,148,157,158,166,163,168,150,164,141,21,36,123,138,118,134,133,115,126,124,155,140,155,149,138,159,164,143,144,154,155,153,159,163,160,107,22,165,104,18,159,144,54,157,116,159,119,162,111,92,134,164,132,145,140,157,142,151,160,50,146,151,138,160,143,144,154,148,160,162,138,154,87,163,150,113,12,141,141,132,135,139,135,116,126,136,140,134,132,60,162,43,20,165,164,162,162,165,165,161,167,163,151,161,162,168,165,157,150,153,163,73,160,155,161,161,161,158,118,22,24,77,34,131,130,126,134,131,137,136,159,155,156,150,157,136,157,151,140,158,162,146,146,161,123,161,133,148,158,151,141,153,159,155,169,141,145,158,149,155,156,157,145,153,131,146,157,146,160,160,146,153,137,117,140,111,94,152,91,86,70,77,152,148,156,124,111,117,76,95,142,137,68,7,139,144,147,151,149,149,158,151,158,157,144,162,154,149,152,147,152,157,153,159,164,164,151,156,162,157,155,153,154,160,136,159,160,163,156,166,91,53,164,115,109,159,38,82,143,86,32,143,142,123,105,125,104,157,156,162,164,167,159,165,162,54,56,152,149,158,152,157,158,161,154,155,152,161,161,138,154,158,140,136,154,151,152,157,151,158,160,130,78,15,164,152,158,164,151,154,121,165,155,153,167,163,156,140,151,127,151,155,144,169,167,137,161,167,126,113,157,160,124,157,154,162,155,168,151,153,156,143,161,161,127,144,162,122,158,139,153,159,155,143,156,149,152,121,161,135,158,148,53,155,162,31,147,136,49,159,153,126,155,141,165,138,159,128,145,164,128,123,150,158,139,135,169,128,130,136,156,127,147,168,161,156,112,141,158,169,141,151,146,163,132,151,142,130,43,156,131,169,99,144,150,137,155,132,156,148,38,162,150,157,137,160,161,163,137,164,163,147,167,146,135,165,140,148,34,37,158,105,17,162,112,166,152,118,158,135,149,142,155,68,161,128,128,98,161,129,162,153,143,141,158,131,155,159,168,101,17,141,149,118,160,143,126,157,115,144,144,148,154,159,149,159,159,159,127,152,138,156,146,18,40,165,122,153,149,149,168,158,166,172,148,164,159,169,147,166,158,166,129,171,159,29,156,163,136,18,164,116,164,135,129,166,145,148,119,155,164,150,144,144,157,140,143,130,155,142,158,159,147,163,157,150,155,157,142,16,164,159,156,136,159,92,163,165,161,152,165,157,166,157,163,168,164,172,147,168,165,165,168,131,165,135,161,159,160,154,155,164,169,148,70,151,156,164,59,156,112,153,149,128,156,115,153,140,162,163,144,153,146,129,118,22,155,167,147,164,151,163,152,162,134,158,162,135,159,123,150,153,130,164,161,161,127,146,167,153,134,159,160,166,151,163,155,160,155,132,165,37,165,136,154,160,153,162,130,165,147,173,160,161,164,149,156,49,144,153,154,163,148,152,163,151,151,157,146,50,158,134,156,149,151,159,145,149,152,153,168,156,147,161,150,160,166,166,163,49,156,157,149,166,161,159,160,160,148,129,159,148,151,172,144,168,159,146,169,158,156,150,159,160,162,164,132,160,115,159,153,172,164,50,165,36,137,34,166,150,151,134,153,158,153,134,162,157,165,120,16,153,135,154,159,160,88,157,155,151,144,158,157,147,162,155,31,166,147,150,148,161,159,151,165,154,159,164,167,152,160,154,165,157,152,161,148,166,157,152,159,163,159,162,157,157,123,17,164,151,167,149,155,155,146,163,163,145,29,160,149,162,158,49,162,138,163,40,76,155,151,167,58,141,135,79,157,161,150,37,159,155,162,155,166,165,125,160,165,163,124,154,32,143,155,28,156,165,157,164,141,166,41,123,20,144,161,164,152,160,149,160,150,144,33,59,156,143,160,162,135,164,30,41,105,117,126,122,140,134,130,61,53,123,116,125,121,113,114,114,112,20,129,127,131,122,40,129,40,119,122,128,126,132,132,133,116,131,125,123,119,122,123,123,123,141,127,127,121,127,121,135,130,125,119,125,136,125,121,133,124,125,141,137,137,141,144,132,144,142,148,139,158,153,161,121,151,157,125,154,125,114,153,140,164,132,166,135,148,147,159,58,158,111,157,165,133,156,166,156,163,159,157,156,137,155,160,135,161,166,96,166,152,163,137,135,132,135,132,141,19,160,150,143,149,152,150,138,150,139,156,152,138,107,162,132,155,123,142,142,161,124,74,156,142,110,157,116,143,150,164,162,166,132,154,151,141,81,150,118,159,158,156,153,166,141,140,161,129,159,89,162,155,169,158,137,86,81,78,90,88,97,77,94,65,86,103,92,72,82,58,120,70,83,102,89,69,82,105,105,115,92,67,88,99,90,160,155,154,156,66,153,151,152,160,157,149,65,144,35,160,148,161,152,122,31,149,162,158,150,159,145,149,138,107,114,110,126,115,141,150,121,144,135,160,159,96,159,153,101,103,161,151,138,147,160,165,86,23,164,145,157,133,166,158,136,152,161,142,144,141,141,152,143,161,151,168,157,164,154,163,154,141,163,131,170,151,165,161,164,163,161,162,136,163,155,165,152,146,164,151,163,136,158,161,160,162,161,133,163,145,153,166,161,151,166,135,161,163,26,151,153,157,151,137,164,166,149,145,159,147,168,147,137,31,162,167,166,163,167,159,155,169,163,149,163,157,163,169,164,149,95,78,62,157,120,101,45,145,10,160,79,139,138,124,159,137,141,143,159,137,154,164,144,148,162,153,127,165,151,146,152,133,157,136,145,159,132,156,152,162,141,162,131,114,158,130,163,116,142,163,131,146,167,127,157,156,134,152,144,163,157,116,159,149,141,160,159,146,129,147,160,156,135,132,156,123,148,156,130,52,140,155,136,145,154,149,161,147,158,161,149,154,138,115,167,38,159,155,164,154,163,160,168,173,69,167,119,149,172,167,165,137,173,137,131,121,136,154,135,154,149,159,28,151,121,148,160,32,151,146,148,154,150,139,141,158,149,152,136,152,157,154,152,152,146,138,137,18,148,158,145,151,117,147,60,33,116,120,119,119,110,127,148,143,156,91,157,155,147,143,136,127,29,151,148,151,148,96,112,159,154,101,154,78,153,159,154,102,42,51,31,32,8,11,9,28,120,123,115,119,116,125,113,108,44,161,144,154,158,156,155,160,34,160,87,161,149,83,115,157,161,121,133,158,158,93,83,93,60,154,147,159,158,160,159,155,164,159,163,24,28,40,18,13,9,28,134,132,131,126,131,48,157,139,137,163,155,144,149,102,148,149,111,151,126,96,146,71,158,129,142,113,145,86,79,157,154,47,104,116,122,65,151,152,155,157,157,34,153,122,157,152,148,159,148,131,164,149,42,162,154,149,158,106,123,122,148,147,79,163,168,154,161,125,118,121,128,91,155,155,161,148,140,156,128,92,141,138,160,111,158,162,87,137,147,142,134,60,81,83,136,140,137,160,158,119,83,134,153,148,135,149,143,32,30,129,155,148,152,145,151,91,97,75,84,159,150,155,158,164,161,117,57,13,147,158,157,153,37,162,162,160,162,152,128,161,155,158,94,150,155,81,69,143,153,95,96,108,127,103,108,97,98,119,107,93,134,162,152,101,96,142,85,158,71,155,95,96,150,155,65,127,127,125,125,131,100,84,19,88,121,100,34,161,153,152,41,77,148,142,161,97,103,125,47,164,159,166,163,83,156,152,94,159,121,103,155,158,157,28,53,52,129,129,135,137,109,160,140,140,36,165,140,144,143,154,136,153,162,134,18,157,154,151,133,163,157,166,154,137,159,143,146,148,167,133,152,131,161,158,123,35,167,137,160,161,153,140,149,143,149,117,154,145,159,125,153,135,165,150,157,129,130,129,142,156,160,150,151,153,145,73,163,120,156,144,156,81,115,135,111,132,141,128,132,138,149,133,158,99,126,82,140,157,138,164,131,155,144,154,128,168,130,163,130,133,146,133,166,123,143,117,143,129,102,163,139,144,143,111,161,140,138,151,155,147,123,170,150,152,148,157,141,135,143,143,145,169,165,166,157,129,165,123,168,161,158,131,163,163,150,149,172,146,157,169,135,151,165,151,10,47,155,149,150,158,151,161,44,112,128,116,98,106,125,136,117,82,103,113,101,103,67,91,102,156,100,120,148,29,159,155,21,96,87,93,88,111,121,66,122,43,13,3,79,21,142,146,149,166,152,158,142,139,137,167,132,160,151,145,140,116,154,148,163,85,144,89,167,153,159,145,153,145,140,145,157,146,128,142,160,142,164,145,162,164,155,142,15,120,163,162,162,148,155,137,127,152,121,157,151,140,153,153,158,164,143,158,90,112,171,58,152,160,70,22,155,160,4,157,150,93,76,121,136,151,167,135,127,151,133,142,151,136,151,135,151,157,153,145,161,134,142,160,157,156,142,141,163,154,127,148,150,131,144,157,154,162,157,121,144,146,151,147,139,141,153,93,129,132,157,80,152,115,149,156,148,148,139,162,131,152,155,147,158,134,155,147,134,149,149,130,129,152,130,137,163,123,153,140,162,147,150,159,142,143,46,140,155,136,134,129,154,138,141,142,164,141,151,154,141,125,141,153,152,131,147,161,154,139,145,147,131,161,126,160,135,146,161,162,121,40,150,133,137,157,136,158,139,156,144,142,146,141,147,140,156,138,162,159,150,139,153,161,136,156,157,132,150,138,131,132,141,150,141,135,154,143,159,167,149,138,151,155,161,151,151,163,140,155,155,129,162,157,125,163,155,120,123,165,139,132,150,27,156,147,142,153,161,156,150,137,166,88,101,86,142,142,124,33,157,144,141,147,156,132,122,152,124,152,94,150,136,154,123,162,146,158,148,134,166,147,102,150,138,136,157,152,144,154,137,153,150,134,136,169,161,164,161,134,148,152,162,82,110,64,150,80,102,155,90,99,160,154,163,133,118,121,136,138,144,117,141,32,153,148,150,161,27,149,147,160,159,139,142,152,155,154,32,153,166,144,105,148,102,123,144,153,109,120,73,72,88,68,126,163,150,167,150,78,115,119,115,116,118,112,117,100,17,25,24,160,159,125,157,155,149,160,145,156,125,158,161,162,161,156,156,155,156,157,164,154,99,118,163,91,92,158,159,145,164,161,100,160,163,95,166,90,154,139,66,84,66,82,163,156,160,149,163,162,102,93,85,78,117,122,75,119,79,23,160,123,103,152,155,160,103,159,161,165,166,167,142,163,135,167,153,159,149,145,76,165,150,94,154,149,157,157,162,24,154,160,162,159,143,158,153,159,159,28,160,158,165,153,149,155,132,94,148,160,160,159,158,162,152,151,156,164,118,140,145,132,138,136,23,168,87,39,165,168,150,171,175,174,169,167,171,164,171,168,166,168,169,154,172,170,161,22,163,146,154,69,146,166,144,165,157,163,162,162,155,165,170,121,81,162,160,171,160,162,158,158,162,153,160,148,168,167,135,153,114,99,166,160,166,169,151,157,163,158,118,162,122,153,166,148,161,132,148,136,84,136,128,158,165,153,155,167,150,167,153,153,156,155,127,155,160,136,148,159,168,140,161,134,162,159,131,154,154,158,151,130,166,156,126,172,164,148,153,154,150,151,161,161,159,142,156,164,140,169,137,163,162,162,151,163,134,159,166,163,165,117,21,25,12,19,111,162,130,139,151,156,144,146,154,155,162,155,155,156,92,160,162,147,159,85,145,140,153,156,91,98,102,152,88,147,158,150,122,92,76,158,153,164,158,76,151,153,161,96,41,11,7,147,156,148,87,160,93,91,156,134,71,120,134,123,121,63,13,25,17,165,158,137,153,160,153,130,162,157,154,126,156,41,77,85,99,118,160,130,149,134,128,16,86,162,131,24,27,86,69,99,137,144,52,106,110,117,115,81,156,26,149,144,132,158,108,149,158,143,146,154,122,157,154,156,150,144,67,149,152,146,160,144,132,152,94,159,155,164,149,136,153,152,150,151,153,139,160,147,113,97,120,88,133,157,72,164,165,127,121,112,130,38,145,75,163,157,164,139,151,146,160,154,167,161,154,165,149,164,125,169,137,168,161,161,115,164,153,160,149,56,164,156,163,161,157,150,164,155,156,153,153,103,45,102,79,103,70,94,105,105,134,92,113,116,125,88,80,66,123,96,152,128,145,80,78,114,80,158,164,125,101,12,97,85,98,88,93,96,77,22,166,88,67,116,162,159,162,160,133,107,118,159,161,153,124,148,148,163,162,165,157,165,164,160,60,48,122,120,122,138,158,138,147,147,163,163,25,163,164,151,163,166,166,161,84,76,78,77,100,149,160,159,160,159,167,158,124,163,161,166,122,117,123,127,146,151,160,142,154,154,112,75,68,78,73,65,150,154,138,156,135,16,45,100,90,138,126,133,161,165,154,129,160,141,161,157,140,145,163,147,123,129,162,159,144,130,161,158,41,136,155,156,141,136,154,140,162,144,160,121,150,158,36,161,153,137,151,140,156,124,150,129,127,149,136,158,164,155,133,155,162,169,117,137,157,162,157,152,162,163,162,166,162,171,160,118,130,52,61,161,144,125,158,108,26,165,146,161,65,158,126,114,141,149,159,129,154,116,18,161,132,157,83,158,128,158,150,133,154,144,39,112,155,155,160,144,121,165,166,157,129,160,146,164,150,160,158,146,160,131,162,156,131,161,154,169,123,62,157,31,15,162,156,144,159,46,150,141,162,161,152,114,12,151,150,148,83,72,79,67,148,153,163,163,135,150,111,15,156,77,71,65,156,162,151,143,169,163,162,98,67,123,126,115,119,50,99,63,72,75,12,69,66,17,72,65,158,124,162,147,151,152,156,153,145,132,18,149,161,146,158,152,56,159,80,154,99,86,163,133,163,92,158,162,109,164,93,108,112,112,109,24,153,158,155,149,29,161,161,163,144,157,152,118,159,149,151,165,132,158,121,164,122,35,161,157,164,148,138,156,152,160,137,156,155,133,120,143,156,160,159,160,140,156,153,151,157,158,153,134,157,139,160,141,150,152,40,137,142,140,99,102,109,120,130,101,84,68,150,155,152,142,135,112,137,91,133,134,134,146,149,150,139,149,156,135,43,153,32,142,157,124,160,142,133,161,35,153,67,83,107,73,149,157,109,116,135,150,152,149,162,165,166,165,160,141,116,120,120,115,114,121,84,158,23,32,65,147,156,55,6,159,143,151,73,157,162,159,159,152,153,150,73,156,168,167,142,158,159,151,163,110,119,107,62,22,58,127,47,96,12,3,147,155,163,143,151,161,158,171,145,168,166,165,144,48,165,156,165,162,139,165,157,160,165,169,157,157,45,10,29,43,35,38,10,36,8,12,26,23,6,18,27,36,9,18,34,37,33,8,15,6,6,130,22,5,18,21,20,16,25,7,37,47,55,25,7,21,7,22,27,8,40,39,43,44,10,50,14,42,49,44,50,10,21,22,9,8,35,34,31,10,40,49,11,35,18,12,19,10,26,9,101,18,49,150,73,48,12,121,80,6,123,108,127,131,134,120,123,132,120,125,129,46,18,65,148,149,155,103,153,148,149,157,164,155,156,162,159,156,151,161,151,122,164,168,151,150,160,102,169,157,162,160,154,163,163,153,162,163,166,157,170,149,161,163,165,164,158,163,133,152,145,161,147,167,142,161,167,166,167,170,52,167,140,154,163,150,161,165,162,159,164,166,144,165,159,125,162,135,163,157,141,153,138,144,96,142,145,154,125,14,29,145,108,81,12,143,159,27,151,156,134,116,123,164,166,172,169,166,170,171,166,171,170,171,167,166,157,158,140,100,172,171,171,147,152,43,26,151,163,142,158,157,171,37,165,154,159,166,159,164,157,155,153,154,166,169,170,165,163,147,144,161,140,103,167,166,130,155,166,141,165,38,158,159,157,101,27,38,126,119,93,123,99,161,34,151,149,143,144,139,143,143,144,146,152,143,123,102,94,157,119,154,90,120,141,143,144,87,85,163,158,148,82,20,144,65,113,110,106,107,118,116,107,56,10,54,84,51,101,35,114,124,146,14,36,13,8,12,14,9,93,69,92,52,60,29,24,43,13,19,22,14,29,22,18,16,128,160,158,167,162,150,159,158,150,156,161,152,163,127,121,116,124,121,63,164,153,111,39,136,146,139,103,142,155,150,148,145,151,74,136,106,106,115,158,73,144,156,146,141,66,70,152,157,154,129,151,130,114,116,158,140,81,168,124,156,138,146,154,162,157,151,137,145,148,149,145,94,8,167,107,111,113,100,154,119,154,162,149,24,24,160,161,162,166,153,165,99,109,166,165,103,120,153,160,154,100,158,158,157,98,159,123,77,85,76,155,169,168,157,164,163,120,130,113,109,124,114,34,127,150,56,154,156,156,42,159,27,148,142,126,83,155,127,90,151,161,159,146,131,93,67,163,37,131,154,149,150,157,156,117,158,152,117,165,129,141,145,163,155,127,150,131,112,152,135,165,166,64,46,15,122,121,118,120,134,66,153,156,158,163,163,135,159,145,151,153,156,156,117,80,62,157,108,141,161,82,100,81,157,152,143,155,72,72,85,87,72,155,73,140,94,96,107,110,106,109,23,23,129,145,95,157,158,167,171,166,175,108,90,171,170,155,77,148,105,38,27,161,96,139,48,144,139,151,128,132,146,159,123,152,130,171,146,135,156,153,156,67,163,131,154,143,164,141,158,147,153,157,158,91,70,163,155,156,162,148,115,147,137,161,142,131,134,127,115,37,162,66,154,145,144,143,162,154,151,161,55,159,148,136,100,130,151,108,114,95,154,96,152,151,148,155,121,14,117,159,126,144,140,145,155,160,42,141,70,86,120,54,134,120,109,121,137,23,109,159,82,74,139,162,159,160,155,162,151,152,145,134,161,157,39,145,128,161,142,101,78,99,79,15,130,156,144,164,102,118,131,113,96,76,24,8,22,18,20,46,21,165,169,164,164,48,158,162,54,134,158,158,160,159,159,155,31,153,165,51,161,147,155,153,149,158,155,164,158,162,157,125,125,111,149,145,152,135,160,150,153,147,157,156,26,153,91,144,144,158,160,145,125,156,152,116,147,148,157,138,64,141,120,134,125,129,139,131,123,63,45,152,164,97,173,174,166,171,76,168,168,170,175,76,113,174,169,76,99,174,167,113,46,168,165,175,165,163,25,152,165,159,156,164,168,170,168,169,170,169,169,165,169,170,131,164,169,103,172,167,155,169,102,161,166,172,152,171,158,160,170,167,151,163,171,172,144,148,118,147,160,143,160,44,146,153,136,150,162,159,132,144,159,160,159,148,125,150,165,165,119,126,122,116,70,155,148,152,143,159,34,159,159,153,102,160,110,38,144,102,134,145,92,129,162,155,161,164,151,118,27,40,13,28,7,11,9,12,100,132,136,66,56,151,152,163,140,160,149,158,103,147,107,60,156,161,156,160,159,158,164,162,164,153,142,159,35,36,109,131,151,36,128,34,52,135,33,159,76,151,123,155,127,104,160,135,137,169,162,162,147,166,160,141,160,120,154,151,116,162,167,120,150,158,134,159,162,134,156,154,130,162,148,111,163,168,67,161,49,58,151,133,150,124,147,102,91,97,116,152,154,20,162,105,86,82,100,75,103,68,90,145,145,152,145,149,157,146,158,148,148,155,154,42,80,137,154,123,124,119,121,106,60,169,164,161,107,22,12,161,162,147,149,164,153,170,35,152,150,167,153,168,173,166,166,145,163,143,163,158,157,169,165,143,30,10,167,146,161,159,159,170,154,169,21,148,157,171,153,157,145,172,147,168,166,146,171,172,128,161,161,145,148,156,161,157,146,151,153,142,142,151,147,161,147,155,141,143,145,160,158,145,150,165,36,143,148,160,162,152,155,158,152,154,158,152,123,130,128,127,126,125,130,44,154,73,106,146,142,149,163,136,139,146,149,156,145,93,40,141,151,71,81,99,159,176,158,138,163,89,139,140,138,141,135,95,11,15,15,11,161,21,143,159,149,161,162,38,138,156,136,158,136,158,37,139,149,151,153,155,149,43,151,144,153,152,51,157,162,162,101,114,116,112,124,112,118,112,54,78,157,157,48,35,148,147,142,164,162,161,152,164,153,158,133,131,147,157,151,161,156,159,148,130,170,162,139,161,144,156,153,142,162,122,167,158,150,158,134,152,157,146,166,148,150,163,132,166,162,137,169,163,120,164,137,159,142,166,140,142,147,131,164,143,143,144,128,161,130,158,112,157,164,164,132,165,165,145,155,166,167,143,162,164,166,143,166,162,162,19,158,148,152,160,156,160,152,161,150,160,160,158,156,152,160,155,166,156,155,159,139,157,162,152,148,157,155,156,161,160,147,160,153,161,158,160,155,159,155,134,134,135,136,137,86,149,133,151,153,150,156,158,164,157,160,163,110,113,159,163,160,127,167,151,160,156,131,151,163,164,146,131,168,153,159,157,146,161,145,62,149,146,109,151,149,148,147,38,133,91,129,140,138,17,130,75,154,161,157,91,100,150,150,159,153,151,152,137,151,146,137,143,156,58,157,160,159,147,144,146,21,112,88,154,134,93,71,93,130,52,155,163,45,131,155,118,142,157,147,155,144,164,137,137,162,126,143,166,153,141,165,159,153,145,156,146,162,150,148,128,135,156,153,156,148,144,163,162,156,164,169,143,162,156,61,118,39,40,157,140,137,160,144,155,170,154,156,131,160,143,153,142,85,145,140,161,128,167,135,155,148,147,156,159,158,130,146,144,132,151,125,153,123,164,163,127,138,148,144,130,134,138,154,140,146,133,145,118,140,140,56,153,68,158,129,142,128,168,144,129,129,130,136,141,135,141,151,131,126,146,143,167,138,151,150,123,156,140,149,150,139,137,128,158,132,142,145,129,162,137,143,64,160,137,149,139,151,45,154,151,125,28,142,157,131,148,154,140,18,137,75,93,129,160,160,115,127,154,149,155,158,153,140,147,149,136,80,134,128,144,161,146,151,143,145,76,157,152,155,160,98,165,153,119,101,160,156,130,129,140,150,115,159,147,132,25,159,127,146,156,151,160,160,163,166,164,167,121,164,132,143,141,147,165,159,159,155,153,155,165,156,163,164,164,165,171,165,172,161,86,148,136,146,149,79,9,99,143,136,140,159,154,154,145,16,149,152,132,147,156,125,87,92,113,127,70,56,32,163,116,32,14,52,81,67,53,30,24,39,12,19,22,14,29,22,18,16,123,168,167,155,171,149,163,153,167,153,136,158,145,165,153,156,160,161,142,157,149,164,165,139,164,155,168,165,153,21,161,116,17,142,164,166,159,144,162,21,150,163,165,91,159,124,159,148,27,157,152,154,92,81,157,165,142,129,129,121,14,149,144,161,156,155,24,156,161,161,163,149,135,156,161,163,162,153,160,169,158,128,147,42,76,163,147,167,158,156,165,166,153,168,167,136,165,144,165,134,170,169,125,169,133,171,160,162,163,157,167,143,136,159,164,168,165,170,135,166,161,164,145,168,151,164,138,162,147,159,145,163,165,137,158,51,136,150,158,152,158,155,151,141,147,144,151,157,163,149,153,165,139,131,159,157,57,146,135,123,155,162,149,136,152,149,147,152,143,157,140,155,148,143,35,155,148,160,135,160,166,155,159,164,158,157,162,151,157,134,112,150,136,140,128,131,156,148,153,127,162,167,160,144,163,146,143,165,132,165,121,161,164,137,165,126,153,150,101,163,53,29,153,164,161,154,148,21,104,148,115,116,129,45,152,130,83,138,114,75,89,85,69,3,119,101,126,135,121,14,156,72,164,138,130,164,167,163,167,127,124,148,141,146,153,139,84,95,132,159,148,159,161,160,58,96,143,163,155,163,160,164,161,157,164,154,167,118,129,36,86,25,164,163,130,144,167,148,133,113,148,146,139,145,165,142,147,164,136,161,159,152,157,147,142,158,141,156,143,124,150,160,144,134,137,139,163,158,124,170,162,146,164,153,127,159,165,154,143,38,163,45,36,29,73,152,137,130,100,126,119,141,151,138,36,140,156,136,156,150,151,145,157,132,156,162,131,144,144,141,137,155,145,151,159,123,127,157,152,150,154,160,142,165,150,159,163,141,162,145,162,102,158,139,145,161,132,142,145,153,163,147,161,146,140,158,149,147,166,134,160,42,166,167,178,164,171,174,171,178,86,159,165,124,15,171,166,73,172,97,16,160,88,56,80,58,166,151,164,158,169,122,177,132,111,105,162,139,153,153,161,153,163,157,150,153,159,163,162,163,163,159,158,160,162,160,152,169,160,156,161,163,147,155,157,131,122,126,133,127,130,160,171,136,56,146,143,159,142,137,137,149,164,162,134,156,132,148,161,139,134,140,165,129,160,157,135,160,155,126,164,166,127,161,164,121,162,153,140,165,142,141,163,143,161,135,9,131,151,75,91,133,134,137,160,141,159,153,150,164,146,164,158,149,163,151,163,150,150,147,139,123,139,144,111,158,145,136,144,161,93,153,153,126,157,146,147,157,145,164,145,143,156,132,160,149,154,154,153,154,59,162,135,150,152,149,158,150,153,158,148,149,137,142,162,147,165,129,158,117,159,160,156,157,155,125,164,164,137,163,150,141,161,107,127,137,162,142,19,155,140,139,135,163,94,160,161,149,138,146,156,149,49,113,154,91,148,154,167,148,135,127,137,79,144,162,152,147,146,146,138,156,163,158,142,163,154,163,147,163,150,132,160,146,163,163,159,148,165,162,167,168,164,143,165,137,161,151,158,167,169,149,161,154,149,158,146,148,167,162,166,153,164,156,168,161,151,154,168,46,132,43,157,106,149,126,152,64,65,164,154,159,165,163,160,136,152,147,112,147,157,150,133,161,159,154,138,144,152,115,130,101,134,153,159,84,147,137,150,154,149,153,165,141,96,88,72,81,71,100,66,49,78,55,67,50,79,70,76,69,140,94,31,156,138,117,167,147,160,118,161,128,143,159,148,157,145,152,163,144,127,166,106,164,150,168,142,144,134,156,160,134,130,166,125,160,148,145,147,143,158,134,164,170,166,158,157,164,132,158,161,161,153,144,121,144,162,160,151,160,165,167,154,153,160,163,160,163,90,79,84,144,122,151,146,146,159,33,151,153,161,157,164,130,163,159,60,126,115,151,158,156,118,146,158,113,36,105,60,67,68,92,129,155,141,141,148,146,157,152,153,164,145,150,157,165,38,161,157,162,165,147,141,136,143,135,163,144,151,122,143,127,146,156,36,8,157,144,144,140,152,151,163,26,158,140,159,147,158,164,160,139,165,159,144,19,155,160,121,157,142,99,14,157,152,159,167,148,26,15,148,151,153,162,159,151,140,156,128,20,160,163,121,14,154,160,161,54,164,155,147,166,151,128,158,157,148,39,132,167,156,154,148,147,158,146,157,146,26,160,163,158,164,142,155,142,149,129,142,163,163,162,155,94,151,161,147,166,146,151,44,106,107,133,28,157,146,159,119,99,154,117,98,104,88,113,109,162,121,98,82,97,96,166,133,104,114,99,107,3,110,161,160,128,138,106,89,145,85,111,79,82,85,35,97,96,80,52,109,110,119,112,143,66,124,159,148,156,161,160,161,162,167,128,164,166,134,162,142,164,145,164,158,169,160,150,161,164,157,168,165,172,162,160,153,171,164,125,115,120,32,151,167,176,180,179,171,173,178,133,171,175,171,172,159,89,171,162,165,172,172,174,29,171,166,166,172,168,152,175,164,175,173,173,178,178,119,116,143,153,20,169,171,165,76,164,168,171,168,81,165,172,165,165,170,165,157,105,167,169,165,172,169,168,169,159,143,134,87,161,153,154,147,151,156,161,50,13,17,157,165,138,158,141,147,147,155,53,163,152,160,146,157,141,159,144,167,167,155,53,160,154,52,154,151,137,157,139,157,147,160,143,170,162,140,37,158,153,172,140,162,156,157,161,135,164,156,146,145,155,151,137,129,164,155,152,169,156,41,22,161,144,131,146,150,152,152,151,150,152,45,167,141,159,162,139,136,149,167,126,158,120,158,153,71,19,176,148,164,131,144,152,153,141,163,120,157,163,162,154,169,140,165,153,154,110,147,96,129,152,153,155,148,157,112,148,86,94,121,143,144,129,117,86,128,146,151,133,159,160,163,127,117,116,116,117,112,152,86,20,77,86,84,87,89,171,160,168,178,170,171,174,170,123,91,174,175,98,21,175,175,171,165,123,166,37,164,105,165,134,165,173,143,165,173,3,111,152,180,75,43,69,51,122,26,166,155,167,174,166,170,170,169,169,167,167,167,164,173,167,173,174,164,165,153,164,33,172,165,122,168,168,173,170,165,170,173,138,135,114,82,109,79,157,143,158,138,120,146,142,161,155,161,127,164,167,125,112,153,129,151,73,159,161,153,146,153,152,140,150,152,156,164,147,152,155,152,151,168,160,149,152,150,162,165,139,110,161,160,148,139,158,127,154,161,162,149,154,168,134,164,144,166,146,164,130,152,151,163,148,165,143,129,151,120,160,157,131,163,139,167,151,162,160,154,142,153,133,160,156,138,156,142,163,155,117,160,152,155,163,164,136,157,132,167,115,165,132,154,152,122,131,160,159,157,162,124,162,149,161,143,149,125,147,149,161,119,143,159,144,148,147,149,146,157,156,129,160,167,165,163,50,77,121,120,123,120,119,44,83,30,151,116,141,129,144,153,149,120,123,165,150,133,138,154,121,117,154,166,149,136,130,162,161,161,156,154,113,161,141,144,139,161,150,131,138,127,151,154,132,116,134,167,158,159,157,154,137,143,164,169,163,134,133,142,134,159,145,154,126,151,152,153,157,147,128,102,141,153,155,144,165,160,145,135,105,128,156,161,141,142,127,131,160,159,167,154,141,141,132,147,162,140,157,172,153,126,134,148,161,156,65,69,15,69,123,129,150,101,50,80,9,99,24,14,95,68,34,38,40,26,23,47,14,19,22,15,29,21,18,16,61,19,90,48,71,144,161,161,31,151,147,143,144,157,155,147,158,133,158,150,152,162,153,154,113,148,158,144,84,163,141,144,156,155,155,162,143,148,147,97,150,139,158,163,153,151,152,146,162,147,162,75,161,152,146,160,146,168,152,144,134,141,144,164,167,161,155,150,152,145,144,65,147,143,96,142,151,154,145,154,153,145,146,152,164,154,148,160,146,156,160,157,154,158,148,148,152,153,157,150,151,153,158,153,162,152,155,162,148,154,147,149,153,149,162,156,152,155,153,140,147,144,162,163,147,157,145,141,160,141,85,107,147,48,157,131,152,158,80,46,67,123,26,11,85,105,144,97,57,159,116,20,154,163,78,45,147,125,79,13,157,163,168,161,164,154,21,161,148,111,110,159,156,68,34,157,42,81,90,164,152,24,161,46,163,52,10,163,44,123,157,165,159,164,89,149,61,12,159,152,24,159,132,162,67,162,92,138,160,117,50,13,140,34,161,34,162,164,23,159,158,112,18,145,97,162,167,165,48,153,18,124,125,127,129,126,125,130,101,119,33,148,142,106,119,131,30,117,125,129,116,128,108,89,94,129,95,122,130,101,86,82,86,124,127,96,88,88,95,139,124,87,5,137,153,150,158,27,153,160,129,153,151,158,160,149,162,156,140,104,158,160,19,154,86,160,111,159,102,157,116,105,166,88,151,103,118,161,160,159,167,143,141,144,129,123,119,116,42,167,156,173,169,171,172,160,158,166,170,169,173,169,165,172,166,166,169,170,172,173,171,165,159,169,139,126,160,162,160,30,43,12,3,150,149,124,145,73,67,12,36,31,26,14,8,96,39,74,16,3,29,13,18,16,23,22,71,158,157,154,148,154,154,153,165,163,161,150,128,152,159,162,157,145,160,169,166,131,129,129,137,11,162,157,154,145,153,160,163,151,150,151,151,160,156,162,163,167,159,162,143,154,162,155,153,156,158,159,148,162,165,160,151,164,159,163,146,162,159,155,16,11,22,15,35,83,68,137,114,95,43,160,150,153,156,154,107,147,153,163,154,155,143,158,158,163,120,116,85,72,82,80,103,14,16,3,47,3,144,158,145,160,153,159,158,151,149,155,159,159,140,156,162,169,166,166,165,172,159,166,38,150,134,140,82,99,144,136,20,160,134,159,64,17,152,128,157,111,159,157,152,145,158,154,138,159,149,154,64,160,149,134,148,148,149,165,161,138,142,166,159,162,125,163,156,159,162,139,161,131,137,167,141,158,160,127,151,167,58,157,156,159,111,154,108,161,128,153,125,151,160,155,156,141,153,159,141,160,152,164,137,162,162,158,160,158,162,154,158,161,136,151,170,159,159,156,169,164,158,158,152,42,150,141,164,151,126,150,143,160,132,138,160,161,116,154,157,151,153,158,140,158,153,148,166,156,45,157,151,160,155,142,166,162,158,159,77,157,156,157,157,117,151,154,142,161,155,143,158,129,156,157,134,40,161,129,164,139,157,144,143,150,57,168,146,165,168,146,141,165,164,111,165,162,149,149,144,144,157,164,84,156,122,150,168,150,145,140,144,152,166,135,163,149,122,136,152,160,134,52,160,166,165,141,165,61,154,166,40,155,108,162,137,162,165,30,116,118,161,162,160,157,148,162,139,147,165,155,47,159,144,161,169,138,23,11,160,89,157,121,35,148,164,112,133,153,160,158,166,137,118,152,101,158,163,164,126,171,51,150,126,162,120,167,169,150,22,164,58,162,160,64,154,142,106,156,147,146,147,124,158,148,133,151,133,150,137,162,135,163,138,161,161,134,163,152,123,153,162,128,126,147,155,72,158,149,151,156,127,98,134,149,126,152,141,151,162,156,146,122,166,150,75,155,140,157,155,115,166,158,149,157,142,160,156,163,147,132,124,159,146,132,107,135,134,135,135,148,143,132,138,156,117,160,126,146,153,139,112,137,139,143,160,153,145,133,157,158,159,141,151,121,135,145,131,106,124,115,143,140,107,136,154,158,162,162,143,150,157,158,142,137,114,42,87,142,157,130,161,139,131,145,161,151,122,133,132,115,133,162,156,147,153,164,147,157,164,161,153,104,107,166,146,148,24,120,96,152,158,154,148,53,50,69,49,17,76,40,78,79,53,110,64,163,162,162,116,78,53,63,45,72,61,67,158,159,157,163,166,142,141,133,128,157,114,159,152,166,161,156,158,151,131,160,146,163,143,164,140,169,159,154,167,151,164,170,160,156,156,165,144,162,155,169,146,154,26,161,151,158,151,139,127,162,156,158,19,158,140,135,156,159,139,22,155,141,124,158,141,35,160,165,161,161,163,50,133,63,155,134,164,138,162,152,155,154,158,160,131,159,160,151,158,111,161,136,160,143,154,165,155,144,134,135,165,112,156,134,148,152,143,169,117,167,152,145,155,138,159,140,162,155,150,158,95,152,160,118,168,125,147,163,164,167,166,168,150,163,130,172,170,163,156,166,170,172,170,167,163,164,171,168,167,113,148,57,33,110,155,154,154,144,46,162,162,160,165,160,66,9,76,138,88,15,74,73,120,82,146,108,144,163,64,23,48,47,62,20,33,118,82,133,125,96,145,158,158,151,160,149,143,152,154,148,152,154,161,142,148,159,159,135,150,151,159,159,156,160,152,150,144,139,155,143,142,140,131,124,60,86,87,7,163,146,156,158,42,140,55,159,157,104,117,154,81,115,162,160,164,126,122,55,116,76,134,136,143,134,146,149,158,136,70,164,142,150,163,149,152,135,166,130,24,148,143,139,167,152,129,135,161,149,141,157,112,113,156,153,125,154,152,153,160,138,48,163,160,133,162,137,160,150,164,157,130,163,170,143,160,146,143,161,167,146,153,126,158,153,165,160,158,156,151,154,154,161,159,137,122,154,168,144,154,156,163,141,162,155,166,157,163,158,160,166,161,164,172,165,160,156,147,162,162,142,164,168,135,161,148,171,159,162,160,159,163,161,159,154,158,164,162,168,159,111,163,151,169,157,166,132,131,57,158,149,145,137,160,85,11,158,152,160,138,153,154,144,148,131,137,137,143,148,150,130,88,155,149,145,166,144,155,106,109,115,116,110,147,153,155,147,161,160,29,156,143,151,152,162,159,165,103,152,158,145,159,140,156,126,126,92,117,105,91,86,87,163,97,159,52,158,161,121,61,160,161,159,76,93,132,82,161,160,164,120,97,112,148,164,165,163,137,130,137,139,55,163,160,108,77,75,92,94,88,102,75,139,146,105,95,151,163,108,22,3,82,155,93,74,70,57,19,161,132,156,160,134,158,141,22,141,138,37,131,124,124,106,69,120,109,92,103,92,76,86,76,100,79,72,92,73,85,92,126,136,108,92,152,115,148,51,27,95,32,44,64,50,125,36,138,147,37,13,3,163,126,125,169,161,122,149,155,147,155,153,145,168,153,159,168,160,147,153,158,158,163,136,152,149,154,160,145,164,165,168,161,165,155,164,165,158,165,162,161,151,157,169,146,132,164,165,167,152,172,156,154,165,164,162,146,154,165,168,110,147,152,145,144,159,169,163,170,165,131,162,159,12,164,155,163,156,160,166,162,163,157,158,82,159,165,87,164,93,68,163,161,148,159,168,133,164,142,83,110,20,155,93,161,105,77,51,61,62,46,109,92,22,123,116,104,61,126,125,87,109,53,130,119,155,117,148,140,156,101,62,85,111,72,11,148,92,152,65,137,117,116,114,119,165,163,154,159,166,138,170,123,163,169,160,164,166,128,142,138,159,144,166,161,164,154,134,170,152,163,153,153,158,121,119,103,157,164,115,162,163,162,145,124,162,155,132,165,118,159,160,127,164,165,150,152,140,157,168,147,165,153,55,98,25,156,136,31,59,128,157,146,144,143,146,161,142,155,32,148,152,146,156,84,134,150,161,134,147,165,152,133,124,125,138,144,154,150,157,145,148,153,166,158,87,14,173,180,169,150,168,175,160,156,170,150,170,161,172,170,172,151,169,172,162,173,133,137,161,172,165,113,169,163,174,155,180,171,155,155,170,152,173,173,133,126,142,132,66,132,65,154,153,156,35,151,150,154,51,145,134,155,153,146,135,93,96,147,149,83,72,154,146,97,75,136,90,84,103,112,127,147,154,123,88,140,165,124,117,129,96,62,165,128,143,164,151,147,147,161,146,148,164,114,120,115,117,145,140,128,153,162,113,121,123,128,42,168,157,167,174,164,171,163,170,167,170,173,150,172,69,171,139,172,166,169,133,170,168,171,174,149,156,156,135,131,71,150,137,157,150,126,155,137,134,150,150,157,152,155,151,135,157,164,157,151,140,156,155,157,144,150,160,151,25,19,130,136,113,116,128,28,156,150,155,152,46,103,118,135,128,143,49,161,136,159,163,158,111,158,154,118,157,149,154,155,146,32,144,108,142,153,104,116,108,105,102,115,83,149,135,95,131,133,86,68,86,160,136,167,162,116,116,112,114,113,119,119,49,160,149,146,115,14,141,154,122,151,150,148,112,132,148,68,149,144,147,84,147,91,43,122,97,156,156,155,164,133,122,129,124,123,120,119,94,11,10,3,116,157,152,35,146,89,148,148,153,52,153,147,161,166,131,135,33,152,153,149,164,146,150,151,125,160,163,145,154,159,141,151,149,151,155,157,164,160,128,160,157,152,125,162,154,149,154,154,164,53,121,30,127,88,66,19,27,93,127,160,168,161,177,175,167,173,175,174,172,171,169,177,175,174,176,180,175,177,177,178,174,176,180,178,176,170,173,178,174,175,174,172,131,135,165,142,163,165,165,152,165,165,152,140,148,148,160,164,160,152,158,160,165,170,164,157,159,158,168,169,137,131,161,109,78,139,118,138,149,146,130,150,162,153,129,150,156,141,144,143,135,152,156,128,154,167,155,121,133,156,155,154,139,137,165,164,150,142,149,167,152,109,139,167,141,130,148,137,159,144,155,160,156,90,162,142,74,91,39,152,162,142,153,158,141,118,96,69,157,148,134,105,158,118,139,122,159,158,158,147,166,141,132,148,127,151,145,163,153,129,165,163,152,154,31,134,109,12,163,143,159,69,88,151,145,145,146,145,156,131,164,116,150,68,148,139,149,133,148,121,117,115,101,174,155,176,169,175,173,164,174,161,175,159,179,152,176,58,119,50,151,128,167,38,162,122,166,127,151,151,122,162,143,160,121,157,140,137,160,125,159,136,153,159,163,48,159,145,160,156,158,162,162,163,165,151,154,147,156,168,147,8,35,157,154,25,68,149,73,29,24,43,13,19,22,15,29,21,18,16,123,41,159,160,141,167,147,33,139,130,139,157,150,30,142,35,144,147,160,137,127,157,135,78,148,155,147,159,160,27,7,154,132,147,156,97,132,127,78,79,77,144,146,158,175,156,178,173,174,175,175,177,175,177,34,146,94,161,69,141,120,157,154,154,165,97,158,166,158,159,125,163,157,131,164,167,146,155,81,156,31,165,156,154,160,142,142,155,96,49,135,21,47,67,50,137,128,129,151,147,155,161,145,148,143,134,153,136,167,135,132,126,162,159,136,127,144,122,153,159,165,158,136,151,144,161,148,145,157,157,132,159,138,128,123,78,153,149,157,166,156,145,144,155,152,98,159,139,138,139,143,138,152,161,148,111,158,145,91,160,154,165,168,147,161,165,147,158,146,153,143,135,17,61,56,3,123,163,117,46,153,158,152,141,143,130,153,156,154,137,158,140,158,139,152,116,160,150,144,164,156,137,136,159,155,128,151,139,165,151,142,150,155,147,163,158,133,166,147,151,142,156,159,164,162,155,158,163,153,164,115,164,54,151,36,20,13,68,34,123,31,49,35,37,133,89,60,44,33,42,49,54,48,43,33,40,37,48,44,36,64,44,40,33,31,35,50,31,41,33,44,31,22,36,30,38,61,128,79,22,13,18,16,24,22,71,135,149,157,106,148,158,168,153,160,159,155,155,157,161,129,131,20,30,89,19,3,149,157,138,147,132,121,146,144,158,148,134,157,159,160,131,158,161,143,131,160,160,140,152,145,134,153,148,134,161,141,154,154,149,151,149,162,143,155,133,156,162,143,142,162,156,160,155,164,135,39,162,153,163,164,160,157,155,167,157,161,149,164,163,163,156,168,163,162,160,154,155,161,150,163,122,166,144,161,155,158,130,163,161,165,159,123,115,150,95,121,114,117,45,176,79,159,159,145,148,153,160,156,139,154,149,143,144,150,143,155,133,156,164,148,163,153,148,148,156,132,156,147,135,160,144,129,163,147,152,149,145,140,140,154,150,118,152,155,155,145,157,147,123,158,152,147,130,149,160,165,157,152,158,159,148,142,152,161,153,122,136,157,154,140,149,164,137,165,158,160,148,156,153,153,156,162,156,155,160,164,146,163,50,70,29,47,136,140,125,161,106,165,170,167,166,50,164,89,75,163,167,162,159,164,156,169,171,164,170,159,169,108,109,120,82,171,150,57,126,165,163,163,160,162,161,161,154,154,152,153,153,153,168,85,81,160,82,92,171,168,171,173,161,168,157,117,110,114,112,110,124,110,105,127,39,154,144,134,46,155,157,150,145,78,13,154,136,86,28,146,153,127,95,90,152,95,90,153,155,118,116,112,71,76,133,144,153,16,151,158,147,159,151,162,105,149,133,142,145,153,152,111,81,122,145,88,91,91,92,94,144,86,86,99,162,148,118,32,64,169,62,126,156,161,170,170,169,171,163,162,165,156,169,171,165,159,162,169,162,165,160,165,165,170,176,166,161,138,129,110,116,137,154,155,158,154,77,149,129,142,142,139,66,153,159,147,145,139,147,165,140,163,138,133,161,146,139,153,166,162,123,147,157,138,137,158,152,140,151,133,152,161,150,163,163,159,165,139,161,144,163,167,159,165,139,151,147,151,55,164,132,138,162,138,147,166,157,152,166,153,134,161,136,167,140,164,158,130,168,142,155,148,159,160,163,160,162,167,155,161,153,159,163,153,142,163,159,144,151,165,135,158,163,170,148,166,162,148,166,162,167,161,129,154,147,164,161,153,159,165,150,164,159,162,169,159,157,159,39,133,132,127,123,134,128,132,151,39,145,165,141,155,162,159,157,158,162,159,162,154,163,155,161,164,152,164,158,162,40,122,126,65,65,157,138,116,137,20,13,13,9,83,65,50,47,60,29,24,43,13,19,22,15,29,21,19,16,121,154,154,159,144,135,148,142,142,148,148,150,150,156,66,153,149,88,163,158,156,155,118,114,105,83,131,142,133,157,164,160,155,149,118,119,111,35,154,156,151,126,128,164,162,166,157,166,153,109,152,138,169,151,148,150,127,167,152,19,165,151,151,164,160,151,135,149,146,168,168,159,158,161,135,165,166,155,155,164,144,153,161,150,166,111,48,161,143,151,34,163,161,47,160,133,119,48,161,101,159,63,143,157,160,97,67,148,108,141,128,120,118,155,60,3,157,144,163,35,145,153,147,129,170,158,153,154,65,137,148,150,160,137,141,165,161,153,160,139,157,159,142,164,156,144,166,149,137,160,142,166,151,154,164,154,158,158,102,159,163,162,161,170,157,140,155,167,72,149,139,159,100,138,141,141,128,136,161,116,139,142,142,153,132,144,128,164,147,139,140,147,119,156,135,161,150,154,154,162,127,166,157,166,141,154,110,163,132,163,153,107,114,164,149,126,162,116,159,60,7,164,144,159,161,153,159,159,38,146,157,161,164,164,44,152,158,162,113,13,164,167,156,165,151,165,156,163,119,134,138,37,167,164,161,167,166,172,164,168,168,161,167,150,142,144,134,31,160,127,155,153,147,166,159,163,158,161,164,128,162,159,168,153,159,161,164,156,159,160,154,155,149,153,160,154,166,157,164,55,162,157,167,166,149,161,163,158,164,161,164,126,117,77,151,145,161,68,59,121,142,165,155,140,82,160,165,173,157,157,106,167,173,136,174,168,52,20,168,160,172,168,162,113,167,150,157,167,167,173,80,164,94,165,171,155,173,170,172,164,166,159,161,166,75,168,172,125,162,166,137,154,167,168,170,168,158,169,160,169,167,139,133,170,99,158,143,143,41,147,142,154,31,155,159,152,145,145,155,148,160,159,158,157,158,162,152,31,162,162,149,161,167,143,151,149,156,156,161,158,164,168,165,139,157,155,146,160,156,169,162,164,165,156,161,159,156,139,157,161,150,153,149,160,157,153,166,154,163,150,149,169,156,141,162,166,165,157,139,59,15,160,109,44,19,67,63,49,44,60,21,23,43,13,19,22,15,29,22,18,16,123,147,146,158,144,153,146,156,155,147,139,15,151,131,121,128,166,135,153,117,137,155,157,153,56,119,131,120,13,40,99,21,116,29,159,170,163,146,166,147,152,160,141,152,152,135,157,133,164,154,130,155,38,163,150,146,156,158,167,168,120,161,165,30,170,138,109,102,168,159,146,163,164,117,160,121,134,112,110,94,157,44,166,168,143,157,146,167,166,137,164,168,153,128,117,119,139,129,122,42,93,161,155,103,12,153,113,153,77,144,129,101,47,75,147,156,150,92,74,83,92,69,75,152,84,70,152,160,155,134,84,72,16,28,142,144,152,157,138,157,54,131,149,152,159,27,97,154,140,156,155,155,106,151,147,158,134,157,157,133,164,126,156,163,152,147,113,139,147,151,143,153,159,156,163,153,163,117,161,82,157,160,149,155,164,157,134,136,139,130,24,158,113,165,145,114,28,156,124,144,151,160,151,133,125,161,141,148,163,157,104,116,149,138,54,126,164,119,163,138,163,165,166,140,16,163,161,124,165,167,154,140,160,167,155,169,165,140,109,120,121,136,31,10,171,39,159,162,163,168,62,169,165,169,159,158,160,134,165,144,154,158,161,168,152,136,37,103,49,161,90,95,169,139,154,163,39,143,142,136,158,121,140,164,132,136,138,123,144,132,162,126,133,142,149,147,160,132,167,128,110,159,121,156,154,156,136,148,135,134,119,161,163,124,161,141,158,159,150,161,159,130,167,137,114,163,138,164,121,125,119,139,127,153,167,147,159,151,137,162,161,165,159,135,167,147,150,157,160,166,136,160,151,166,130,161,150,128,166,149,158,115,154,156,161,154,153,130,120,175,176,175,172,164,173,168,166,170,163,176,164,168,161,159,126,149,160,23,158,159,156,33,159,158,139,156,106,28,145,168,156,161,163,102,16,151,146,156,163,166,162,147,151,156,158,162,159,123,129,92,155,154,139,140,163,144,160,151,116,162,156,159,159,162,160,160,141,166,144,163,159,136,154,81,49,85,162,24,65,58,56,166,49,41,31,160,165,146,6,139,164,163,159,164,157,159,61,16,38,126,145,33,149,147,40,142,116,145,152,159,148,147,143,97,82,151,166,146,158,45,65,125,119,144,159,147,148,101,105,95,97,148,163,157,157,58,120,112,106,113,123,19,44,156,55,159,41,169,168,152,164,160,161,173,169,166,172,171,168,163,170,165,166,166,161,171,170,171,171,172,164,165,172,170,164,169,172,155,140,126,99,18,148,135,27,156,138,163,135,158,138,155,124,113,145,143,164,161,162,159,127,162,159,164,168,61,16,149,150,161,160,160,158,100,159,160,159,158,157,117,78,158,146,127,164,144,166,141,158,147,163,131,163,163,159,127,160,166,164,165,158,156,138,147,157,164,161,144,164,148,153,163,160,161,90,122,62,163,152,168,145,161,141,171,168,138,167,156,34,159,160,43,163,167,151,170,137,40,156,151,162,35,128,162,149,168,142,167,171,107,92,27,130,125,128,128,138,123,35,145,156,63,15,151,149,131,151,154,144,161,152,156,81,126,119,133,40,114,56,166,156,169,164,166,168,146,157,150,154,144,167,153,154,156,154,149,74,164,164,140,133,149,156,141,149,148,143,104,157,147,152,154,150,155,110,136,152,140,165,141,155,99,158,164,158,142,156,154,138,164,160,161,145,168,141,155,126,153,133,151,147,146,160,133,152,164,163,109,155,165,135,160,138,160,135,117,136,50,18,163,152,156,165,86,165,148,164,156,157,155,156,157,123,166,153,152,157,156,165,152,164,163,162,161,158,150,148,126,157,157,160,157,150,162,157,163,165,162,161,156,27,154,147,152,150,126,150,158,61,123,120,123,131,158,158,160,151,178,167,164,161,155,159,169,163,150,166,159,125,152,168,164,154,113,163,175,31,88,93,140,144,125,138,142,161,144,96,142,130,151,145,157,156,80,146,152,144,99,157,151,158,149,156,150,145,155,156,153,147,157,130,144,139,154,156,159,160,154,144,159,119,125,117,116,122,164,151,155,156,38,158,159,153,162,22,154,148,151,159,158,44,157,128,155,149,157,160,121,119,151,151,163,161,155,152,33,158,153,160,161,164,158,125,40,163,152,151,159,157,159,153,151,162,158,153,43,164,153,156,156,151,165,161,157,161,150,152,165,162,161,144,120,120,114,130,77,63,158,158,161,90,138,168,37,130,165,146,160,153,139,72,162,152,140,154,137,164,124,158,141,163,153,153,160,135,165,162,136,137,140,135,147,143,160,91,163,152,142,151,154,146,106,145,106,153,156,114,82,81,88,111,90,97,98,108,105,138,158,146,151,149,156,154,165,138,130,134,98,34,133,150,27,152,146,153,25,94,142,148,141,143,148,157,143,32,107,113,37,168,171,165,169,134,35,67,67,148,159,133,45,106,156,91,82,17,69,48,57,91,149,165,168,69,101,59,62,56,127,33,157,145,137,125,128,101,137,166,156,22,148,147,140,150,154,107,154,152,142,154,143,150,165,162,163,147,156,162,142,144,167,163,135,137,147,151,158,156,151,150,128,140,156,153,91,120,149,137,134,130,27,166,133,161,139,157,88,19,161,128,38,158,137,142,148,105,157,134,148,113,144,155,138,167,136,150,149,151,123,147,133,159,143,152,146,154,139,151,154,160,118,83,133,116,118,130,166,173,174,177,177,171,175,170,176,172,179,176,173,177,178,172,178,172,170,143,171,177,169,166,76,150,153,123,147,40,154,65,63,131,62,86,82,119,145,141,160,151,155,162,150,40,146,163,155,148,169,138,133,170,157,147,152,147,156,134,132,150,142,155,127,144,136,126,166,122,163,131,157,149,134,159,97,159,142,151,144,146,157,162,120,163,141,152,163,142,32,151,148,123,137,155,158,129,164,144,156,155,118,149,163,134,147,158,149,161,151,147,171,151,150,161,146,138,159,141,117,164,155,158,161,160,165,166,167,162,161,165,133,161,168,168,157,146,160,144,170,157,141,135,140,134,132,143,146,142,152,156,140,144,140,156,167,146,131,148,144,153,138,155,158,136,172,154,158,46,161,161,168,163,163,169,164,164,155,154,148,151,131,165,166,44,164,134,141,133,157,139,152,133,160,130,48,158,162,130,158,137,127,157,153,128,160,149,139,153,151,150,163,126,154,154,146,153,151,162,157,167,165,157,159,155,145,159,141,153,145,153,164,169,155,152,136,143,143,144,156,141,146,157,159,146,140,137,154,162,163,153,151,153,155,150,159,158,142,163,161,148,146,150,144,137,163,152,147,19,165,154,163,158,152,123,134,113,123,138,60,98,91,121,28,86,102,113,137,135,107,139,113,149,95,122,139,119,148,117,161,147,129,92,136,147,143,155,53,158,161,156,155,131,100,96,108,78,124,32,114,126,85,67,86,161,156,126,169,145,161,150,158,112,14,159,147,165,157,161,161,157,160,159,158,167,170,144,162,152,162,165,166,165,160,165,156,145,146,158,154,121,164,160,30,153,130,161,159,165,154,157,159,167,146,162,164,166,170,164,53,125,45,157,153,147,137,26,157,162,142,158,154,149,100,164,150,86,158,108,145,168,151,162,144,159,168,155,46,156,160,154,158,152,138,159,149,158,47,161,155,142,164,146,167,150,157,155,153,151,155,146,134,135,145,154,151,159,42,155,147,155,153,144,151,165,149,158,151,75,139,153,152,155,150,138,141,163,156,161,163,148,159,154,153,156,153,164,147,159,155,152,164,132,92,161,148,159,87,148,156,152,138,165,157,154,169,115,160,158,150,137,34,166,155,157,104,101,149,157,99,153,162,162,167,156,159,163,161,118,128,131,116,39,125,114,129,151,155,141,145,160,149,160,140,153,138,17,147,163,150,54,152,130,148,60,86,57,64,136,127,159,168,165,163,158,163,165,153,135,154,141,166,166,158,144,170,165,165,155,154,134,141,147,166,143,141,133,160,165,148,161,142,136,163,143,134,165,164,106,16,163,141,127,137,155,163,159,158,145,166,145,156,161,129,159,46,139,154,165,165,152,164,163,140,165,161,148,125,152,157,135,157,161,159,157,159,159,20,161,161,165,152,158,145,145,169,166,159,163,146,134,144,156,159,165,168,160,158,159,157,161,41,152,153,102,148,132,167,163,162,71,154,161,145,80,160,162,43,161,148,146,155,149,135,162,157,149,162,76,139,166,161,153,121,157,148,138,25,166,119,158,158,150,25,153,144,163,155,150,146,116,22,149,151,162,163,158,152,160,162,157,31,133,163,160,144,166,170,147,156,135,145,142,157,163,5,144,146,160,163,167,142,164,164,167,165,154,164,168,162,163,161,166,167,167,162,166,168,154,169,168,171,146,159,95,90,158,164,157,130,162,157,158,155,109,93,165,165,154,162,149,168,168,170,140,133,129,96,163,157,162,164,104,151,155,161,162,154,161,111,30,150,156,160,123,157,160,144,163,158,160,168,157,163,142,165,154,165,165,168,169,130,128,131,150,72,139,28,49,129,41,73,38,130,80,48,40,32,138,66,41,27,41,45,64,33,38,39,142,28,73,13,101,41,79,87,160,35,18,14,23,22,71,57,123,125,89,147,157,153,154,156,138,162,164,154,160,164,160,154,163,153,168,132,163,155,142,137,104,161,152,166,157,148,147,168,158,25,142,125,142,156,153,128,159,19,99,154,152,159,139,127,149,157,51,160,137,152,128,153,150,141,162,157,139,137,146,55,14,89,75,32,120,45,36,32,38,10,9,7,57,150,73,29,24,43,13,19,22,15,30,22,18,16,123,32,171,163,161,170,169,148,153,171,155,174,169,176,171,174,172,152,169,173,174,175,175,171,176,135,132,141,132,141,150,159,152,154,158,161,149,108,106,122,121,122,144,123,157,70,77,163,152,82,95,134,156,80,120,154,150,88,138,162,72,152,159,160,129,114,110,75,86,70,73,133,85,61,132,104,133,162,145,129,136,48,157,162,150,161,167,152,148,167,153,115,159,148,148,143,125,154,154,160,160,155,118,119,170,153,160,64,116,39,155,154,157,162,141,159,149,123,134,157,157,139,156,152,166,153,161,117,158,138,145,160,138,159,152,129,134,156,143,164,145,158,161,28,155,163,155,153,148,164,159,150,108,161,156,137,89,85,126,149,159,81,160,151,108,88,90,136,162,81,135,128,122,59,86,109,156,161,125,124,23,166,161,145,30,145,136,152,149,162,163,155,157,140,145,153,157,130,133,147,167,154,124,131,147,170,155,143,160,148,122,150,167,161,140,153,162,161,150,140,16,55,118,39,159,140,57,133,142,151,157,156,144,151,129,156,140,150,139,139,167,142,76,142,145,152,153,131,138,164,131,120,160,144,161,123,157,162,113,122,150,141,151,132,148,132,30,160,130,159,156,140,163,142,150,165,161,130,140,129,120,163,43,87,40,135,144,70,158,129,140,148,136,147,151,148,153,130,151,150,136,158,153,149,164,159,133,129,160,157,171,148,137,148,167,145,149,166,146,151,146,162,158,162,156,139,150,142,172,131,154,136,151,134,170,138,160,157,160,149,153,162,148,153,158,143,162,166,149,156,154,143,166,157,146,140,37,172,169,159,178,180,178,176,175,176,174,177,68,172,168,171,136,154,174,176,174,175,157,128,154,59,4,3,124,133,124,169,176,173,178,176,180,123,83,59,84,157,157,21,14,3,140,147,147,135,149,168,158,129,156,144,150,131,156,130,127,155,143,165,107,170,129,168,140,151,149,143,130,154,159,100,152,158,149,106,149,152,163,142,144,155,142,124,143,105,114,149,124,155,156,95,137,143,158,144,155,123,86,133,161,151,110,96,152,146,143,137,147,149,149,144,135,96,145,141,147,153,134,132,155,138,118,32,115,28,157,158,158,156,146,154,160,161,154,161,125,161,152,126,94,87,160,154,94,154,152,39,152,126,125,156,104,134,145,114,21,154,141,125,133,158,159,139,163,106,162,128,137,159,142,157,11,133,157,161,159,168,161,69,142,133,157,162,154,157,99,156,157,162,162,154,147,123,121,139,132,51,86,157,158,156,145,156,161,163,161,153,168,148,161,152,131,169,66,163,159,152,164,162,157,165,134,165,165,162,164,135,155,162,144,157,159,160,139,161,154,165,44,100,161,152,138,140,149,163,161,150,137,153,161,140,155,144,153,142,159,148,158,167,167,164,168,154,153,143,168,139,121,137,161,167,167,151,168,170,146,156,164,161,161,142,165,167,132,28,169,145,142,155,137,90,160,123,138,165,167,149,156,152,136,112,150,154,162,146,148,145,49,150,156,45,163,154,153,167,160,158,145,162,115,162,123,155,144,155,147,144,130,158,147,156,37,155,148,128,113,161,135,144,159,147,120,139,152,129,141,110,151,126,128,134,122,151,138,143,137,137,143,155,145,138,141,149,133,147,145,140,154,152,142,126,151,141,154,161,138,86,151,136,148,134,163,129,154,38,154,147,149,155,144,161,161,119,150,133,157,148,164,160,160,153,158,145,156,154,146,150,132,159,137,79,161,30,158,166,158,155,162,152,158,146,130,100,164,51,133,51,163,159,139,143,142,156,140,164,156,155,155,128,40,151,132,148,146,152,138,140,154,136,158,119,116,141,161,156,151,140,146,35,151,161,144,138,156,149,143,151,146,147,161,159,145,164,142,159,137,133,161,153,140,157,150,144,163,133,162,161,57,161,148,143,150,166,146,169,172,135,113,52,134,152,126,157,137,154,163,143,149,141,156,139,163,142,148,136,150,163,137,141,124,152,136,156,103,142,140,139,157,157,138,154,144,156,145,147,154,164,158,142,159,61,137,113,146,156,140,155,138,127,156,145,138,130,163,142,143,161,155,146,156,154,126,159,156,162,159,158,157,134,139,165,80,18,160,134,101,180,143,144,150,163,162,161,152,165,138,140,116,134,157,124,120,156,114,151,165,156,160,160,146,129,168,155,106,152,130,143,141,152,133,154,141,164,152,161,148,158,153,154,153,166,143,165,143,163,122,157,124,164,157,143,151,157,150,166,112,163,151,124,145,149,158,127,149,166,154,132,169,159,152,149,172,134,162,121,160,151,160,161,152,156,141,156,159,156,143,164,145,142,161,158,109,142,170,73,158,149,41,133,164,143,164,155,169,149,141,155,163,168,157,160,169,155,143,165,159,148,148,159,165,147,159,160,155,163,145,133,131,134,35,151,130,148,146,147,141,155,145,158,161,145,142,165,134,145,154,164,156,153,125,142,159,150,29,141,23,161,76,154,149,140,162,142,153,135,147,168,136,128,160,149,167,150,160,148,146,151,156,147,131,164,146,150,36,145,146,157,158,135,148,139,134,150,144,151,143,154,135,163,162,148,150,168,103,161,161,161,151,142,149,149,163,100,82,64,137,164,153,156,154,92,152,173,160,153,147,144,160,156,171,142,167,167,149,169,163,166,169,160,168,162,160,70,149,132,70,99,55,42,75,146,156,33,154,169,102,142,163,165,143,151,163,96,70,122,168,120,105,82,161,96,82,147,154,141,140,154,154,153,150,155,27,137,136,134,142,112,151,99,93,80,41,140,152,92,161,87,119,114,124,146,163,163,150,151,150,156,164,142,152,152,154,160,162,160,163,89,153,162,149,146,111,163,93,164,143,146,161,150,142,148,155,148,123,123,134,162,152,151,150,152,154,162,38,83,103,119,121,128,84,101,98,101,91,121,143,113,143,159,55,119,120,121,114,141,117,117,86,154,147,180,144,173,178,164,74,180,113,111,180,180,166,175,176,164,180,161,84,57,85,148,82,157,144,161,151,154,46,158,168,157,158,157,161,117,159,166,155,171,158,148,147,166,111,99,165,160,162,161,75,74,96,132,162,154,142,152,107,124,148,150,47,133,69,145,141,44,50,77,112,160,77,87,87,150,127,73,153,160,71,58,66,132,41,119,36,156,152,151,131,156,164,119,130,162,149,157,150,125,135,155,112,160,157,143,126,156,161,126,168,163,162,173,121,134,149,154,157,127,152,163,128,164,150,136,166,155,124,152,163,168,148,128,144,164,145,166,150,152,165,153,131,169,168,114,163,159,154,142,165,151,163,168,150,166,162,158,128,158,141,123,155,136,132,159,158,136,147,57,95,93,40,57,98,101,110,89,131,98,120,88,95,96,64,102,89,101,83,90,107,75,123,129,156,164,104,106,78,96,110,110,157,163,160,158,164,155,152,153,141,94,155,148,158,156,159,150,154,158,114,39,158,96,40,156,116,86,164,80,132,97,157,107,163,110,161,94,155,37,165,145,161,146,165,130,159,133,147,157,150,165,159,165,137,165,151,155,142,154,114,168,151,161,159,163,165,140,166,170,153,164,128,161,147,67,168,140,126,134,127,129,30,43,33,93,36,3,145,140,117,160,120,158,163,132,148,144,145,140,165,115,151,130,123,142,157,134,120,160,158,142,138,145,156,159,142,134,144,139,148,114,120,158,135,156,150,151,137,159,89,157,124,145,163,74,150,164,163,164,143,165,167,145,163,157,165,165,157,156,137,146,150,35,152,150,141,115,154,98,155,108,87,154,123,93,161,61,89,166,125,134,49,48,138,66,81,163,168,151,64,161,113,161,115,159,131,167,140,77,12,154,144,157,142,166,163,157,142,121,158,126,166,135,162,133,140,130,73,126,162,133,163,149,42,156,159,150,132,154,163,160,146,160,140,160,140,158,160,156,157,146,165,167,138,151,148,135,165,146,162,162,166,169,162,150,163,136,166,157,169,164,172,173,170,160,157,169,173,169,172,173,164,172,169,158,174,162,168,169,159,168,171,172,166,171,168,171,160,161,127,146,161,146,153,60,146,112,160,153,35,122,108,18,159,148,154,156,45,73,105,71,80,122,146,144,141,104,118,160,162,172,161,173,179,177,174,157,170,157,162,40,86,156,163,148,124,17,148,146,127,113,146,163,149,135,121,132,153,158,167,151,64,161,147,120,25,157,153,153,150,145,117,163,163,168,118,142,130,161,143,111,120,157,161,151,157,35,149,153,123,98,156,136,146,108,165,158,156,162,151,156,128,109,158,124,117,99,158,145,146,151,30,151,133,151,153,117,108,148,157,48,145,143,119,132,20,133,106,66,75,69,158,88,85,137,142,75,102,111,108,118,120,141,166,167,163,162,156,159,162,157,160,83,129,150,160,163,155,161,158,161,155,168,164,159,166,160,160,159,154,160,160,165,158,156,157,160,160,133,158,166,138,127,125,125,127,23,150,158,136,134,135,149,115,130,76,151,141,161,122,147,147,117,131,126,160,161,148,141,154,160,151,138,138,135,142,146,126,92,23,144,135,147,139,160,158,128,142,153,168,162,156,59,127,131,116,144,143,109,172,132,143,146,162,169,165,164,161,164,159,135,99,99,126,164,160,149,108,81,125,137,167,127,150,115,167,166,83,95,116,148,135,159,150,163,128,130,134,138,151,141,123,82,158,141,68,134,150,115,137,150,131,136,157,154,158,157,147,123,162,122,150,119,134,151,147,149,153,146,123,158,141,134,147,150,124,164,163,158,130,138,60,167,160,159,171,165,170,154,162,171,153,146,166,149,144,172,165,152,168,137,171,159,169,144,164,174,157,166,143,158,159,145,174,171,168,134,135,152,56,12,39,159,84,32,8,33,13,7,17,14,7,57,153,67,30,24,39,27,21,14,29,22,18,16,126,37,155,155,157,144,152,114,157,159,157,41,160,157,150,156,163,161,142,78,151,149,156,14,162,117,163,74,15,74,148,160,35,19,23,48,43,31,60,18,64,127,147,140,148,155,41,87,153,90,108,33,58,56,113,73,122,106,129,114,145,147,93,122,110,106,143,150,148,157,118,113,98,152,166,176,173,172,122,92,28,164,161,174,170,167,154,161,103,145,166,170,172,170,135,168,168,131,123,161,157,155,154,160,141,147,154,164,155,155,158,159,77,123,130,132,126,38,107,30,160,121,136,162,135,136,168,144,129,163,166,148,165,170,168,171,157,129,138,163,170,153,132,164,164,150,140,96,163,143,146,152,161,154,154,163,162,154,168,153,158,151,165,162,161,157,156,146,158,151,156,157,165,162,157,134,160,150,164,155,151,143,161,156,141,167,152,165,148,159,150,165,167,147,165,165,164,151,169,149,165,159,164,147,152,165,95,166,149,164,152,163,152,166,149,163,167,152,154,149,41,112,24,160,42,22,3,157,127,157,135,85,159,103,164,150,148,167,163,165,132,160,152,157,157,145,138,163,138,165,134,165,160,138,150,152,166,154,148,163,122,164,27,68,120,97,34,148,116,38,161,162,141,166,163,133,165,166,153,152,159,116,165,118,166,148,55,87,117,162,163,164,168,32,136,163,159,121,165,162,167,144,168,148,112,161,73,12,164,115,168,94,158,47,114,34,165,146,165,161,141,125,153,140,113,145,125,155,161,155,155,167,145,155,166,151,140,143,161,172,139,142,154,153,132,161,142,144,164,157,141,128,140,170,155,165,131,147,150,157,146,155,163,142,26,157,156,159,111,154,108,161,128,153,125,151,160,155,156,141,153,159,141,160,152,164,137,162,162,158,160,158,162,154,158,161,136,151,170,159,159,156,169,164,158,158,152,40,138,33,164,139,161,157,151,134,124,147,149,157,123,139,142,155,167,160,159,161,142,142,161,164,146,156,129,168,78,152,167,157,152,161,163,165,166,159,146,151,164,151,145,163,162,150,165,164,125,161,166,129,168,159,147,145,23,165,153,170,126,169,90,151,171,175,131,164,165,116,169,160,123,146,159,164,168,170,171,170,172,173,166,170,172,175,169,171,175,167,172,172,171,174,171,152,123,115,102,91,149,72,51,153,158,153,101,87,89,104,26,91,109,18,153,117,78,122,113,78,87,105,137,79,74,80,72,73,158,73,149,152,42,59,98,116,124,36,14,94,82,122,86,155,87,125,113,68,87,53,148,77,70,92,73,56,52,151,56,63,155,60,112,133,143,102,74,126,157,104,160,143,112,116,156,156,104,93,14,20,3,42,3,17,47,46,85,79,133,165,82,136,168,168,165,83,141,152,150,95,153,156,148,155,154,159,157,149,161,165,167,154,140,154,156,150,147,151,161,161,145,162,147,162,169,165,169,150,159,146,169,123,163,126,156,92,124,108,153,165,161,167,92,100,148,146,144,153,97,165,152,94,160,140,159,163,157,155,160,92,155,154,160,151,159,167,153,85,149,164,68,67,156,168,162,155,162,157,142,102,157,159,157,163,155,145,158,167,164,159,145,159,161,163,164,166,164,159,159,156,162,150,160,167,163,164,159,169,151,162,159,135,168,158,167,95,160,157,154,159,152,150,159,165,159,155,155,167,164,155,163,165,150,108,157,159,152,151,165,162,162,164,154,160,159,105,159,146,166,156,168,158,99,159,165,148,158,159,94,166,157,161,162,156,157,164,98,93,137,154,69,80,86,76,163,73,96,120,164,162,161,168,156,168,159,158,163,161,168,35,160,159,154,43,81,69,117,37,84,64,84,71,32,72,72,75,88,83,82,91,64,29,80,62,134,63,70,57,70,57,71,57,69,104,97,67,173,123,126,118,118,123,107,118,122,124,116,48,115,31,95,126,139,127,24,145,159,138,103,132,160,97,109,135,166,155,101,17,85,151,150,31,159,135,135,141,162,142,130,150,142,138,94,151,159,150,153,157,157,161,55,83,74,53,156,24,162,155,138,166,130,166,164,132,158,167,159,165,167,152,126,160,126,157,161,124,160,165,163,156,164,36,147,48,142,65,112,34,74,162,145,122,150,159,142,161,151,120,58,162,152,162,170,168,171,169,167,169,171,165,165,170,169,163,171,170,168,170,164,174,144,122,137,43,37,3,160,150,153,138,133,147,152,137,156,159,129,153,155,161,138,119,157,154,154,125,155,145,127,132,123,153,137,138,117,119,149,155,154,133,87,142,134,159,81,49,85,162,24,65,58,56,166,49,41,31,147,44,37,144,117,163,159,157,149,131,150,162,149,119,134,74,132,146,163,155,167,142,141,154,141,127,142,164,158,131,126,128,119,159,166,137,170,146,164,141,148,148,155,138,126,96,92,153,127,162,147,130,127,126,47,140,147,41,159,159,31,148,101,90,58,154,150,96,138,113,163,114,109,148,163,158,154,155,147,157,57,70,144,118,145,159,161,50,126,165,82,155,159,157,161,159,59,165,159,160,157,146,133,163,151,105,58,42,146,150,169,165,161,147,150,146,150,142,162,141,154,139,151,126,157,155,150,141,156,131,153,153,146,117,157,163,165,150,140,164,148,133,152,166,162,158,167,150,155,158,159,152,141,83,163,169,165,160,172,156,166,157,165,160,165,132,160,90,166,168,158,165,159,156,125,165,135,163,165,153,143,147,162,169,165,162,158,151,166,163,130,115,147,138,156,169,131,168,151,148,152,167,169,138,73,161,141,139,47,149,148,153,162,151,145,146,92,151,155,149,160,167,143,155,156,145,156,161,158,159,159,131,136,122,79,170,85,162,45,165,164,168,164,170,153,170,168,158,159,158,164,154,170,169,168,158,162,165,166,172,150,157,156,86,117,163,168,152,169,174,160,167,151,166,158,136,135,135,142,127,124,134,154,143,134,144,157,154,155,143,136,165,123,152,162,153,157,160,131,155,154,156,157,162,145,149,163,145,147,150,140,144,169,142,149,162,155,148,127,154,159,157,71,44,90,149,152,155,24,158,153,46,150,151,157,162,159,39,155,133,162,133,160,42,164,160,128,49,157,141,156,147,41,150,150,164,150,160,145,167,165,158,109,118,153,157,133,161,138,128,157,158,138,156,137,146,162,133,151,156,142,137,140,153,120,152,161,150,151,137,163,164,144,150,10,130,139]

indexes/colbert_coarse/index/fast_plaid_index/doclens.1.json

@@ -0,0 +1 @@
+[64,156,152,157,138,159,156,21,140,168,23,154,146,153,150,146,92,35,160,78,79,72,164,84,84,75,83,96,76,73,74,73,90,162,122,151,103,82,73,80,74,83,72,85,76,90,144,157,88,79,88,86,83,76,87,72,162,127,150,146,127,56,22,111,110,116,114,150,163,154,153,50,63,154,163,144,148,154,81,147,159,143,158,148,149,95,78,86,155,129,133,155,106,164,71,151,116,149,145,151,79,147,160,151,141,144,144,92,23,100,152,126,136,144,142,63,139,133,146,138,144,80,100,157,148,153,145,64,76,20,15,117,117,101,117,112,99,106,121,40,105,165,145,149,150,143,148,157,141,152,115,151,167,136,146,137,135,145,152,135,155,132,133,160,146,157,153,155,151,167,168,150,129,158,149,140,167,145,27,164,149,139,166,139,154,137,123,163,145,168,153,167,166,157,124,141,157,127,112,142,153,58,147,82,156,152,151,160,130,166,119,156,111,162,59,80,65,166,104,162,125,121,118,93,124,123,62,111,55,116,110,18,157,157,138,148,75,14,159,138,149,133,149,163,146,161,162,143,118,157,159,34,147,165,159,158,154,152,164,32,152,129,154,144,121,154,152,151,159,147,148,167,162,161,163,156,120,166,137,161,151,140,146,154,132,122,156,162,164,160,146,157,151,155,166,160,148,164,155,161,157,146,134,152,164,169,169,152,150,156,139,130,167,125,136,140,125,166,160,165,168,166,166,165,159,153,150,158,151,151,164,95,90,91,39,160,151,158,156,150,154,147,153,160,126,156,156,154,159,157,155,156,159,165,165,120,123,118,121,114,147,40,170,120,150,159,165,152,146,104,157,76,84,91,125,99,97,95,119,105,162,130,81,48,159,139,164,156,162,163,124,108,88,133,78,152,115,145,61,159,155,163,94,158,164,167,148,20,159,108,151,110,100,130,159,156,148,158,169,122,128,87,32,153,40,63,22,158,145,127,131,45,141,120,146,133,124,148,155,49,157,116,153,150,118,118,106,113,135,124,108,140,147,147,144,147,154,132,122,131,160,160,131,160,132,147,155,143,145,98,105,83,58,66,88,46,161,107,156,165,159,145,159,74,164,165,162,166,159,157,164,88,158,166,163,168,161,95,161,160,167,167,166,134,119,129,15,44,112,155,117,146,158,159,151,126,147,134,156,142,157,133,157,149,129,152,154,154,149,134,131,149,139,156,140,161,150,171,139,139,160,123,159,146,141,160,135,152,155,161,149,116,136,146,144,144,154,164,127,151,163,163,122,152,155,144,165,154,136,166,128,163,159,156,129,150,149,157,157,146,141,153,153,158,150,164,166,159,145,104,150,169,152,166,153,139,161,167,160,145,159,56,13,59,74,31,23,13,130,69,53,30,24,39,12,19,22,15,29,22,18,16,52,79,37,121,21,105,53,159,142,157,169,173,154,141,154,142,161,167,156,161,165,158,155,168,158,128,116,139,143,139,141,145,172,152,148,151,165,162,162,160,151,149,153,165,18,82,149,90,150,149,146,71,121,84,136,73,156,43,153,142,148,155,157,138,112,45,10,29,43,35,38,10,36,8,12,26,23,6,18,27,36,9,18,34,37,33,8,15,6,6,130,22,5,18,21,20,16,25,7,37,47,55,25,7,21,7,22,27,8,40,39,43,44,10,50,14,42,49,44,50,10,21,22,9,8,35,34,31,10,40,49,11,35,18,12,19,10,26,9,98,17,33,86,43,52,45,10,6,94,89,24,18,65,148,153,148,105,140,84,155,93,161,167,156,153,155,163,39,157,150,147,167,67,150,143,159,142,161,152,153,157,157,140,150,149,153,99,155,161,158,164,137,126,126,113,118,121,122,40,29,163,168,177,169,177,92,150,160,106,129,168,175,175,152,170,104,162,168,177,174,180,173,178,109,34,159,56,69,101,19,45,16,7,64,80,50,60,29,24,43,13,19,22,15,29,22,18,16,52,79,34,156,163,155,125,136,139,102,102,96,76,104,85,3,111,147,153,105,110,105,164,99,107,103,91,72,92,74,106,114,45,151,136,158,117,159,127,161,155,134,121,160,37,168,69,158,89,171,152,164,165,164,165,165,162,164,157,162,158,163,168,168,73,154,168,132,134,27,166,158,157,120,108,162,167,128,162,165,130,138,159,167,164,170,165,172,162,165,162,168,149,88,119,109,75,160,161,169,162,166,136,129,140,124,85,70,168,155,156,171,174,171,165,166,153,151,175,174,158,171,170,168,154,167,167,171,167,169,158,159,167,165,158,169,168,163,169,150,166,158,149,173,168,161,172,152,168,174,49,113,35,154,101,143,152,137,109,155,160,145,135,164,150,149,37,145,163,123,15,161,155,141,157,147,164,158,132,164,163,132,160,130,153,123,145,167,99,158,131,157,139,166,162,169,166,125,41,149,156,143,160,160,162,157,159,158,143,130,162,140,146,160,158,155,158,157,158,157,106,157,149,160,154,163,153,63,149,156,158,157,168,166,155,117,163,163,163,165,123,120,119,119,82,64,90,72,64,73,73,97,66,79,82,65,70,71,155,145,131,156,152,161,160,78,96,79,75,121,112,97,77,32,78,79,27,85,81,162,158,165,95,95,46,65,66,37,67,67,77,20,137,47,111,156,107,158,114,114,138,161,157,139,154,117,161,135,125,156,132,138,123,159,130,154,124,148,135,148,163,154,144,159,140,150,131,160,146,115,120,143,125,162,166,165,123,156,166,97,83,149,167,158,162,166,137,161,118,150,154,158,163,146,169,161,144,129,157,165,145,163,147,162,154,143,167,146,163,140,164,163,167,153,160,158,126,145,159,17,4,18,3,32,45,3,4,99,3,14,4,61,3,62,3,158,152,24,148,153,151,137,138,138,145,110,118,136,143,129,132,160,115,114,121,152,86,147,55,130,87,63,106,127,116,123,116,116,87,73,82,147,140,146,141,141,135,155,134,120,148,27,140,155,154,129,152,152,105,139,117,102,17,156,127,149,154,152,145,159,154,135,153,147,156,155,149,155,28,151,149,161,157,149,155,159,146,148,148,152,124,86,141,135,106,134,84,140,126,24,116,105,81,114,108,129,115,106,82,126,150,113,127,134,90,141,124,138,162,155,151,123,116,99,140,149,66,155,155,147,138,141,155,133,126,133,128,131,126,36,72,69,93,75,79,68,125,104,143,45,126,91,81,122,74,83,136,72,89,81,81,92,89,75,77,81,91,89,67,86,68,84,72,80,73,75,73,75,73,71,73,70,71,71,73,85,165,171,170,160,174,167,170,90,169,166,162,171,154,150,170,162,159,141,40,168,164,157,152,171,168,175,152,175,166,172,155,153,176,170,168,164,145,173,159,154,156,171,165,155,157,173,149,175,164,173,166,170,171,171,148,131,149,43,135,29,30,78,3,148,130,147,139,150,140,162,136,146,159,146,17,158,131,163,137,125,138,96,151,111,139,160,140,40,126,130,140,136,127,147,124,129,153,143,135,172,141,130,160,159,141,138,143,121,130,165,132,153,146,102,145,157,145,94,126,163,147,142,165,155,109,134,167,165,143,132,164,148,165,154,130,134,150,163,129,138,166,136,150,164,139,142,139,166,158,162,160,155,155,163,144,13,159,148,144,161,157,18,158,148,161,122,160,163,164,39,155,156,158,152,78,161,164,156,161,163,146,167,155,158,145,157,115,147,145,110,157,163,164,159,138,159,166,168,159,165,167,166,164,161,127,158,149,155,162,131,168,139,89,117,160,164,159,145,165,150,159,136,155,157,161,150,45,138,38,157,152,118,141,152,159,110,163,146,145,163,92,133,155,142,129,157,155,141,150,147,160,140,106,145,99,155,151,155,152,141,156,147,161,122,128,144,157,138,123,127,144,99,144,127,140,167,160,154,153,137,92,148,158,152,143,123,119,164,151,134,124,159,150,167,155,157,121,137,17,167,156,163,170,151,168,155,148,164,154,167,167,143,162,139,156,164,163,139,155,166,145,163,152,133,151,132,155,131,164,151,163,148,137,167,170,153,161,165,159,163,129,163,167,138,139,167,170,112,168,166,152,45,111,146,147,113,131,124,156,159,26,155,148,149,154,137,167,144,131,162,138,26,158,136,144,157,125,161,138,118,125,104,137,124,138,150,137,146,161,158,135,161,159,95,9,163,148,167,140,133,148,135,166,143,161,163,152,148,152,149,138,155,130,163,148,161,136,160,155,155,129,156,151,139,136,145,164,52,139,27,171,50,148,135,130,147,133,139,130,154,142,27,148,148,133,152,141,145,144,154,26,47,144,149,147,151,145,30,140,148,145,146,24,135,143,146,74,155,162,140,132,70,21,117,109,60,117,162,155,123,151,143,150,137,42,147,165,146,112,147,118,26,149,149,106,113,165,143,136,159,168,126,151,164,42,113,29,153,162,153,137,152,138,140,164,158,99,148,145,112,168,146,154,151,156,148,155,153,155,162,155,143,158,145,165,149,159,165,158,132,120,144,159,141,157,166,125,154,131,128,165,154,148,157,149,159,161,155,135,130,154,158,151,57,101,42,144,55,142,147,103,161,134,157,72,154,159,96,155,104,155,159,157,88,140,173,162,176,174,173,174,173,171,173,175,177,174,166,122,152,125,120,28,157,145,174,80,170,171,148,175,162,171,171,162,159,177,54,158,170,162,159,158,158,171,169,175,163,170,169,151,21,164,161,152,168,163,162,21,156,167,168,169,162,157,173,167,145,167,172,176,168,159,163,154,15,162,148,159,156,164,71,72,156,152,155,97,138,159,156,153,151,151,164,154,164,163,165,122,142,136,83,152,157,35,153,105,155,146,151,149,127,129,119,148,59,148,150,124,128,129,123,154,150,116,22,142,62,159,88,48,156,152,145,41,10,158,146,54,161,93,35,133,58,116,40,136,113,143,160,152,157,152,46,146,149,122,135,154,159,45,151,149,68,144,150,150,153,155,104,153,135,32,121,73,176,167,155,154,173,164,174,108,78,168,171,134,171,171,174,170,161,167,171,136,138,113,139,136,77,149,156,135,162,33,152,149,150,144,154,143,129,157,92,141,120,69,22,10,144,150,156,152,154,152,95,145,156,146,147,148,158,25,147,139,162,125,142,163,150,158,143,120,161,159,163,162,150,120,152,147,74,151,142,70,18,160,156,92,11,76,112,146,106,154,107,149,42,119,83,34,9,162,151,66,17,66,136,147,100,130,120,26,154,148,49,126,122,137,159,180,142,144,158,147,155,180,180,95,51,42,23,43,95,119,122,136,114,35,36,133,153,158,143,146,152,136,180,167,141,167,164,147,140,164,161,148,138,180,161,146,145,152,160,155,152,143,164,165,138,34,145,163,167,137,149,161,166,142,159,146,158,72,157,171,150,159,154,127,160,143,165,156,37,169,147,141,157,166,153,150,157,160,131,149,160,163,149,133,166,161,145,160,146,107,162,158,159,145,166,148,135,136,165,152,149,170,157,149,153,159,165,147,165,131,167,154,161,164,163,128,93,167,150,146,163,141,162,171,152,164,172,133,161,142,124,164,145,141,157,161,134,163,149,138,164,140,158,146,157,164,145,147,171,165,160,165,147,151,162,144,163,148,164,165,148,139,180,131,180,162,143,142,140,153,154,159,147,156,160,142,104,158,151,159,162,144,152,153,159,166,138,151,166,143,142,135,172,120,163,141,138,139,159,126,145,145,144,161,147,143,160,143,128,135,146,153,162,139,139,155,163,132,180,110,162,163,148,137,149,157,146,140,160,91,165,81,139,25,160,149,145,139,162,136,152,143,164,148,140,148,150,137,153,156,148,138,161,162,120,159,135,159,141,143,162,147,142,165,150,154,165,26,165,166,145,145,146,159,163,153,166,157,140,156,167,147,164,141,129,171,168,152,153,154,156,162,148,149,155,84,165,139,165,143,135,162,169,162,142,161,138,156,163,163,144,158,166,144,146,158,164,148,150,164,52,167,149,161,147,28,162,146,142,160,109,160,140,139,144,161,148,141,159,144,143,147,146,167,156,162,145,140,153,162,137,161,151,168,90,155,148,135,168,165,151,157,153,148,167,156,166,146,157,157,166,135,49,156,167,169,134,154,149,171,158,164,168,143,145,145,110,161,161,139,164,165,154,155,163,130,167,132,156,91,163,148,149,169,132,140,140,151,138,164,150,144,156,144,166,155,163,168,163,145,157,125,161,164,141,166,166,166,138,163,168,165,163,157,162,142,166,135,180,139,180,84,127,167,163,166,167,168,156,162,167,171,95,166,35,142,165,165,151,165,162,146,35,161,160,163,168,163,166,162,164,166,119,138,131,137,126,144,147,136,147,134,139,145,137,149,143,139,151,139,85,121,136,144,158,168,68,90,117,155,158,164,109,77,144,87,16,3,55,136,159,128,143,153,159,137,139,146,122,145,137,164,148,142,145,133,142,163,137,127,141,151,157,155,151,144,161,150,164,154,144,152,93,163,148,154,150,128,168,146,152,160,156,137,168,141,165,164,54,164,146,137,169,144,161,158,148,151,157,152,163,143,171,27,143,159,161,152,163,158,163,154,163,160,131,144,132,75,162,87,155,146,152,157,140,154,129,154,161,133,125,149,137,149,152,143,154,150,140,132,150,145,141,161,154,97,155,156,141,132,146,151,149,140,152,147,152,154,152,160,148,123,146,148,155,158,151,155,83,84,76,94,86,81,164,157,157,165,163,130,157,149,163,165,125,33,169,157,32,165,38,167,168,157,166,168,170,163,164,165,158,109,169,156,109,170,151,134,168,163,169,29,170,170,172,170,166,64,151,168,165,165,165,170,170,171,159,150,168,166,171,161,168,159,173,165,164,167,156,142,130,87,66,36,144,142,155,151,158,142,160,97,147,154,107,110,160,133,173,163,167,168,168,168,157,159,171,156,168,171,159,171,173,158,166,160,173,159,135,164,174,160,134,174,173,169,159,172,171,158,131,134,128,162,163,13,158,154,164,149,152,163,155,155,69,152,154,158,163,159,111,102,154,143,147,153,155,165,160,55,12,3,105,150,109,91,108,83,96,101,151,101,152,102,103,70,102,121,155,161,122,116,121,101,16,103,117,105,107,146,176,174,117,154,63,150,31,26,68,168,166,175,81,177,170,168,176,144,164,170,173,170,176,176,173,119,125,118,164,147,160,38,165,151,138,132,141,169,171,171,146,152,154,159,123,143,144,154,156,158,152,160,123,92,163,145,155,89,164,150,159,163,162,140,145,149,161,157,159,160,129,166,135,137,45,130,155,154,50,158,159,48,142,157,158,157,54,107,121,161,128,159,134,154,164,157,142,159,145,125,154,156,147,149,153,161,74,18,16,111,120,60,125,30,81,29,151,162,156,153,134,23,144,101,83,144,156,79,125,80,78,155,125,116,141,160,152,157,152,34,9,31,142,139,135,144,38,172,151,42,117,166,159,173,170,165,154,170,170,168,163,168,174,173,162,166,166,144,173,171,160,162,170,169,154,161,172,156,115,170,136,171,149,174,168,172,151,146,148,134,132,155,99,151,158,99,132,132,112,163,143,144,112,88,118,149,162,115,14,157,141,124,139,156,155,147,96,124,146,68,131,150,157,148,82,11,140,166,154,146,148,158,155,162,145,163,166,165,164,90,38,140,146,157,147,160,162,161,162,152,157,140,163,147,158,82,154,163,151,153,129,161,107,137,128,144,129,135,133,152,44,156,159,151,140,138,153,151,142,42,151,74,148,126,140,149,151,147,149,143,144,165,146,163,148,161,154,154,141,163,141,167,156,157,163,158,125,120,146,161,163,125,148,161,158,114,154,169,161,156,163,150,165,132,152,155,168,120,147,167,157,156,163,143,56,12,22,155,105,25,141,66,30,24,39,12,19,22,15,29,22,18,16,52,79,34,43,161,148,154,151,168,152,160,149,152,140,151,153,160,149,161,163,165,162,143,157,147,159,112,160,152,160,150,159,156,158,161,145,160,161,150,160,122,131,126,126,157,93,158,80,144,103,127,154,104,112,165,107,84,119,94,81,154,165,152,169,163,163,171,121,124,78,45,48,91,145,44,128,154,126,158,160,163,156,133,112,29,153,89,75,75,162,93,116,84,158,43,135,74,104,72,143,158,163,101,60,37,54,44,69,119,130,115,121,43,161,111,143,151,147,100,148,156,103,26,152,142,63,155,157,160,161,159,161,162,158,160,167,123,114,123,124,144,30,160,154,139,151,166,158,133,57,159,154,127,151,79,153,158,156,151,156,136,157,161,158,165,118,146,143,134,152,157,149,145,134,160,148,154,166,157,153,143,159,154,155,153,156,150,156,148,155,167,152,145,137,159,121,159,135,156,123,22,157,130,158,136,163,144,157,150,161,150,130,142,159,124,157,142,160,146,160,42,162,114,164,123,161,119,154,153,161,136,132,127,146,34,27,162,147,145,146,168,141,159,162,147,150,159,139,149,152,143,160,161,132,151,148,150,156,160,149,142,161,164,146,104,111,120,110,111,117,108,109,108,121,162,147,158,89,52,154,154,151,119,147,153,151,153,118,138,155,160,153,90,157,115,153,161,105,156,153,166,167,160,163,46,30,103,66,19,98,157,63,8,110,120,123,162,155,168,175,139,170,164,159,173,172,172,167,175,172,177,175,163,153,172,171,165,138,141,137,147,138,109,69,27,157,145,153,145,159,157,157,160,148,156,158,149,149,150,160,155,151,151,145,159,154,152,139,147,147,159,159,159,154,164,161,56,134,134,137,140,133,135,129,140,126,134,23,100,150,157,158,167,155,32,132,112,146,19,90,42,144,148,38,113,92,101,107,84,82,42,145,141,156,146,36,137,151,79,146,156,46,133,118,129,125,125,158,158,104,19,143,152,39,162,156,167,166,166,103,156,165,161,155,164,158,153,164,161,152,156,160,162,152,157,160,76,42,121,66,64,155,151,154,161,149,158,134,166,66,153,148,166,147,164,164,123,153,165,147,167,154,159,155,159,145,147,162,154,158,138,164,125,166,155,167,149,171,140,157,160,144,160,143,168,164,139,164,164,158,26,39,167,146,168,169,146,148,159,174,172,140,78,135,121,31,148,171,170,154,122,147,172,170,170,172,151,147,136,172,170,139,163,170,171,101,166,143,168,176,160,134,146,126,148,49,27,78,169,160,165,160,168,169,144,150,146,166,172,165,145,171,172,174,167,155,159,108,77,170,135,74,113,82,114,76,164,157,170,144,139,161,59,154,129,160,154,156,159,148,149,165,134,158,155,156,157,157,147,159,165,166,40,7,109,105,114,111,122,166,17,180,177,175,155,154,148,170,175,175,171,175,177,154,173,177,176,177,173,135,162,156,53,57,3,153,157,125,157,28,131,148,155,167,140,144,124,140,141,152,154,47,147,147,141,156,145,148,161,159,65,125,140,125,129,147,143,164,152,137,146,140,160,158,167,150,152,153,163,161,158,160,160,160,137,146,164,168,167,162,141,29,156,160,152,124,146,117,115,126,166,145,161,88,14,149,144,154,137,149,156,98,159,152,130,136,135,148,102,140,130,73,153,158,151,148,158,87,156,139,141,156,126,111,154,112,156,158,130,139,105,158,147,162,148,139,83,141,157,149,161,149,132,108,137,151,153,151,168,139,143,162,135,163,138,153,152,126,136,160,88,158,155,62,148,143,163,126,139,163,145,159,127,162,123,162,158,98,49,163,152,160,163,158,142,152,161,110,42,155,107,48,17,63,76,50,60,29,24,43,13,19,22,14,29,22,18,16,123,26,84,83,167,55,9,9,3,27,157,143,159,156,165,153,156,144,155,164,164,160,165,159,159,162,132,107,154,159,162,155,125,164,165,163,161,108,149,147,118,162,164,164,163,137,127,144,141,146,154,138,146,95,54,160,98,141,152,157,149,140,165,170,43,160,165,159,162,160,157,68,156,157,148,161,165,161,162,170,166,38,94,157,123,111,118,136,120,139,63,130,143,116,140,164,140,170,159,158,146,169,165,164,165,152,157,136,126,161,157,169,135,154,166,157,133,169,160,155,149,157,138,155,133,138,143,149,160,146,136,158,149,153,162,141,155,161,158,163,164,142,169,147,156,151,152,146,149,146,158,127,92,163,161,166,6,29,81,164,28,53,78,65,54,30,24,39,27,21,14,29,22,18,16,123,15,13,9,48,168,69,167,151,158,170,170,159,166,26,163,167,170,174,159,171,171,165,166,168,165,173,173,170,175,168,115,148,144,40,139,65,36,155,140,142,149,127,31,134,164,137,146,130,152,135,148,138,153,150,150,158,130,140,168,146,138,159,139,138,84,26,158,129,157,135,45,156,132,157,127,161,123,151,128,118,159,135,158,155,142,154,142,156,148,161,159,118,167,141,165,150,150,135,158,156,146,161,154,155,128,160,162,160,66,43,123,155,145,117,152,136,167,156,162,161,150,136,145,146,158,154,166,162,143,50,139,156,153,137,159,138,162,146,150,137,167,139,129,168,151,123,165,107,167,150,165,166,115,145,152,162,161,127,159,159,166,30,122,164,80,172,73,174,173,121,115,170,34,160,166,161,164,174,173,173,169,163,164,172,129,157,174,175,95,92,167,162,128,128,41,120,170,169,125,136,129,142,140,40,50,127,37,154,150,155,150,140,142,155,144,129,88,140,160,153,146,147,149,151,155,135,155,86,163,162,155,124,134,152,44,138,51,159,31,157,160,157,162,154,157,156,160,157,115,158,160,87,130,18,130,145,160,163,152,91,161,159,146,139,150,158,159,140,156,132,56,161,157,163,147,131,154,167,146,164,115,88,143,149,158,164,149,97,83,152,163,163,163,147,147,142,158,152,163,161,150,88,156,149,154,163,124,155,167,167,140,159,157,140,150,160,150,123,154,138,142,154,161,161,112,156,153,158,164,155,157,110,157,135,151,162,136,159,155,152,150,128,161,141,149,165,150,151,144,146,165,162,158,164,127,151,152,155,162,153,167,152,54,143,116,99,155,153,133,138,54,143,155,144,157,88,59,154,154,157,160,93,13,152,168,46,104,37,167,156,136,132,154,141,141,155,132,138,161,162,161,139,125,148,133,156,137,163,157,146,140,153,153,136,146,147,161,152,159,159,148,62,11,82,79,13,43,15,57,153,30,25,43,13,19,22,14,29,22,18,16,123,150,157,153,160,165,159,158,161,160,163,164,166,162,165,160,152,149,162,155,159,143,134,148,139,146,146,126,127,64,40,72,47,109,93,137,167,145,158,117,151,167,144,166,155,146,159,128,156,145,165,153,156,131,163,130,161,161,169,166,153,170,144,164,150,167,161,147,160,138,153,159,141,161,154,152,159,168,149,164,126,160,158,159,160,156,161,139,159,155,157,157,142,124,164,146,164,153,165,159,158,155,163,155,162,166,166,150,164,159,159,160,143,168,137,159,138,164,161,141,162,155,92,157,164,167,150,132,87,156,151,153,100,89,14,77,83,76,145,142,72,78,147,85,62,145,150,85,143,108,167,125,125,149,147,148,152,159,151,164,141,158,167,144,149,123,161,158,164,155,150,163,161,154,155,64,152,46,164,155,150,156,156,152,162,157,93,150,156,159,161,163,152,162,156,153,161,147,159,154,156,157,156,51,138,118,126,140,28,160,149,134,148,148,149,165,161,138,142,166,159,162,125,163,156,159,162,139,161,131,137,167,141,158,160,127,151,167,128,36,165,143,156,127,166,142,166,119,158,135,159,146,162,150,150,153,68,159,151,153,132,160,128,157,149,135,151,139,139,159,150,147,157,128,155,144,163,125,148,137,158,133,159,152,157,141,162,123,162,143,161,157,157,163,148,155,151,160,144,161,133,165,160,142,145,154,163,151,157,162,166,139,130,160,161,152,124,146,133,161,163,162,154,162,158,167,142,168,155,151,166,130,121,119,126,121,121,115,120,122,148,157,161,164,153,159,162,129,162,135,118,131,123,140,30,169,167,174,163,168,174,171,154,170,173,157,176,125,131,172,161,174,157,169,173,149,168,162,177,180,168,171,140,145,34,159,141,155,158,165,109,122,159,126,129,123,123,150,138,146,127,146,160,152,144,129,139,165,152,145,155,156,26,136,151,152,149,59,147,33,128,146,143,150,152,159,154,114,126,154,155,142,152,160,139,154,158,152,134,158,156,155,125,160,148,150,130,135,165,166,155,133,151,158,121,146,150,160,162,155,130,163,160,159,108,164,153,153,160,126,130,169,154,159,151,125,158,150,161,129,154,143,58,157,128,163,146,147,38,156,117,165,143,158,158,124,162,44,150,165,156,121,96,157,152,165,118,163,146,164,122,170,148,171,161,166,127,167,165,167,129,165,140,159,167,141,75,160,39,101,3,41,3,143,123,155,151,141,161,20,141,153,152,148,154,155,122,154,136,129,157,149,158,168,126,142,162,146,150,160,161,148,119,131,32,152,130,156,151,157,164,159,118,162,109,18,159,131,134,124,157,145,157,161,146,149,164,153,139,122,137,154,147,130,165,156,119,138,150,160,158,146,143,39,158,153,130,157,127,136,78,31,53,155,162,121,161,145,130,138,159,162,155,37,16,149,155,125,163,138,157,167,52,123,162,134,156,158,149,135,154,88,161,58,110,32,163,146,153,157,167,153,161,138,28,110,157,106,127,167,145,131,168,127,149,152,126,160,162,143,155,163,156,131,165,151,109,165,139,115,147,158,143,122,158,150,158,144,163,168,115,170,140,118,160,138,155,160,135,145,160,163,166,157,135,169,155,134,166,167,120,149,167,136,166,152,164,146,137,42,81,14,15,56,85,141,150,127,130,42,141,136,129,30,163,137,138,96,13,166,162,130,152,162,156,144,145,151,124,26,164,115,163,125,162,135,17,157,163,154,148,34,155,163,164,158,120,141,34,152,161,160,39,156,162,133,42,152,160,149,136,153,156,141,131,21,162,156,127,163,159,150,133,157,159,153,168,165,169,169,163,163,164,160,171,158,158,172,158,171,159,34,161,169,174,167,168,56,93,53,42,163,165,169,157,171,165,90,163,164,165,171,40,94,70,160,169,164,167,173,146,157,165,158,168,165,144,145,135,66,54,142,45,96,43,156,118,122,165,44,134,137,97,153,153,134,129,132,125,122,79,8,148,131,136,134,156,146,125,155,130,142,160,165,158,159,148,136,143,126,120,131,148,158,124,138,149,159,156,156,142,127,129,132,126,133,157,161,148,132,29,146,144,127,120,136,139,147,147,142,127,113,103,159,145,150,141,162,165,144,30,153,169,154,162,153,141,136,141,135,147,139,21,126,116,147,156,26,134,158,158,133,158,140,149,153,146,138,165,164,157,166,165,142,128,144,150,143,164,105,165,160,148,166,156,162,162,33,162,163,157,151,152,157,151,158,150,158,164,143,155,152,147,162,142,128,123,161,170,170,134,162,169,142,140,165,175,167,173,164,172,173,171,134,132,95,152,170,168,155,162,147,167,142,114,145,173,175,170,158,58,55,167,168,148,16,160,156,152,127,142,163,160,137,26,3,159,149,126,143,132,152,128,124,147,151,160,137,145,150,157,161,142,157,124,156,126,12,3,162,144,154,113,148,39,3,166,123,162,146,30,3,116,121,127,133,96,8,117,112,75,161,164,178,171,153,157,166,172,173,176,95,111,108,168,153,158,152,149,164,164,158,87,162,148,66,66,45,58,117,19,163,143,87,156,140,153,142,161,151,153,155,158,158,160,145,160,134,136,130,157,145,158,153,114,114,161,97,163,98,163,154,31,151,155,166,148,161,29,152,147,153,156,49,150,154,165,149,159,156,158,159,139,155,163,151,100,143,74,157,159,160,161,165,164,162,150,154,151,148,131,136,121,124,74,74,88,79,70,66,141,59,82,109,23,165,34,70,157,173,154,163,161,165,159,169,169,166,156,155,163,168,163,158,169,131,126,151,109,147,154,157,41,8,42,72,136,150,146,118,27,100,74,72,121,92,74,105,86,86,67,84,133,74,94,136,136,129,78,119,122,112,117,115,160,136,162,147,160,161,156,163,156,151,160,165,155,165,152,162,162,153,153,164,160,151,162,133,146,159,164,162,162,133,163,146,168,148,166,129,37,163,83,81,167,164,165,149,156,138,158,154,145,166,157,139,160,141,158,161,156,124,79,162,167,152,150,166,125,163,165,145,124,138,90,160,157,144,126,142,163,158,155,157,142,155,159,165,154,148,147,133,145,141,35,150,157,150,143,163,153,146,146,153,158,144,153,151,150,102,158,159,160,157,106,145,153,50,114,110,111,115,34,159,148,142,143,137,167,155,17,120,95,123,135,19,141,144,150,101,149,122,114,118,42,51,162,139,154,150,162,137,110,17,151,152,142,153,158,144,157,160,153,127,167,162,156,158,164,155,162,158,147,160,89,116,166,133,162,152,158,159,71,160,140,153,133,157,91,114,136,158,157,151,140,163,134,153,124,158,68,145,100,123,45,163,166,142,40,163,157,137,159,158,146,142,121,120,160,146,157,155,158,159,41,139,105,14,66,166,144,162,145,141,162,134,163,169,132,141,175,139,146,166,169,163,166,133,166,165,140,169,143,169,157,165,170,141,152,170,144,154,144,151,152,48,46,30,162,149,141,156,147,162,115,167,146,158,147,160,113,145,160,150,160,157,95,157,37,120,121,178,174,153,162,166,178,142,174,179,145,175,163,177,155,170,178,176,175,170,178,174,177,147,175,154,175,150,176,179,173,177,158,170,177,170,178,150,176,151,173,172,120,123,122,117,134,30,147,119,139,96,149,155,105,147,152,163,160,164,140,153,147,155,154,121,115,31,161,154,159,147,145,157,159,149,149,157,100,163,153,114,137,122,141,140,141,102,120,77,145,160,157,141,110,152,156,128,162,160,145,135,158,129,40,84,145,151,145,156,168,162,156,106,135,141,158,126,168,160,133,144,137,151,36,13,28,15,165,164,166,168,164,169,168,153,164,165,161,149,151,164,171,160,158,152,151,153,152,163,162,175,168,172,167,170,142,134,155,70,103,157,75,145,157,116,165,157,138,120,162,152,159,149,131,44,155,163,149,149,150,158,139,143,160,131,161,138,151,144,150,165,159,164,138,165,153,167,158,172,163,179,180,49,63,53,38,57,17,78,78,180,180,176,180,179,161,179,178,178,180,180,178,180,179,180,180,156,180,180,155,180,180,179,168,18,154,175,180,69,173,73,35,144,143,109,127,17,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,91,92,134,146,162,102,13,163,165,180,94,33,155,150,131,134,166,160,145,140,137,137,157,149,106,153,142,157,151,148,129,128,127,123,128,152,152,139,131,33,152,117,160,157,139,148,140,153,156,143,125,161,154,33,157,153,163,146,161,144,131,137,161,161,161,142,166,163,162,162,130,163,160,136,162,160,138,158,138,147,164,127,148,159,165,156,158,162,147,152,161,134,105,166,153,151,172,162,154,132,163,46,101,23,152,144,55,61,7,3,147,147,141,146,162,146,149,152,142,132,139,134,146,153,120,130,137,156,155,123,151,127,151,119,154,112,119,133,139,153,139,150,146,111,149,131,149,147,162,137,157,148,141,158,147,136,132,114,153,136,137,135,130,159,144,158,163,129,152,112,160,154,140,23,149,147,155,157,146,163,125,170,151,149,145,106,125,161,147,158,135,160,140,76,148,140,156,160,136,135,151,163,114,158,124,156,148,147,89,162,135,160,153,88,31,173,170,175,176,174,176,174,161,178,168,170,169,175,173,162,173,156,167,168,162,166,147,60,12,159,149,85,65,54,30,24,39,12,19,22,15,29,21,18,16,123,56,12,132,58,64,64,54,30,102,36,22,18,16,123,158,142,163,152,162,166,155,164,164,157,163,159,140,136,161,155,152,165,131,145,106,127,118,139,152,158,158,155,163,158,160,163,121,131,115,143,138,76,169,143,162,170,161,154,173,165,168,128,163,149,153,157,152,170,143,165,154,169,168,167,157,134,144,163,166,123,111,131,146,163,147,176,167,136,152,124,118,105,42,154,156,31,161,159,139,149,151,147,137,141,102,52,157,147,159,139,152,139,146,149,147,159,144,156,157,158,144,159,157,148,136,110,94,100,112,170,157,122,152,124,156,138,148,158,134,96,159,132,167,136,140,156,157,141,151,153,153,80,161,36,138,156,162,163,166,154,165,157,143,148,119,154,159,159,104,152,153,140,148,149,136,152,141,141,135,129,154,165,153,157,142,154,167,139,131,150,147,149,129,146,161,166,156,164,159,156,165,162,160,159,160,157,152,161,147,155,152,144,156,161,158,164,154,167,163,134,164,162,150,155,167,157,142,155,159,159,145,137,162,149,156,155,141,146,154,146,160,167,151,155,153,169,160,158,156,166,154,151,166,119,121,116,80,74,79,74,86,82,74,74,84,75,74,73,73,79,73,150,91,157,153,165,162,150,162,89,150,156,154,101,19,154,161,160,163,156,145,155,160,34,164,159,150,165,155,158,159,158,157,165,158,136,122,133,154,93,75,160,93,85,91,84,91,112,102,152,165,157,157,162,167,161,156,155,149,150,154,159,166,160,167,154,166,158,160,160,159,159,59,29,163,157,140,15,153,162,159,155,156,155,160,157,157,160,151,159,148,165,153,163,161,166,155,162,154,123,129,123,129,115,93,95,92,103,94,96,98,94,100,86,159,160,160,153,155,153,154,151,145,152,106,157,161,151,149,155,96,142,124,157,148,110,136,158,148,125,123,108,148,119,160,162,164,117,120,86,94,91,46,122,149,162,35,86,81,92,88,90,104,90,82,86,95,104,70,98,161,150,164,167,164,43,119,166,167,161,161,155,159,162,166,162,166,69,163,165,160,164,163,159,155,150,153,165,159,157,163,158,160,156,163,163,164,120,95,95,99,74,75,70,158,156,88,114,155,158,154,160,155,155,86,110,162,24,156,153,148,158,155,150,89,119,160,159,106,152,105,155,153,153,154,161,94,105,152,157,154,155,155,159,152,163,158,115,100,152,160,157,159,160,105,106,156,160,132,157,146,167,146,99,109,88,126,62,28,140,72,11,33,12,157,142,154,157,153,102,146,85,96,80,88,103,153,73,85,161,92,83,79,65,102,92,91,99,76,140,56,161,140,136,161,34,156,155,149,157,157,151,86,156,157,138,155,154,133,148,153,156,154,105,154,163,157,158,161,162,143,159,155,159,152,152,152,130,153,135,165,165,148,76,150,156,155,159,152,160,154,152,160,122,133,93,118,91,122,73,124,89,64,88,70,65,70,78,140,68,127,161,47,162,164,105,63,17,155,167,145,152,158,148,153,151,162,153,146,161,91,156,131,157,150,120,152,159,159,147,161,160,148,150,151,151,160,159,138,162,160,157,151,166,148,153,163,156,156,140,156,162,101,103,148,151,152,161,161,162,145,154,152,148,154,122,155,164,170,153,84,160,135,148,159,146,160,159,163,125,153,157,133,128,128,116,119,131,130,125,107,157,150,158,162,143,154,148,124,101,120,165,152,148,150,150,162,163,157,139,159,165,154,154,156,153,147,74,158,157,152,163,131,122,116,87,90,152,152,155,150,158,153,144,140,162,156,167,165,162,127,145,156,94,143,152,150,160,67,157,158,113,164,165,155,156,163,167,157,155,163,164,166,162,162,123,128,101,80,76,76,85,89,99,154,99,131,101,70,98,62,101,149,164,58,154,164,162,160,106,157,163,160,155,161,164,141,157,157,154,158,161,142,158,152,159,159,139,152,147,164,162,156,117,155,164,119,105,133,161,159,164,153,155,162,159,156,167,120,49,3,119,125,25,153,115,87,77,82,96,100,144,155,93,159,160,97,71,82,81,99,79,92,77,76,8,153,155,158,160,88,155,158,167,156,161,157,152,169,156,158,162,161,155,158,152,156,157,167,157,159,157,162,169,151,66,160,117,129,138,128,118,128,119,121,146,143,161,166,85,82,118,84,78,78,76,86,68,79,71,85,70,82,72,90,70,82,78,87,98,100,103,154,161,166,80,33,151,162,157,156,164,67,150,150,163,153,162,160,160,155,45,155,157,152,166,162,164,155,156,153,160,126,120,130,158,113,64,100,71,99,70,126,44,156,155,154,159,159,155,156,149,131,94,95,141,91,153,145,139,151,152,146,121,164,96,159,148,157,141,160,122,146,136,156,145,153,156,163,131,118,83,87,82,82,85,154,162,157,154,150,165,164,165,147,145,146,131,168,168,168,146,156,157,159,155,149,166,156,157,125,156,167,156,91,80,162,163,128,88,76,152,141,170,169,165,109,112,118,116,138,152,133,151,153,110,155,155,152,125,159,78,77,73,77,62,79,93,77,52,81,155,159,163,158,166,153,169,162,159,145,153,66,153,156,160,152,165,160,159,152,154,123,151,153,161,160,152,152,152,155,163,153,144,162,163,125,121,123,121,120,123,118,119,117,155,158,38,161,166,39,11,3,154,168,158,150,159,109,147,152,64,19,165,147,91,74,84,69,144,154,82,70,68,69,69,69,69,69,70,152,156,161,160,155,80,77,72,77,107,161,106,159,125,110,156,158,151,159,149,110,163,19,159,156,161,154,153,154,157,126,126,132,129,156,160,153,160,146,121,145,147,155,131,153,151,150,151,95,148,47,90,147,111,149,151,135,147,152,145,146,141,160,135,123,123,126,115,15,149,144,140,149,103,129,116,127,78,82,100,93,74,93,74,90,88,85,73,94,73,91,113,92,113,80,86,76,84,73,80,81,77,75,82,71,78,87,77,90,76,75,72,28,153,157,153,144,164,165,158,146,40,134,113,43,143,82,89,100,90,81,104,129,146,124,85,105,125,133,124,132,107,85,125,124,132,92,139,142,113,38,153,143,167,133,103,127,72,96,125,146,104,139,160,125,115,118,100,79,65,136,154,159,159,163,161,162,158,152,163,160,158,163,162,159,156,157,148,156,152,116,151,71,129,162,129,166,129,107,119,139,111,120,123,119,158,75,156,121,150,126,147,143,159,166,156,163,157,117,91,149,99,159,165,43,102,108,99,116,77,101,125,133,122,129,95,35,159,158,155,150,145,149,150,140,148,156,155,45,112,116,113,114,101,100,122,126,98,93,92,113,100,100,90,109,78,111,83,60,107,99,114,109,115,82,72,91,144,117,147,113,121,116,126,127,127,136,132,128,149,128,158,141,159,152,51,73,81,60,61,75,68,77,69,78,83,74,86,94,82,80,101,82,117,129,133,94,86,89,85,89,85,88,85,87,84,157,160,152,161,164,165,137,152,153,160,153,100,136,132,103,144,160,145,167,109,165,159,165,161,164,161,161,161,168,139,161,129,117,121,37,133,140,76,144,81,82,80,72,87,85,164,159,121,155,47,154,161,163,147,157,165,64,147,110,156,159,145,66,72,163,158,111,145,162,160,158,124,20,152,162,160,157,87,128,159,30,161,160,138,140,160,159,149,156,148,45,153,111,154,163,164,155,106,157,156,163,91,158,163,163,167,161,157,167,39,165,160,104,160,158,161,165,161,154,137,122,122,154,163,156,159,160,161,153,133,126,142,129,131,161,148,149,113,155,164,150,123,142,73,3,144,160,110,140,80,135,146,17,154,169,151,157,161,110,21,82,145,160,160,148,156,156,168,157,136,121,121,116,117,71,153,74,143,139,82,66,63,7,94,121,99,113,106,132,118,106,99,113,85,77,74,81,38,107,112,134,121,133,128,85,13,158,157,164,155,158,151,156,159,145,141,156,159,146,164,151,157,22,146,160,158,131,148,104,41,159,152,164,159,164,154,153,158,168,117,116,125,93,74,70,66,76,66,90,119,89,94,95,94,94,34,125,99,106,103,41,150,155,150,161,160,113,18,163,153,151,140,130,156,159,160,158,125,132,119,128,157,148,97,125,150,73,70,84,154,118,101,143,149,154,27,136,71,146,163,140,147,161,144,166,164,139,113,101,79,70,90,100,92,82,92,82,72,140,158,151,98,51,7,25,3,12,3,22,157,163,153,159,168,128,28,154,142,148,160,142,163,158,162,160,147,143,157,149,163,154,156,168,163,144,158,159,158,150,152,158,149,165,164,151,162,162,158,155,163,154,160,165,159,158,162,159,155,161,153,152,146,161,154,156,149,157,159,154,161,153,164,163,158,128,117,125,122,108,123,80,72,86,70,87,73,74,73,87,70,75,70,75,73,86,73,72,72,74,72,73,72,73,71,74,69,74,69,74,68,76,69,74,68,74,68,77,67,85,86,87,86,87,85,103,111,144,80,160,159,154,166,156,157,163,23,150,136,163,150,94,133,67,105,154,158,153,152,95,136,32,8,154,80,80,167,159,152,149,159,165,159,160,159,160,163,146,84,97,21,159,163,169,166,155,158,159,156,134,160,166,134,118,126,159,157,151,156,155,157,152,159,147,80,108,138,127,129,85,159,96,134,162,145,151,105,101,134,112,38,158,159,120,144,117,122,73,151,156,159,154,147,142,136,157,158,156,87,24,79,82,97,106,90,91,91,81,87,82,79,161,50,167,54,166,92,147,160,146,148,131,19,63,148,155,93,31,157,138,146,168,26,157,147,132,145,68,8,156,23,121,149,142,161,102,18,154,78,13,146,116,64,106,17,142,163,157,142,154,132,86,93,72,130,150,151,116,98,15,105,125,67,141,149,157,96,14,155,131,80,96,157,80,11,100,151,156,155,134,15,154,52,8,134,70,71,12,120,137,95,76,152,88,14,138,54,152,71,11,127,164,43,7,78,85,33,8,100,144,157,127,17,152,146,66,47,10,149,162,92,14,52,87,79,132,136,95,14,105,159,149,18,159,48,9,96,22,6,95,158,90,12,159,83,120,67,122,150,55,9,147,162,150,106,142,124,103,92,81,72,98,70,87,45,123,79,18,46,159,152,41,148,156,152,160,163,156,94,150,145,149,128,125,145,147,101,118,89,130,158,107,157,137,104,146,150,149,74,153,125,158,156,131,120,86,3,159,152,137,133,126,126,96,92,83,82,93,82,81,155,164,157,150,110,108,152,82,123,147,80,122,91,101,99,111,107,159,143,152,157,158,59,154,99,152,146,152,130,97,130,151,59,17,152,156,102,157,162,156,34,153,148,91,160,111,153,86,49,159,131,140,151,141,146,160,131,87,77,73,75,71,71,79,96,87,35,159,163,166,162,163,171,144,171,165,171,163,153,166,166,154,74,154,165,163,167,165,170,162,155,164,156,91,154,138,151,161,169,158,167,128,123,122,153,166,162,153,167,161,137,163,161,153,156,167,161,155,153,23,98,163,138,146,144,166,159,162,165,163,168,23,125,152,159,164,162,164,169,147,166,160,163,166,165,158,161,158,165,167,158,125,123,126,119,155,94,72,87,80,101,84,89,91,76,154,154,151,164,96,65,156,159,152,152,158,68,155,126,121,156,152,141,90,145,155,152,163,137,153,164,82,153,155,157,150,158,157,155,158,156,154,135,156,130,163,165,124,117,120,100,102,76,68,82,90,87,76,87,95,83,96,100,106,86,72,96,149,152,163,166,153,146,150,150,144,150,154,149,141,136,157,155,152,149,150,159,165,110,154,130,162,162,150,81,159,158,144,155,158,157,157,164,157,125,163,164,141,117,127,125,123,150,97,88,77,85,75,86,79,72,71,69,79,76,22,11,143,159,155,139,139,139,131,159,155,163,162,135,147,162,86,117,155,146,154,154,139,120,137,161,88,74,111,131,79,138,157,152,90,153,93,152,24,137,55,68,75,84,74,12,29,68,77,79,77,71,77,71,74,69,71,74,73,149,152,80,108,75,163,109,87,142,161,150,129,81,148,153,159,163,161,159,130,126,86,86,154,145,151,140,156,83,147,159,153,163,144,142,142,152,80,159,142,102,125,95,163,156,122,118,97,83,85,118,156,153,144,164,47,149,153,160,161,150,147,149,149,157,157,159,159,157,162,158,141,111,115,115,102,81,84,93,78,84,85,83,81,72,76,78,73,76,104,100,85,84,80,86,80,86,90,115,149,17,155,153,110,152,156,155,159,163,155,151,160,160,163,157,162,158,162,152,161,156,152,154,159,149,161,149,148,153,146,159,147,165,163,161,158,158,154,156,162,159,160,156,163,158,152,164,151,156,157,152,161,63,69,157,130,129,125,124,121,15,119,157,157,158,155,141,146,110,133,115,16,165,155,170,114,149,170,156,165,120,122,50,155,156,147,149,159,146,153,151,158,123,139,153,129,142,72,132,116,147,98,83,92,135,125,144,75,127,73,126,152,120,154,89,90,108,136,87,154,77,149,149,146,119,90,161,165,126,119,112,101,115,116,98,92,117,108,79,81,107,87,44,52,66,68,74,101,82,85,80,102,150,155,150,154,136,95,156,162,159,160,165,87,125,145,155,160,153,135,121,133,101,158,158,133,104,132,152,164,120,78,160,145,117,164,85,153,161,151,152,149,155,124,157,36,129,146,94,153,90,108,118,125,166,145,160,162,110,62,159,156,165,52,167,148,166,40,114,132,123,169,165,133,136,67,51,90,164,161,64,37,14,3,66,3,150,160,155,165,159,168,169,150,159,145,159,157,49,161,162,163,148,155,82,160,49,155,167,143,164,38,157,154,161,155,82,152,133,154,164,162,157,157,163,167,160,168,136,18,141,154,84,72,124,104,163,142,156,152,36,157,158,105,162,164,149,86,159,88,157,158,66,70,72,68,158,156,157,159,164,108,41,156,82,54,163,162,150,161,111,150,156,166,120,164,150,157,163,149,140,86,91,94,128,84,70,160,157,152,163,95,80,146,95,78,169,155,154,165,83,70,142,168,157,166,166,32,88,96,77,66,78,89,19,163,165,134,158,149,129,155,166,163,161,160,143,103,64,34,142,155,159,165,91,71,161,164,152,156,132,120,141,130,119,121,120,9,13,20,14,12,7,15,53,23,154,168,158,152,158,160,128,153,129,146,157,127,145,139,164,141,145,161,155,134,158,132,137,160,149,166,165,155,159,154,161,140,155,162,144,150,82,149,149,156,135,131,151,121,141,142,153,140,150,76,146,143,149,157,111,144,131,113,164,152,139,79,31,161,156,150,139,143,136,152,142,160,161,143,106,129,142,112,115,115,153,114,135,90,139,106,66,128,75,108,143,83,97,68,103,156,146,95,127,143,137,101,98,152,90,94,148,143,122,147,125,128,92,11,122,76,120,85,107,81,62,89,96,96,117,96,114,70,98,107,103,92,114,94,101,90,80,120,70,80,149,160,151,161,163,163,142,19,151,154,158,77,151,125,152,157,44,142,102,157,127,158,147,159,151,155,166,126,126,123,123,132,90,84,68,82,75,78,84,74,76,71,81,74,81,71,73,81,78,72,75,90,82,79,42,165,156,39,95,3,160,160,160,165,157,166,152,160,150,159,157,156,163,166,157,151,149,161,163,159,160,32,158,159,162,159,154,131,155,158,162,156,68,158,155,162,155,144,152,152,156,162,123,123,118,112,121,118,121,118,113,150,154,144,162,154,156,162,159,149,138,58,136,154,157,156,154,154,150,144,155,142,158,52,157,152,155,147,141,126,158,136,155,108,127,105,110,165,162,155,153,98,159,163,166,155,19,162,159,153,159,159,164,145,138,141,141,152,142,78,101,67,80,78,79,77,72,111,111,78,77,71,75,127,147,161,149,75,112,80,75,77,105,66,84,56,13,55,75,45,17,59,77,65,53,30,24,39,12,19,22,15,29,21,18,16,121,166,125,154,139,154,154,156,125,154,142,138,151,150,157,157,150,149,159,107,17,146,147,30,148,124,156,98,115,106,162,151,156,84,161,155,146,111,120,82,152,145,83,78,55,121,117,128,155,153,166,163,154,158,42,159,110,156,158,161,116,13,157,162,160,166,162,164,160,165,159,155,29,148,155,162,152,159,154,159,157,164,130,123,118,80,87,89,80,65,89,90,10,99,148,161,163,152,159,163,156,164,152,164,162,99,74,157,161,163,147,161,159,167,155,157,156,155,164,160,163,164,160,149,164,158,83,71,76,70,80,61,88,72,128,132,52,149,62,69,154,123,35,24,39,12,19,22,15,29,21,19,16,121,146,77,157,141,148,147,163,158,155,153,169,43,156,159,90,155,140,157,154,155,135,119,102,18,15,157,157,147,164,159,160,166,97,96,73,54,25,73,71,127,120,123,149,151,143,29,147,137,131,150,156,141,139,119,92,90,89,147,116,152,82,95,115,151,26,99,82,84,130,100,133,115,158,129,123,116,66,74,126,72,72,76,75,111,67,77,70,52,77,63,94,17,23,15,7,35,14,23,161,153,156,151,159,147,156,146,155,144,156,153,159,163,163,120,40,12,163,165,159,171,173,169,172,170,172,171,162,167,170,164,170,162,170,172,168,168,34,156,45,169,171,167,168,170,68,165,165,170,170,130,169,163,148,8,57,118,23,60,156,43,24,39,12,19,22,15,29,21,18,16,123,152,97,153,154,127,34,51,101,149,38,152,163,127,17,144,160,167,169,163,156,79,44,158,165,159,170,161,96,144,168,30,170,165,97,147,165,39,163,161,126,160,168,154,153,151,149,162,139,168,146,153,40,20,100,168,166,166,156,112,162,99,22,159,161,162,154,159,145,154,150,143,155,123,154,165,159,163,31,155,155,161,153,160,32,6,160,164,157,151,159,162,44,158,162,165,161,168,167,167,29,158,166,166,157,164,157,160,163,121,157,158,161,159,160,159,165,165,163,125,164,171,163,133,128,121,86,106,87,56,39,160,157,21,37,14,127,70,53,30,24,39,12,19,22,15,29,22,18,16,52,79,64,88,162,147,157,34,144,155,156,152,147,164,147,121,164,151,46,13,168,156,153,24,156,172,159,159,155,164,159,146,158,169,167,156,134,77,69,161,149,159,146,136,163,147,162,156,157,155,168,153,158,84,120,158,159,141,164,143,157,111,150,148,86,153,158,159,90,157,132,104,152,141,161,169,131,163,145,164,134,164,149,137,161,164,155,125,153,164,145,162,130,158,158,160,137,142,70,154,134,148,143,154,138,142,159,159,130,156,148,165,123,122,151,149,133,166,138,157,136,162,151,158,151,145,150,139,158,131,161,155,59,163,148,142,155,157,139,154,152,165,146,131,157,129,121,158,135,157,123,153,160,161,140,27,67,172,162,118,154,163,91,169,149,94,124,34,94,89,99,100,122,21,28,21,151,152,146,158,132,158,34,160,151,163,29,163,162,126,22,143,149,148,132,151,136,149,158,92,92,93,148,153,18,126,173,91,61,127,89,60,158,89,151,103,163,161,90,159,123,119,100,160,162,167,93,157,110,93,109,97,77,96,120,91,113,129,97,127,123,133,151,111,93,78,82,77,63,76,61,106,85,76,67,100,150,130,149,148,129,129,144,142,146,96,110,139,144,148,127,89,150,137,128,137,81,96,136,116,108,109,127,113,119,114,65,65,85,102,141,21,67,82,67,54,30,24,39,12,19,22,14,29,22,18,16,123,11,138,160,165,167,124,148,123,167,143,154,136,117,152,143,143,142,128,160,149,170,161,134,144,159,141,145,129,163,153,145,163,159,106,91,45,43,29,162,160,150,161,162,163,140,151,118,67,66,102,83,93,53,121,93,132,107,120,126,135,98,84,76,88,77,115,138,127,153,40,160,132,146,35,153,140,125,134,160,137,146,165,35,135,153,151,160,58,153,138,158,154,142,163,136,161,133,162,145,160,128,134,161,146,161,159,153,34,118,152,156,159,152,133,134,154,92,114,127,133,142,112,149,68,144,161,163,115,95,70,80,72,74,65,89,95,165,117,16,158,156,153,160,153,68,158,126,17,119,156,153,153,82,163,162,142,88,88,84,94,92,95,79,100,132,25,161,162,160,107,161,169,172,172,159,169,159,167,164,167,174,167,164,171,171,39,131,30,76,50,48,89,20,163,47,31,22,66,23,163,148,28,170,169,160,169,170,171,89,161,174,13,157,66,150,151,155,161,137,157,138,144,149,163,141,163,155,163,136,157,146,146,141,155,150,161,90,8,164,164,153,169,160,167,167,141,159,133,161,158,138,160,165,159,159,160,33,153,101,152,156,156,157,154,153,152,156,157,105,112,164,155,159,160,160,158,156,160,124,117,126,86,77,117,97,90,67,28,147,47,153,160,149,124,104,148,157,165,159,149,90,164,158,158,169,162,163,159,110,87,142,96,140,160,170,161,162,136,159,100,163,162,157,138,120,110,134,97,86,148,85,77,68,101,88,67,78,82,72,75,157,150,160,153,157,165,160,146,163,156,163,166,166,146,17,163,89,30,150,148,155,148,82,168,136,155,163,167,166,158,159,158,151,165,162,161,166,170,113,115,120,124,90,73,80,75,72,67,63,71,83,66,108,155,123,74,25,89,149,157,158,145,158,33,155,161,168,37,159,167,161,155,152,152,167,163,154,155,159,154,159,153,153,141,162,152,151,160,160,157,157,153,160,155,159,156,159,161,152,151,156,151,157,155,155,154,142,148,160,153,158,162,157,158,160,157,151,155,153,153,164,157,152,152,156,153,161,130,158,39,160,152,153,135,156,160,156,159,163,156,145,160,163,155,162,157,150,152,151,160,49,158,159,143,156,161,155,161,154,158,162,87,159,160,165,167,120,165,151,164,164,163,160,110,128,153,156,153,96,120,124,121,118,119,140,113,129,144,153,159,92,157,142,117,147,153,155,107,101,120,78,73,12,161,64,160,122,112,125,145,57,157,143,152,156,154,146,149,152,156,145,157,136,147,151,153,149,151,145,136,153,164,156,152,45,32,126,129,126,134,133,130,131,133,128,131,128,127,92,136,26,6,64,96,140,140,75,142,145,165,136,136,71,159,88,162,137,150,165,157,140,134,160,165,154,129,148,161,124,131,126,163,151,151,151,149,148,148,128,161,149,158,118,146,149,162,150,123,89,158,128,157,144,133,147,136,139,167,157,137,127,152,171,146,168,144,149,160,163,145,55,35,171,55,68,94,147,154,146,136,145,131,122,166,161,47,152,133,163,160,161,153,148,159,161,159,166,154,157,161,165,166,129,134,162,36,144,162,161,156,154,167,167,158,163,158,158,163,158,156,150,149,140,24,156,159,99,159,147,147,164,174,150,72,164,165,50,79,137,153,154,161,156,153,158,145,153,133,160,152,160,159,153,156,164,119,117,120,109,99,118,74,142,81,88,163,90,129,118,103,75,73,133,84,78,78,86,94,73,138,87,155,139,113,155,153,159,136,162,142,162,146,143,154,155,130,14,165,141,125,160,144,124,167,154,153,142,160,155,149,53,68,164,149,146,150,159,172,148,164,165,47,133,159,150,123,170,159,157,153,157,164,147,162,108,162,162,160,157,163,166,157,164,167,154,151,136,166,159,159,154,152,167,172,171,161,149,168,169,148,154,156,161,163,149,149,166,159,150,162,153,166,156,149,155,124,155,155,152,150,164,44,147,164,150,159,161,164,149,146,156,156,135,135,131,86,75,78,67,59,67,68,46,158,152,158,163,168,108,97,163,165,120,155,146,161,109,122,154,111,147,157,122,171,93,169,163,157,167,120,167,166,140,144,146,80,59,62,148,81,53,30,24,39,12,19,22,15,29,21,18,16,121,159,147,155,155,161,161,166,169,84,146,162,134,110,164,157,147,147,21,163,156,156,122,155,101,155,145,158,148,153,152,159,158,167,160,64,38,155,146,153,161,110,37,135,150,157,158,157,106,83,106,85,84,115,108,56,88,114,56,12,57,100,19,35,15,64,78,65,54,30,24,39,12,19,22,15,29,21,18,16,121,155,58,13,62,79,32,8,58,27,13,64,82,52,60,29,24,43,13,19,22,15,29,21,18,16,123,58,13,62,101,69,19,72,83,52,60,29,24,43,13,19,22,15,29,21,18,16,121,19,157,157,154,157,142,161,160,161,160,168,153,127,82,163,114,121,21,3,137,124,163,152,162,156,145,164,125,116,104,155,137,49,158,147,162,156,140,124,157,143,89,128,82,57,100,124,161,126,127,131,145,156,90,145,108,153,79,86,99,88,101,10,163,82,160,163,135,114,149,123,108,150,78,94,73,110,136,155,148,153,81,82,156,164,138,152,149,154,122,148,110,149,97,115,67,129,128,88,133,120,115,143,153,159,107,113,121,129,24,162,163,168,169,162,123,19,92,82,165,166,170,168,171,171,172,172,174,172,56,163,166,164,169,170,167,169,171,167,170,168,159,169,171,169,168,171,167,162,169,160,171,172,165,169,171,172,167,166,172,170,170,167,170,166,165,169,160,148,164,145,172,171,167,160,169,170,98,170,156,167,172,172,169,173,174,173,156,166,166,157,170,166,168,167,171,159,167,123,129,170,173,169,164,169,169,170,141,172,169,162,156,147,160,156,167,167,155,166,172,167,166,168,164,168,170,166,169,164,166,170,166,172,169,170,159,170,158,167,172,166,172,170,162,154,174,165,171,167,166,168,77,77,70,67,105,160,163,107,160,176,166,170,159,171,168,170,165,173,168,171,159,171,164,172,164,170,157,170,165,160,167,154,169,165,166,171,156,167,169,174,160,172,168,171,158,173,171,167,169,160,173,155,171,171,169,162,170,168,167,176,169,169,173,171,166,162,166,169,171,172,163,172,175,62,164,127,117,170,164,174,162,161,168,165,163,173,168,173,166,172,166,165,169,173,170,169,160,169,167,164,173,166,166,168,163,155,170,170,163,169,174,171,162,170,165,172,170,171,174,175,169,168,159,173,162,174,160,164,166,165,169,155,164,167,167,172,169,172,172,171,172,172,170,166,166,160,168,120,164,169,167,168,174,170,155,170,162,174,165,168,172,172,174,172,164,173,173,161,167,165,172,171,168,167,173,164,174,172,156,170,169,170,174,173,155,167,172,171,171,164,171,168,172,170,168,171,172,159,166,166,159,172,156,167,171,171,165,170,169,174,170,173,171,170,172,169,173,172,168,166,172,166,165,161,171,175,147,166,166,168,166,173,170,168,175,167,172,170,176,170,168,171,176,169,172,172,175,170,172,173,116,135,117,119,123,116,120,128,123,116,123,119,121,138,134,13,58,133,32,160,110,155,106,158,162,126,159,165,139,133,166,156,114,28,157,158,138,162,40,156,142,144,164,141,167,167,147,154,32,8,156,159,156,164,158,166,162,143,140,23,160,153,152,169,167,47,162,168,145,169,159,169,141,21,163,147,142,24,164,163,138,157,34,168,166,150,132,107,164,165,153,163,164,152,147,149,171,166,158,165,148,129,151,75,153,160,165,166,167,154,166,160,163,70,158,157,104,166,155,127,123,48,162,152,164,169,145,165,163,157,158,155,102,160,131,160,149,131,138,127,161,135,156,157,140,127,128,115,138,163,160,152,138,158,166,118,163,157,165,162,134,147,160,34,34,138,36,145,150,139,165,130,157,75,75,165,138,145,125,152,164,139,149,140,153,149,163,140,163,148,152,167,161,152,154,161,145,161,158,156,164,160,167,146,156,40,161,167,157,151,167,167,168,165,137,167,155,165,142,149,162,155,155,160,166,62,153,163,167,160,153,163,158,123,148,141,95,75,96,80,154,88,24,148,158,98,136,151,153,161,162,72,110,112,98,111,158,159,147,156,156,152,22,157,156,160,153,144,145,148,145,151,143,149,154,139,153,155,156,167,77,29,111,104,104,106,24,164,138,162,164,39,155,157,159,158,158,111,113,113,157,159,153,162,112,144,162,64,160,148,104,154,142,152,156,163,155,154,156,120,126,82,89,71,75,91,77,71,67,72,80,60,140,129,116,20,158,143,157,140,163,137,134,139,144,168,129,165,144,161,166,150,167,143,150,166,141,135,140,170,152,131,136,161,168,154,131,127,146,149,155,168,155,136,135,171,50,58,158,147,154,151,161,150,149,142,159,155,160,120,155,154,131,159,155,140,157,142,159,157,156,156,145,146,160,122,96,81,72,80,80,71,84,36,127,21,17,158,56,153,125,164,82,160,147,159,130,148,144,166,162,156,145,162,161,169,49,148,119,71,159,136,130,137,139,157,162,125,137,160,164,149,143,136,156,46,138,151,159,156,151,162,159,162,98,159,128,112,163,18,121,123,11,161,166,166,162,152,160,80,82,71,102,47,9,145,144,158,158,38,144,154,149,150,112,91,92,124,164,161,159,164,148,153,23,155,140,163,130,67,116,161,140,30,70,158,87,115,117,102,136,158,22,136,159,146,86,164,22,7,5,143,145,150,158,145,147,92,12,151,139,155,23,96,86,164,154,31,5,5,153,162,83,152,132,160,108,26,8,144,161,162,138,146,30,48,155,158,152,159,146,150,150,150,158,160,151,156,31,61,155,164,151,163,156,28,157,161,162,151,162,161,168,161,160,151,92,154,162,148,162,158,160,127,156,159,122,123,164,101,32,15,49,79,67,54,30,24,39,12,19,22,15,29,22,18,16,123,148,153,152,22,53,12,54,3,74,122,73,74,124,163,145,160,126,148,159,168,161,160,165,164,155,105,159,148,158,153,110,36,150,152,160,78,147,134,92,119,128,87,148,120,105,52,129,107,140,162,33,24,103,120,128,120,135,145,146,124,23,155,142,155,161,160,151,46,161,151,32,155,145,142,155,162,106,156,108,50,159,167,158,159,156,157,159,127,117,142,155,83,96,113,94,88,96,81,26,156,153,143,153,148,153,159,142,122,93,113,92,148,158,112,149,147,154,78,94,77,115,78,95,130,119,91,133,120,121,143,119,141,158,127,112,116,125,52,25,107,103,76,94,75,96,53,76,89,69,89,68,82,73,96,76,106,114,96,89,105,125,53,151,140,144,22,134,155,51,157,96,139,67,147,147,139,112,156,97,85,153,151,154,142,145,161,150,125,155,48,140,148,146,150,145,151,156,25,153,89,145,147,149,26,130,150,103,148,130,144,158,45,134,32,77,152,163,163,118,53,147,148,164,84,77,155,66,160,139,163,126,168,104,141,137,139,146,156,132,174,140,165,140,159,110,148,146,153,137,150,163,119,158,110,154,150,132,168,144,169,113,140,105,167,154,158,141,165,126,169,130,164,160,167,121,51,111,21,65,83,108,35,24,39,12,19,22,15,29,21,19,16,121,43,121,157,159,156,167,168,141,160,149,161,163,167,166,151,164,169,163,166,164,143,146,165,155,161,53,156,166,156,170,142,149,163,170,52,125,153,159,118,130,138,129,161,152,141,157,149,142,121,151,157,150,156,143,132,136,132,131,128,151,155,139,155,150,136,143,151,133,149,146,163,152,161,163,160,5,76,22,65,3,12,98,3,74,84,26,30,3,169,159,155,145,166,162,166,161,139,145,166,142,165,164,154,166,159,145,166,163,147,171,162,168,169,166,167,159,53,159,146,165,162,135,170,149,155,164,167,166,144,164,143,149,164,170,160,158,165,172,168,166,142,168,158,159,158,98,115,163,141,165,164,169,172,163,132,167,172,171,154,165,166,169,171,163,165,138,128,164,171,150,170,173,163,165,138,161,165,159,147,163,159,161,169,156,164,149,165,166,158,143,168,161,171,137,168,61,160,164,169,128,162,132,166,164,146,151,167,163,172,167,141,82,155,167,126,161,143,165,121,161,169,145,134,166,145,172,169,169,164,120,164,164,169,165,173,134,23,160,141,162,131,163,117,163,170,138,166,128,168,161,164,165,168,169,159,168,157,142,158,146,160,165,164,167,153,161,163,158,117,166,163,159,143,167,164,169,164,134,169,78,163,134,144,164,154,163,147,169,171,118,140,160,152,112,169,171,151,163,163,155,165,175,176,169,160,161,114,132,158,137,164,166,160,120,114,171,121,171,144,169,169,167,145,136,68,162,147,170,146,161,163,171,148,164,169,168,164,166,166,154,146,136,139,144,135,156,89,158,151,130,152,141,148,146,128,159,155,148,162,157,158,153,134,140,162,164,158,151,156,154,129,166,162,163,165,159,160,153,158,93,163,162,164,155,119,161,51,163,159,158,155,150,156,158,25,152,151,159,151,153,157,160,145,144,160,169,30,149,117,118,162,60,163,164,163,165,126,119,119,117,127,121,42,164,159,158,151,158,160,82,151,75,153,143,157,153,160,164,166,160,156,160,28,157,47,8,6,159,153,153,144,168,42,135,169,157,154,164,170,170,164,134,125,117,115,99,75,72,74,67,65,72,50,63,69,33,157,53,142,137,152,152,157,168,165,41,159,166,150,155,145,158,162,157,155,158,151,162,38,166,163,147,157,165,170,163,161,164,157,38,11,159,170,160,144,152,161,160,157,157,136,81,160,159,143,155,157,164,82,169,161,38,8,155,43,160,128,29,164,148,63,124,165,156,166,154,166,39,167,165,103,164,163,126,121,120,125,123,112,87,77,84,76,60,81,73,87,87,65,86,75,117,164,57,98,18,163,143,134,126,19,151,156,149,161,131,133,161,133,161,123,152,47,163,134,151,128,29,154,144,127,160,132,152,153,112,131,158,149,153,124,167,162,150,160,164,143,125,159,141,156,142,142,162,162,160,169,161,132,158,161,159,165,165,166,164,170,41,18,54,141,105,169,162,134,155,124,169,162,172,154,170,162,160,173,169,166,171,144,145,163,138,160,172,171,154,170,163,153,167,153,145,172,142,169,144,166,155,166,170,121,174,158,167,168,163,175,148,149,167,169,173,166,162,168,159,165,170,149,168,167,157,171,171,169,168,168,145,139,46,133,32,163,139,130,161,162,159,163,148,140,164,142,89,148,154,119,162,156,136,148,152,163,158,160,139,134,165,136,149,156,135,133,154,135,165,167,87,159,156,151,166,167,153,165,165,147,162,165,38,112,15,156,145,130,160,145,138,146,154,139,164,139,138,161,134,163,156,147,151,151,156,162,137,146,45,152,149,158,85,164,152,158,164,158,152,163,158,84,150,148,151,164,96,102,166,165,149,77,87,86,89,159,157,82,117,85,77,159,59,90,82,152,158,93,75,156,89,78,153,160,160,122,117,115,110,113,92,82,51,122,43,150,140,117,149,170,163,139,140,145,159,164,111,164,122,152,153,161,47,79,24,160,154,123,112,148,164,154,129,117,158,165,168,151,159,160,167,139,150,161,141,167,167,139,45,157,138,135,16,153,137,131,152,153,148,128,138,165,133,153,152,145,138,77,136,137,167,145,78,157,133,138,165,111,160,151,147,147,154,140,148,144,149,160,155,107,160,170,144,134,162,154,147,157,161,169,154,102,161,147,166,169,155,152,158,170,147,162,143,140,137,148,163,157,132,161,142,41,158,147,112,145,151,158,146,125,159,148,164,150,133,153,145,154,132,152,143,156,139,164,127,159,126,167,101,155,149,141,145,149,157,142,169,135,158,120,131,148,149,151,137,158,140,157,134,152,135,131,134,157,156,164,158,166,144,164,151,151,149,167,158,139,166,143,164,138,133,39,112,19,18,162,48,146,151,161,167,165,159,25,162,141,158,134,132,161,164,133,117,159,148,123,165,138,144,130,23,160,133,134,148,137,138,132,145,164,168,150,86,159,148,153,162,164,170,166,168,156,158,152,158,153,134,165,137,168,142,141,165,159,144,139,141,41,154,159,133,157,167,135,152,143,153,165,170,159,144,152,158,142,168,146,140,155,150,165,161,151,157,158,147,134,142,140,154,164,154,154,150,169,166,157,151,149,156,142,28,162,139,163,144,97,22,156,142,141,130,139,33,163,147,148,159,118,23,154,130,143,164,132,153,145,158,155,156,163,44,156,133,138,160,140,158,121,162,156,141,42,130,33,152,145,135,64,111,143,3,126,81,136,140,144,21,147,163,162,151,162,49,149,43,161,147,125,160,163,99,153,161,44,156,156,150,142,156,107,143,150,37,147,143,128,146,143,148,149,29,154,116,143,155,29,154,152,157,160,140,144,149,157,32,149,150,168,137,155,152,123,150,149,109,156,137,158,163,152,156,135,156,161,154,118,126,160,165,140,16,165,166,165,168,161,165,167,159,163,164,167,165,166,163,160,164,162,168,167,170,131,149,169,149,154,61,95,100,87,100,138,167,158,158,159,172,113,132,138,107,146,140,43,169,173,148,168,172,158,134,163,153,170,131,169,153,165,158,170,174,157,141,171,153,171,154,169,173,158,170,173,165,143,161,147,172,170,153,155,167,175,167,96,169,152,171,151,165,155,164,165,169,170,167,157,173,154,174,170,153,86,171,169,137,165,171,154,175,170,174,170,154,175,146,150,159,140,166,169,150,170,168,136,177,169,150,172,165,159,170,156,167,159,172,173,167,173,163,170,159,149,173,165,168,165,150,161,169,165,173,155,158,170,168,164,152,140,166,162,168,144,157,162,168,172,176,174,171,172,170,148,173,162,169,164,160,175,144,162,166,165,131,169,151,165,144,172,132,160,171,132,168,161,176,165,166,151,173,154,172,171,172,168,153,162,171,170,161,170,165,161,169,155,171,162,177,140,166,156,166,171,170,158,142,169,142,162,171,171,167,169,174,166,162,164,164,170,173,168,160,159,157,168,169,167,174,164,162,166,155,168,168,146,173,175,147,169,166,166,173,169,173,172,136,149,152,156,170,166,160,170,140,172,155,139,157,171,156,149,172,172,158,164,173,151,160,163,164,174,156,169,173,159,173,146,174,167,166,169,172,171,174,173,157,153,166,173,170,145,172,153,172,161,159,172,165,162,172,150,164,162,165,153,140,170,173,154,164,146,169,169,152,169,167,149,172,159,167,171,173,175,158,172,172,135,171,176,142,166,172,153,174,166,170,172,154,172,173,160,168,162,164,170,173,172,141,167,172,150,173,163,173,146,172,167,151,149,173,173,143,170,169,147,173,166,172,175,170,154,171,147,170,151,172,169,158,172,170,146,171,148,156,176,167,168,171,164,174,162,163,172,152,165,146,169,170,172,145,175,164,153,162,167,167,142,169,170,170,156,167,166,151,169,166,166,162,162,157,163,169,160,168,169,144,164,136,162,149,172,170,159,171,165,159,172,159,174,160,178,170,167,168,162,172,163,174,174,156,170,175,172,172,169,162,175,150,171,173,158,171,164,172,167,151,175,175,158,159,173,165,166,163,163,168,145,170,176,146,173,158,155,173,153,176,170,166,151,162,168,166,152,169,170,171,165,175,162,172,172,175,170,165,168,153,167,166,160,167,164,142,169,146,169,168,156,175,173,172,170,159,170,168,155,166,170,148,173,169,164,175,162,157,175,159,168,148,169,170,171,157,153,163,171,154,160,152,176,154,175,149,170,168,155,164,151,150,168,127,173,172,170,149,169,171,174,174,173,69,172,156,161,173,160,149,170,125,155,171,158,136,161,175,170,166,157,147,160,169,153,175,151,165,161,165,169,176,175,154,173,174,176,153,171,121,175,165,176,149,156,172,132,169,147,175,173,153,168,160,172,161,167,172,168,171,167,155,169,171,153,168,176,165,172,147,170,165,127,175,148,175,162,171,162,159,175,147,176,161,143,171,170,133,173,164,173,154,172,164,165,154,168,174,138,175,165,169,174,146,149,174,172,157,169,160,145,171,135,170,159,171,162,174,166,155,156,168,138,170,166,163,169,166,155,160,166,156,171,171,156,173,165,172,173,154,167,171,175,166,171,158,173,149,171,164,171,166,170,171,175,168,174,170,150,167,158,171,171,168,168,166,163,172,164,166,168,163,132,158,173,169,153,153,161,165,170,163,171,175,134,174,159,173,155,168,159,162,170,145,172,165,168,168,147,169,156,168,161,175,168,170,164,172,172,169,170,175,173,172,173,29,121,140,134,146,137,130,122,130,131,140,140,127,131,130,53,129,133,132,127,125,131,127,115,128,133,128,128,132,123,145,125,132,133,118,130,128,124,134,127,131,136,136,137,149,122,145,136,119,127,137,141,125,118,126,87,134,128,142,150,134,22,147,157,143,134,35,37,58,46,169,166,158,134,171,169,39,166,160,141,157,168,163,154,142,140,147,165,161,173,163,165,166,163,162,170,149,154,157,139,156,152,163,162,166,159,167,126,150,164,156,168,149,172,157,157,165,140,168,167,167,169,154,151,165,148,168,54,167,148,159,155,162,154,163,162,164,146,153,163,167,169,171,166,169,168,162,165,164,144,152,170,168,160,153,131,138,167,166,168,169,164,144,156,149,154,149,169,165,170,170,167,165,159,165,143,129,147,136,169,168,165,45,168,159,141,169,170,168,164,166,166,165,172,162,172,166,159,172,161,130,146,146,149,138,54,106,20,151,156,167,167,161,159,166,161,166,158,169,170,123,61,94,171,164,167,158,151,107,129,173,170,86,165,173,80,170,168,48,93,3,134,172,152,173,158,150,170,161,159,164,146,156,164,169,172,152,129,166,130,78,167,154,151,167,159,165,167,164,164,151,164,164,149,162,167,171,155,155,170,157,165,167,157,155,161,155,171,169,161,150,155,162,159,165,169,166,155,161,163,145,162,138,159,162,161,168,151,158,165,171,138,168,163,167,167,153,168,158,173,116,167,169,164,160,167,155,163,155,158,163,147,163,167,154,156,158,165,160,148,168,150,167,147,143,140,158,156,163,159,169,168,170,169,159,159,166,174,164,164,153,165,171,162,156,151,169,155,169,165,161,165,169,160,151,167,135,153,122,172,163,155,167,160,165,171,162,164,173,172,173,136,147,165,172,169,167,135,170,146,163,145,172,148,160,165,168,159,163,163,160,161,167,151,165,158,147,166,124,169,134,170,170,162,170,169,170,168,159,160,169,163,162,162,82,167,168,168,171,171,175,168,165,172,165,172,153,152,164,170,163,167,156,164,153,157,130,145,167,167,142,169,168,162,159,175,155,165,167,166,172,168,163,172,156,154,167,149,153,167,171,166,143,142,122,129,148,123,123,122,138,134,120,124,130,127,120,145,140,113,130,140,125,158,156,156,159,158,165,161,155,164,160,157,161,164,165,163,155,108,19,162,158,161,154,155,166,163,158,161,164,166,164,160,163,115,163,129,52,92,38,157,39,9,3,157,121,151,40,146,139,151,133,148,155,152,158,121,140,36,153,157,152,119,145,78,143,161,146,158,122,163,150,160,154,159,160,159,158,147,158,167,150,141,162,142,139,169,167,149,151,161,129,165,141,160,158,130,157,165,145,144,168,169,168,165,163,165,150,157,164,168,140,131,141,166,141,123,168,146,161,129,146,168,124,167,164,162,167,167,143,156,164,153,163,163,146,165,175,158,169,168,157,139,169,175,132,170,160,146,167,147,159,151,160,171,160,158,172,167,137,144,134,152,160,150,165,151,160,158,164,138,170,149,161,164,146,154,162,152,173,162,174,145,127,158,153,169,158,162,143,167,151,147,152,129,159,161,150,149,172,161,156,151,168,144,169,134,146,164,133,160,147,142,138,143,148,60,145,100,149,133,148,144,108,47,157,131,140,155,124,130,157,147,145,158,151,142,165,143,140,159,145,149,145,122,153,163,147,149,149,96,142,144,137,114,142,129,148,134,161,153,162,158,128,163,48,89,153,56,157,143,166,149,156,166,146,33,148,152,148,129,147,156,127,109,159,140,152,142,144,112,109,27,163,155,163,152,161,148,146,167,168,169,164,149,113,147,163,158,154,167,135,160,42,87,12,155,163,160,160,151,156,163,154,164,160,162,164,159,159,154,154,164,161,122,28,164,163,166,139,160,131,161,142,145,159,159,147,144,168,166,155,134,156,165,140,155,154,158,149,129,165,111,147,144,162,141,165,129,152,125,162,159,155,151,153,159,155,154,162,156,153,152,163,168,160,147,150,152,159,112,88,45,157,157,164,152,164,106,163,165,158,164,107,169,112,162,150,167,161,152,144,156,158,99,142,147,155,162,96,155,109,166,162,159,131,133,133,42,113,151,161,152,156,147,151,141,146,154,152,156,153,88,145,34,142,159,141,152,141,143,136,160,129,135,156,140,154,163,151,155,131,151,152,135,154,167,138,143,159,160,134,161,158,162,141,159,165,169,167,138,157,159,148,135,160,152,153,161,165,157,155,158,143,157,164,134,28,156,149,91,89,157,134,150,150,165,155,125,160,162,159,139,120,142,156,16,44,93,28,88,141,146,159,153,151,129,161,140,152,135,163,159,121,145,156,150,162,158,158,159,165,120,130,126,155,148,126,158,156,132,161,144,159,134,146,157,151,144,143,155,143,164,158,152,152,164,133,149,121,161,152,102,133,153,133,147,139,155,140,168,128,153,114,130,131,119,166,150,38,162,154,144,141,165,124,147,138,167,120,154,138,54,139,142,136,153,159,152,142,164,128,162,166,157,19,8,3,59,3,164,172,168,171,163,152,159,160,160,166,165,167,167,162,167,169,165,158,169,154,155,168,158,175,167,173,160,152,162,166,171,167,163,171,167,162,170,167,171,168,171,172,169,168,170,167,165,169,165,154,167,128,170,146,171,158,111,171,118,151,161,163,173,140,25,3,116,163,170,164,165,163,153,163,163,158,165,165,154,152,164,168,166,164,162,149,172,170,172,155,164,142,168,168,162,161,166,148,120,165,171,166,167,163,161,167,161,160,167,168,165,96,164,163,162,167,167,131,149,169,164,172,169,166,128,116,122,115,115,109,117,118,120,45,159,28,108,16,8,34,52,128,43,50,23,145,145,107,51,170,160,157,156,173,171,172,172,161,163,171,155,166,166,169,157,162,166,166,174,168,163,145,170,152,168,149,157,171,170,169,169,168,125,125,158,164,173,173,150,134,137,53,123,43,69,43,37,30,154,158,34,144,157,158,145,133,155,143,118,158,135,164,132,158,138,162,141,131,162,164,133,151,158,162,123,158,151,134,75,126,150,154,100,148,145,154,146,158,154,154,168,106,162,27,146,166,165,134,167,160,108,160,157,147,163,159,117,47,120,29,32,9,19,3,165,150,163,138,130,148,170,141,139,120,130,133,156,149,134,112,155,159,163,137,146,158,146,122,161,168,166,103,163,142,152,159,166,162,22,150,133,135,161,162,133,155,109,149,147,132,144,161,153,134,158,156,142,159,149,144,155,133,156,161,131,117,144,163,155,155,156,156,151,161,157,161,151,155,148,166,123,142,72,88,65,62,32,95,138,147,151,126,119,141,140,141,151,161,117,121,139,158,129,157,148,75,8,8,147,133,120,166,155,148,110,115,139,138,108,118,152,154,112,113,108,156,138,156,134,117,163,159,117,112,18,160,107,112,137,163,163,143,112,128,145,104,108,121,25,154,107,119,162,151,110,109,160,110,147,159,131,132,167,153,125,113,115,143,154,141,122,160,137,23,157,123,149,155,124,147,112,36,155,148,154,133,77,150,112,158,140,158,133,117,125,157,149,107,83,154,153,138,156,135,123,137,164,116,131,162,109,141,161,166,117,117,109,159,142,148,155,130,111,116,158,145,107,117,160,144,124,109,163,152,113,158,132,112,158,148,125,150,164,126,114,126,155,139,108,153,159,108,116,168,161,149,160,125,148,165,157,114,115,161,157,114,113,146,163,164,114,159,149,139,143,155,130,158,147,156,132,158,160,157,109,160,150,116,158,139,110,151,158,145,113,125,162,166,130,109,157,133,149,147,140,132,145,137,167,130,148,151,130,136,165,145,138,169,136,21,159,161,138,154,106,155,130,161,170,146,150,112,121,158,60,148,139,148,162,116,163,155,135,113,30,7,6,151,159,117,110,128,158,153,114,113,159,152,143,152,138,149,142,152,144,114,136,138,116,149,161,122,119,150,159,115,157,141,116,13,154,104,162,111,124,25,82,155,76,142,97,147,167,168,127,157,153,140,138,127,154,138,77,155,158,92,100,152,103,80,93,40,165,168,170,172,171,174,170,173,170,167,172,175,168,170,171,168,158,159,169,175,170,164,167,107,168,168,167,168,166,166,174,170,173,168,163,167,168,165,70,174,44,168,172,170,170,161,130,68,111,21,144,160,156,167,160,155,155,161,169,146,142,166,165,147,130,168,160,141,144,123,162,92,147,167,161,168,155,161,157,53,20,156,124,85,79,147,158,163,113,164,66,165,161,162,162,161,120,160,47,99,31,15,157,167,68,25,3,69,39,20,3,155,162,150,164,164,158,169,166,166,166,165,153,151,154,163,164,165,171,169,49,159,167,74,161,162,167,163,163,157,169,139,164,158,165,162,161,166,154,170,155,164,165,170,160,93,139,143,164,160,147,162,149,162,155,170,154,166,163,159,164,162,167,161,166,159,164,163,168,162,166,154,170,164,168,161,161,164,52,158,158,160,150,158,165,153,156,165,165,173,168,153,164,162,157,169,145,164,161,169,165,167,151,26,158,132,167,165,151,165,167,163,161,151,160,165,169,81,159,168,162,165,167,172,150,162,163,162,171,152,50,17,163,164,158,148,168,148,125,155,65,160,169,150,160,160,163,166,169,156,165,165,161,134,159,168,60,165,161,164,157,161,154,161,164,163,163,166,166,162,146,163,170,161,169,151,167,167,157,168,158,166,163,166,170,166,171,158,15,11,146,69,125,105,50,133,139,140,43,147,117,136,138,118,23,136,31,19,81,54,65,15,116,115,27,27,77,141,136,142,136,143,131,143,148,134,134,129,133,137,138,138,23,134,92,108,107,103,119,116,93,125,66,118,113,64,62,126,126,50,79,13,169,172,34,173,173,32,163,139,13,161,165,161,154,164,174,95,169,167,169,171,139,130,143,134,141,148,141,128,132,118,131,134,133,119,134,135,135,145,156,148,144,146,137,158,132,137,136,122,137,125,143,123,120,114,156,83,30,24,39,12,19,22,15,29,22,18,16,52,79,6,55,115,22,58,156,43,24,39,12,19,22,15,29,21,18,16,123,55,116,22,58,155,43,24,39,12,19,22,15,29,21,18,16,123,46,24,117,28,120,17,127,150,140,148,150,141,157,147,156,98,138,156,158,142,159,142,161,158,137,15,146,139,145,130,153,166,132,140,153,91,137,155,142,151,135,167,160,171,147,127,146,160,165,153,153,153,143,152,151,146,158,154,124,56,12,52,116,23,54,156,43,24,39,12,19,22,15,29,21,18,16,123,109,148,134,136,161,159,118,146,164,157,135,167,139,164,45,83,155,142,146,156,164,51,152,150,71,159,40,151,154,30,160,37,128,121,134,130,152,122,147,83,63,80,61,80,154,164,161,129,115,119,35,110,28,67,160,141,149,159,143,161,159,140,159,133,134,167,157,150,136,154,157,162,141,129,141,165,158,161,155,162,142,150,141,144,155,141,78,163,162,136,151,162,139,137,163,163,124,155,160,147,153,152,144,143,158,162,164,158,152,162,159,135,142,159,163,159,119,155,153,131,153,156,163,166,142,152,167,158,147,148,164,161,137,167,162,152,160,108,158,78,158,27,7,3,39,154,165,173,165,119,155,156,150,147,163,160,154,165,161,158,120,120,157,162,157,168,156,156,144,160,163,154,164,157,153,158,162,165,128,131,119,110,152,161,152,147,86,150,146,116,152,160,160,154,164,161,120,86,139,161,156,164,170,162,162,165,163,160,157,165,165,162,162,164,131,124,129,113,134,118,126,56,134,70,99,127,160,146,161,124,121,145,162,151,105,152,156,162,151,136,121,114,147,139,158,165,157,158,157,161,161,153,154,158,155,152,162,157,158,151,166,144,155,162,153,155,153,133,171,146,157,131,68,141,165,151,165,167,171,162,167,168,168,166,152,142,158,166,166,167,160,162,164,156,92,82,168,170,139,143,135,135,133,45,106,159,162,150,110,130,143,90,101,56,107,84,130,83,58,108,95,137,77,82,112,131,154,145,59,159,116,159,167,166,145,171,168,133,145,154,164,138,112,151,165,116,130,159,145,117,158,135,110,151,162,168,169,143,157,162,160,119,161,135,141,144,131,143,169,150,169,139,11,165,122,135,140,143,126,29,169,170,28,140,161,158,134,34,124,148,107,134,151,159,144,167,158,158,143,160,37,169,160,122,134,152,167,169,157,145,141,32,37,25,154,146,142,158,41,133,165,131,164,152,134,76,149,144,158,152,143,147,157,145,159,160,171,146,146,169,120,155,144,138,159,149,166,144,158,155,126,167,127,153,166,129,163,134,167,150,164,147,119,164,131,158,45,32,3,50,3,7,86,3,7,32,3,79,139,155,160,159,154,29,144,140,157,157,151,161,43,152,135,51,109,130,158,108,113,58,88,132,121,132,82,128,132,97,129,145,112,85,32,160,130,128,83,158,141,87,141,156,158,54,137,140,152,155,151,153,47,159,138,112,105,147,166,132,53,25,135,141,91,86,88,139,131,97,122,149,94,131,124,140,141,160,53,151,150,142,155,37,150,160,130,85,90,147,89,80,155,93,64,93,65,144,136,73,40,137,82,91,116,124,126,158,89,134,33,162,70,143,127,156,142,150,161,138,154,147,123,151,144,146,152,153,144,147,148,160,163,144,147,138,165,158,158,163,156,126,125,134,155,143,122,164,160,132,130,123,159,143,151,160,165,158,143,144,139,168,147,121,150,159,164,118,161,146,134,151,159,157,121,140,163,139,165,163,160,139,158,159,146,156,167,142,163,149,157,156,152,151,157,149,126,141,150,146,134,162,142,140,162,164,123,142,167,156,143,148,152,131,159,148,143,149,134,160,139,158,133,170,161,130,162,166,150,142,156,136,146,139,158,132,167,168,155,153,150,141,164,163,138,151,170,152,123,145,164,169,161,148,162,32,72,163,147,157,167,159,151,161,145,171,170,160,166,121,84,75,166,155,167,161,144,129,170,144,164,170,166,111,69,77,55,153,166,163,171,170,169,163,168,160,130,126,118,58,81,164,163,161,170,165,160,156,164,160,166,164,166,160,160,156,152,163,153,105,156,157,158,148,161,155,155,155,162,161,140,131,143,128,148,144,15,41,104,104,140,128,137,157,129,157,160,126,141,159,146,165,150,146,142,161,161,157,164,117,122,166,153,157,150,150,166,131,158,161,165,162,162,151,95,163,92,104,158,151,161,150,154,161,93,150,68,169,166,158,157,143,102,157,88,142,89,165,166,140,163,167,159,117,111,140,164,151,166,78,168,129,167,166,155,169,170,158,165,122,160,135,143,162,162,157,150,170,168,167,167,166,161,143,56,57,73,32,8,36,26,13,65,77,50,60,29,24,43,13,19,22,15,29,21,19,16,123,62,14,132,82,13,33,22,13,66,154,30,25,43,13,19,22,14,29,22,18,16,123,159,160,159,17,168,144,150,156,161,162,160,176,171,170,167,172,166,81,127,159,171,33,78,50,61,135,103,171,168,158,170,172,167,172,108,162,174,163,78,169,146,170,164,166,166,165,164,165,171,172,164,168,144,148,158,162,165,151,163,149,155,155,154,164,162,168,75,168,162,140,163,155,141,163,149,151,160,156,152,167,144,158,166,152,166,156,170,163,150,173,170,161,158,39,165,161,155,170,142,167,156,148,148,165,125,163,153,168,160,152,168,153,155,154,167,149,162,152,148,158,160,154,156,154,168,100,74,163,156,158,169,136,171,146,166,157,168,155,169,161,154,162,155,162,155,153,163,103,148,143,142,153,141,122,164,149,153,161,85,159,163,159,162,164,158,160,154,162,134,157,164,153,164,105,149,164,102,162,154,155,155,141,145,141,163,139,141,106,91,122,123,133,117,137,133,57,161,159,115,23,163,171,159,160,164,159,158,167,162,155,168,149,172,166,166,166,158,165,164,160,166,158,163,161,166,163,145,105,154,150,151,86,163,33,16,155,155,156,123,161,166,154,160,130,155,164,167,158,167,167,162,143,151,155,168,159,156,159,162,145,154,163,133,130,131,45,74,136,95,70,42,22,143,140,123,164,156,16,154,155,151,131,122,134,166,158,154,135,144,137,152,125,139,157,149,134,144,152,84,124,138,154,158,157,142,59,143,151,155,161,153,138,137,126,115,136,154,116,156,144,136,136,132,135,136,149,117,124,158,155,131,135,147,149,151,141,140,162,152,144,152,123,107,159,162,155,145,162,130,144,163,164,138,120,121,131,164,137,132,128,133,153,165,160,166,164,117,154,123,151,161,120,133,151,161,150,156,156,131,137,133,116,144,150,137,156,154,155,140,117,124,123,128,155,166,160,164,140,110,150,143,153,140,137,127,133,154,163,162,142,128,150,138,114,133,126,164,157,149,157,140,162,149,129,131,124,128,131,160,127,139,129,124,125,163,164,163,147,156,136,149,135,154,148,164,154,158,137,132,132,120,133,137,113,142,151,157,169,154,162,153,148,152,129,171,134,170,69,166,168,169,170,161,174,156,172,167,138,176,170,170,162,171,161,160,177,167,164,153,170,168,167,167,142,118,154,115,42,14,73,79,50,60,29,24,43,13,19,22,14,29,22,18,16,123,33,170,168,175,174,174,173,175,171,56,58,73,32,8,49,16,67,79,50,60,29,24,43,13,19,22,15,29,21,19,16,123,166,167,70,159,162,163,131,60,125,164,149,87,161,147,147,156,151,164,93,148,22,165,46,156,155,163,163,168,159,166,158,51,155,158,159,161,162,162,166,158,159,160,152,167,153,164,168,171,165,162,158,163,162,158,155,151,166,167,159,166,161,150,122,130,143,158,149,157,164,158,167,163,161,163,168,167,77,155,160,162,161,159,158,157,166,166,165,161,156,153,170,156,52,161,159,167,158,170,167,151,169,149,168,172,168,164,158,147,169,166,133,125,139,34,155,162,161,142,152,98,133,168,165,165,170,166,136,168,168,170,168,172,170,132,151,155,152,152,159,152,143,72,163,166,172,162,173,158,170,171,173,167,173,171,167,169,172,138,171,170,169,171,171,171,162,167,167,173,169,171,166,26,126,147,154,141,145,155,156,163,152,97,155,161,154,147,134,143,48,118,153,152,140,136,155,159,162,150,91,146,95,157,126,158,141,159,153,165,169,159,54,78,135,143,147,166,56,163,164,148,153,102,106,153,118,167,92,91,150,159,28,154,151,159,150,166,134,163,155,147,158,154,168,145,155,145,163,163,146,162,155,163,146,94,162,158,165,153,162,125,133,152,154,166,145,159,164,171,120,149,147,155,117,175,172,166,178,177,167,176,176,177,173,172,173,176,179,170,169,172,163,174,162,178,174,159,148,157,176,176,162,168,132,143,130,103,75,32,8,52,17,62,78,65,54,30,24,39,12,19,22,15,29,21,18,16,121,62,13,31,68,77,59,8,42,16,63,66,46,59,21,25,43,13,19,22,15,29,22,18,16,52,79,152,146,162,166,107,164,163,154,168,153,169,173,159,163,169,167,167,164,154,164,154,174,167,166,146,147,171,155,133,169,173,169,161,164,164,165,168,171,168,165,166,160,167,162,168,170,167,165,148,156,144,55,10,154,112,43,15,71,77,48,62,31,24,40,13,19,22,15,29,22,18,16,123,31,136,152,165,143,138,152,161,123,149,93,155,125,161,163,165,142,124,137,144,150,147,43,157,111,135,118,139,156,149,122,27,147,150,140,162,166,160,148,167,163,155,174,158,166,172,170,172,153,171,173,156,171,174,155,161,164,169,172,165,160,159,149,89,74,161,148,171,171,129,120,171,155,113,145,21,153,153,157,141,143,156,90,61,123,82,16,157,159,35,154,39,158,46,160,135,60,86,66,90,65,117,157,156,149,147,167,142,168,41,161,124,141,161,143,157,148,144,156,159,128,157,154,160,164,147,168,141,152,166,153,163,160,117,163,164,153,152,157,164,163,162,44,12,58,132,137,156,166,131,111,140,150,160,89,98,158,53,125,161,156,141,82,147,156,163,154,144,140,142,154,169,39,113,42,98,155,160,160,164,115,132,152,82,138,97,161,90,97,101,136,160,159,155,142,142,157,39,13,147,162,140,148,163,165,165,134,157,163,148,171,99,158,150,100,157,38,159,149,132,149,154,156,74,133,164,71,150,150,163,33,46,147,143,156,108,145,112,162,138,161,157,47,84,50,150,149,154,156,109,155,30,160,148,127,164,68,154,164,161,151,162,125,158,155,159,163,166,42,163,99,92,51,126,156,163,136,162,51,64,131,166,95,44,145,157,154,118,155,155,64,80,148,143,162,166,159,160,134,30,126,148,165,129,146,81,159,150,160,143,34,154,145,155,164,162,167,153,153,119,159,103,142,103,157,113,154,160,119,157,159,159,158,138,67,157,171,151,158,125,136,29,165,159,165,165,161,125,139,163,70,164,139,157,153,159,158,128,78,149,165,158,160,153,95,162,110,162,151,122,161,163,165,138,111,164,164,160,166,38,158,139,153,160,145,160,161,158,161,154,163,166,161,145,164,166,144,155,157,166,149,157,156,164,144,148,145,125,159,164,155,157,166,170,161,163,145,114,28,50,166,173,162,129,156,158,160,151,142,164,169,159,158,166,158,166,176,158,165,163,151,162,119,145,157,142,160,171,163,164,166,136,158,156,163,161,163,166,134,128,120,20,155,142,160,148,157,144,155,159,134,152,157,159,153,133,101,141,127,109,154,155,152,155,154,152,144,155,139,156,159,153,122,111,108,17,104,142,164,125,119,151,155,79,154,146,81,86,71,136,145,147,103,95,75,151,168,120,59,95,96,90,23,165,154,89,29,168,137,132,159,62,165,162,166,157,160,164,160,161,33,163,159,163,158,154,127,116,21,43,131,151,138,142,126,143,134,136,140,39,166,152,153,145,162,150,149,161,161,151,120,176,169,179,171,177,178,178,173,170,136,172,179,175,156,172,175,170,166,172,158,148,172,173,148,171,177,169,174,165,95,147,150,154,130,138,159,162,52,115,84,70,149,32,8,121,34,155,148,33,154,155,128,167,147,153,159,130,159,35,164,137,169,158,43,160,150,162,142,141,156,154,156,156,163,159,153,158,142,168,152,158,163,137,160,155,134,152,157,145,161,154,140,161,147,120,163,149,46,136,141,152,160,150,131,165,161,134,160,137,146,157,149,149,148,96,168,130,161,155,160,153,138,158,161,157,45,144,167,167,154,145,160,143,157,72,149,142,154,166,83,145,161,168,72,160,158,152,158,39,156,134,103,160,140,154,168,159,83,13,157,159,151,162,159,155,164,165,160,155,162,151,80,13,106,76,106,97,107,90,98,106,101,107,105,104,105,118,108,114,103,108,75,15,114,98,111,101,8,22,111,108,103,100,104,108,111,107,101,122,107,111,106,104,102,97,128,115,121,123,47,5,130,121,121,76,144,126,62,9,144,160,150,153,124,52,32,106,33,140,152,149,146,145,159,158,146,31,132,142,154,137,27,142,144,149,40,159,161,137,148,65,131,164,106,156,106,156,50,8,158,127,159,156,138,91,13,163,124,151,138,156,165,164,149,150,159,145,144,142,140,152,146,162,102,161,165,168,154,159,143,167,41,160,141,164,162,162,153,161,156,146,103,131,148,153,45,157,153,159,157,31,113,155,165,168,169,162,165,157,134,126,64,7,153,145,116,41,171,79,151,26,172,59,172,167,160,167,158,160,168,152,167,171,153,175,162,161,165,166,171,172,132,145]

indexes/colbert_coarse/index/fast_plaid_index/ivf.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24a0456cc74728a925ba2cbd8e385d3fdfe9911792f95478a1eb06ba0dae14c6
+size 33431280

indexes/colbert_coarse/index/fast_plaid_index/ivf_lengths.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fcf18854aceca2a4227d9178c8100cc2054180d0b77af9707973bf7ce8e02ce7
+size 131152

indexes/colbert_coarse/index/fast_plaid_index/merged_codes.manifest.json

@@ -0,0 +1 @@
+{"0.codes.npy": {"rows": 3360039, "mtime": 1779056210.8465273}, "1.codes.npy": {"rows": 2830028, "mtime": 1779056212.6149714}}

indexes/colbert_coarse/index/fast_plaid_index/merged_codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fbccb79dc275ba43f69ec308b827b125745ccf267bab561e2e2307439e820dd
+size 49520944

indexes/colbert_coarse/index/fast_plaid_index/merged_residuals.manifest.json

@@ -0,0 +1 @@
+{"0.residuals.npy": {"rows": 3360039, "mtime": 1779056211.4634984}, "1.residuals.npy": {"rows": 2830028, "mtime": 1779056213.1242409}}

indexes/colbert_coarse/index/fast_plaid_index/merged_residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73590e8c3fc93c45cc574766f987bb45046a02af6bb2a76127fef1385d8aebc2
+size 396166656

indexes/colbert_coarse/index/fast_plaid_index/metadata.json

@@ -0,0 +1,7 @@
+{
+  "avg_doclen": 134.38262813972167,
+  "nbits": 4,
+  "num_chunks": 2,
+  "num_embeddings": 6190067,
+  "num_partitions": 32768
+}

indexes/colbert_coarse/index/fast_plaid_index/plan.json

@@ -0,0 +1,4 @@
+{
+  "nbits": 4,
+  "num_chunks": 2
+}

indexes/colbert_coarse/index/plaid_ids_to_documents_ids.pkl

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:083a26619e8a2e3ee4d90924bbbc297568ab089e521e97fb70cb8f55530cf52a
+size 1607910

indexes/colbert_coarse_metadata.json

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5539a676158395bea51a684b994f85591eb91c85b056da2f2f76c3242804ad96
+size 118132312

indexes/colbert_fine/index/documents_ids_to_plaid_ids.pkl

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa776f1034dcef0bc112a1e10f57cba3b3ad132635f5a2feccdb9a836b9419ee
+size 6377398

indexes/colbert_fine/index/fast_plaid_index/0.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14f9ada8a7975e1a1c97e4ece4e585130769ee661055d90b13d95939c52ed333
+size 17474528

indexes/colbert_fine/index/fast_plaid_index/0.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 0,
+  "num_embeddings": 2184306,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/0.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e11a0c8de930d19b61534f2df0b49b8d63a9be4754f21a0135825291479a3ed
+size 139795664

indexes/colbert_fine/index/fast_plaid_index/1.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44def4560594c169a88cdfe4858f6c5ba6571c2d91d643cd31f506c39ced47de
+size 17638096

indexes/colbert_fine/index/fast_plaid_index/1.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 2184306,
+  "num_embeddings": 2204752,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/1.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f5404f03b787606bbd729e1894ae60d113d175441f3cc66bd7cd013fbc1b2a5
+size 141104208

indexes/colbert_fine/index/fast_plaid_index/2.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b254b384a38987d9d00f82af154e4810da8abbbdacc37f309e4e64ba064a9cb8
+size 18021712

indexes/colbert_fine/index/fast_plaid_index/2.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 4389058,
+  "num_embeddings": 2252704,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/2.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:331fa262bb14cc168e771d784b0f91a6ada0034ec98181e76e15df11ee017d29
+size 144173136

indexes/colbert_fine/index/fast_plaid_index/3.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04ecb8d2ae2575d63549921b5d5abada286a426b9372275b5e4b97fd12b25890
+size 18345392

indexes/colbert_fine/index/fast_plaid_index/3.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 6641762,
+  "num_embeddings": 2293164,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/3.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03b69b60f452f2b7252d07e528b67456dc120a6049907ce8f7c5a8397f8ce2b1
+size 146762576

indexes/colbert_fine/index/fast_plaid_index/4.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37242fe0aea921fc76c9310a6cd21f309ddf37bdd2316c5ad9b23589ea4a010a
+size 18558584

indexes/colbert_fine/index/fast_plaid_index/4.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 8934926,
+  "num_embeddings": 2319813,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/4.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c9ac1cc6360e3fe26b8e8cc4adfa70579535c6684786703d38ac36706cdde72
+size 148468112

indexes/colbert_fine/index/fast_plaid_index/5.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b99510b3f552aa2bf222239cb8bc86aaa3cbc678c8d020f8639578461c40e915
+size 17187544

indexes/colbert_fine/index/fast_plaid_index/5.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 11254739,
+  "num_embeddings": 2148433,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/5.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a546397f126b17ee3f0c31a08ab61ea755a31fe544c2dd94bc7a9d5a3784052
+size 137499792

indexes/colbert_fine/index/fast_plaid_index/6.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5610b2dbab6d2336afe2cc0b652b1f3ef0f8b25a49e569944f689d361b051fcf
+size 20471840

indexes/colbert_fine/index/fast_plaid_index/6.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 13403172,
+  "num_embeddings": 2558970,
+  "num_passages": 25000
+}

indexes/colbert_fine/index/fast_plaid_index/6.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf2237576f76bde8ca60c1ed43d6018aae28c62c1470fbae5c1ee4542039bb02
+size 163774160

indexes/colbert_fine/index/fast_plaid_index/7.codes.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e855a1287a7da526d47a4c1f378cf8306128d145bd74508d32493cef31f58b92
+size 8795464

indexes/colbert_fine/index/fast_plaid_index/7.metadata.json

@@ -0,0 +1,5 @@
+{
+  "embedding_offset": 15962142,
+  "num_embeddings": 1099423,
+  "num_passages": 11460
+}

indexes/colbert_fine/index/fast_plaid_index/7.residuals.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7de614548ed23515e851afe5a6d0ceefe0389eff5f7fb715f7f7f02af524ee15
+size 70363152

indexes/colbert_fine/index/fast_plaid_index/avg_residual.npy

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:354b8ab42aaf0061094ebad5fb4c315485c8326f1065383a34ea9ec16be14c79
+size 592