Upload proofs/87848.json with huggingface_hub

proofs/87848.json

@@ -0,0 +1 @@
+{"schema": 2, "epoch": 87848, "nonce": "e708e52edd83647d", "hotkey": "5E26mnS3bACvPAsi2KkAD2ZC8oQmzcmEoGp9BXWXE9iwVF68", "source_hash": "ee278217a92274fcf76d9fc4cc448854c5890095ddad454234fb90c868537603", "weights_hash": "e6c84a6e616fa15437a38800996e7c7c069f87aa40fa93104a5a202c810cf079", "model_id": "injected", "total_cost_usd": 0.0007000000000000001, "n_calls": 6, "call_log_hash": "ffb89246f1c98268ef1e536eb2d1b816cc97f43158c785dd0db9cab4bb016121", "measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "confined": true, "latency_s": 21.966, "tokens_in": 1270, "tokens_out": 955, "results": [{"benchmark": "mmlu", "task_id": "mmlu-4444", "answer": "D", "cost_usd": 3.16e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "mmlu", "task_id": "mmlu-13441", "answer": "C", "cost_usd": 4.5e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-561", "answer": "Mark: 150 pounds  \nSusan: 150 \u2212 20 = 130 pounds  \nBob: 2 \u00d7 130 = 260 pounds  \nAverage: (150 + 130 + 260) \u00f7 3 = 180  \n\n180", "cost_usd": 7.3e-05, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "math", "task_id": "gsm8k-1017", "answer": "1. Divide 72 pictures equally among 8 albums: \\(72 \\div 8 = 9\\) pictures per album.\n2. Selfies: \\(3 \\times 9 = 27\\).\n3. Portraits: \\(2 \\times 9 = 18\\).\n4. Total portraits and selfies: \\(27 + 18 = 45\\).\n\n45", "cost_usd": 0.00011250000000000002, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc399_b", "answer": "import sys\n\ndef main():\n    input = sys.stdin.readline\n    n = int(input())\n    scores = list(map(int, input().split()))\n\n    ranks = [0] * n\n    rank = 1\n\n    for score in sorted(set(scores), reverse=True):\n        indices = [i for i, value in enumerate(scores) if value == score]\n        for i in indices:\n            ranks[i] = rank\n        rank += len(indices)\n\n    sys.stdout.write(\"\\n\".join(map(str, ranks)))\n\nif __name__ == \"__main__\":\n    main()\n", "cost_usd": 0.00013770000000000004, "chosen_rung": -1, "rungs_used": [], "distribution": []}, {"benchmark": "code", "task_id": "lcb-abc400_c", "answer": "import sys\nimport math\n\nN = int(sys.stdin.readline())\nans = 0\npower = 2\n\nwhile power <= N:\n    limit = math.isqrt(N // power)\n    ans += (limit + 1) // 2\n    power *= 2\n\nprint(ans)\n", "cost_usd": 0.00030020000000000003, "chosen_rung": -1, "rungs_used": [], "distribution": []}], "quote": {"measurement": "1449fadb4821cadef93f7eecc8c3b040e2cd244e01a2607ea531e5f7055c38d8", "report_data": "2e56a69d7ff68306c00b7b673f8e2900dbc9292abf32ac5385dd6fe9135781bc", "platform_sig": "tdx:BAACAIEAAAAAAAAAk5pyM/ecTKmUCg2zlX8GBwAAAAAAAAAAAAAAAAAAAAAAAAAADwEKAAAAAAAAAAAAAAAAAKtiVhoXOsvRjuUP83dQ20QYTGz16IbfdCR8xXXhY7BMNLnhg3R1fCNa/6YU1BJ/awAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAADnAgYAAAAAAMHunBbjr8UGz+BCxbhGo2hSjzs3YY6vsnRpvBFM+RTpIiyRYYRw5/KyisNgloJwpQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKQDb7oumHloC9Ls/V4Hq3au/DzqrNLjXS1jbvuvlDNUUBAmCXEphFsPYn+SO8oOtgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMSdIq/27bN8theN77BeDitRLCaWDm7nOx6jAzZaMd74B6sq1x5YdCNv7KLKVSxjB88NtfGONOLmmamLJW3z/GFAGfWh9bdkk+Kq3HfnW1vj07erP0CdVhnccCVdYMUURAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAN2bwo+uZ+9DxemYZ5pY7KsC4wQt+dWvoAU0pjhpSLGVS/THBGQdSiY6C6iXtRKhhi5Wpp1/9oMGwAt7Zz+OKQDbySkqvzKsU4Xdb+kTV4G8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADPEAAAJEkOLClAn+gYVbRn1qFBli6pGLBtUBaxL4Sle7n1YZTs/sDvfCZF7PDkj0JLpX2bTktlMA7uZp+Bx/a/xyAL2jr0QKCXlXk7+SRxJkGH5rrzAa32Z/V/k6EPShWfdVRq7vqct/tVYGG8amwemIiyJhzRZ56wY8AcjkaLbNq4Kj4GAEkQAAAKCv8bBv8ABgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAVAAAAAAAAAOcAAAAAAAAA5aOntdgwwpU7mFNMbFmjo0/cNOkz9/WJjwqFzwiEa8oAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANyeKnxvlI8XR040p/xD7QMPfBVj8bq932NAyC4OVKjFAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAK9XEytp5o0FZ+QXXc6hpF7QX59lYhziHgczrtzNXP4OAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACHs/7yTg9TGltI1kSWZ/GGoLxwp8ddzpzGBkbQpVbFVnar7tEEj7BKMtnyJd3BJprzNOSNlGpnqez7MBZOTXISIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUAYQ4AAC0tLS0tQkVHSU4gQ0VSVElGSUNBVEUtLS0tLQpNSUlFOGpDQ0JKZWdBd0lCQWdJVkFMUnNXK1VFV0E2aXc1bVpzbnhLK1VWQUlnZVpNQW9HQ0NxR1NNNDlCQU1DCk1IQXhJakFnQmdOVkJBTU1HVWx1ZEdWc0lGTkhXQ0JRUTBzZ1VHeGhkR1p2Y20wZ1EwRXhHakFZQmdOVkJBb00KRVVsdWRHVnNJRU52Y25CdmNtRjBhVzl1TVJRd0VnWURWUVFIREF0VFlXNTBZU0JEYkdGeVlURUxNQWtHQTFVRQpDQXdDUTBFeEN6QUpCZ05WQkFZVEFsVlRNQjRYRFRJMk1EZ3dOREEwTlRFME1Gb1hEVE16TURnd05EQTBOVEUwCk1Gb3djREVpTUNBR0ExVUVBd3daU1c1MFpXd2dVMGRZSUZCRFN5QkRaWEowYVdacFkyRjBaVEVhTUJnR0ExVUUKQ2d3UlNXNTBaV3dnUTI5eWNHOXlZWFJwYjI0eEZEQVNCZ05WQkFjTUMxTmhiblJoSUVOc1lYSmhNUXN3Q1FZRApWUVFJREFKRFFURUxNQWtHQTFVRUJoTUNWVk13V1RBVEJnY3Foa2pPUFFJQkJnZ3Foa2pPUFFNQkJ3TkNBQVIxCmh4YmY4cnMvZElyazB5QUkySXBqV3VXN0g3L1hSUkJmK3duWi9NSGxMeVh6MDNqUnlmdDhZbUkrbHlEUDlFTVUKSTF4bVcvZldrVm9jTUtYbkFhd2tvNElERERDQ0F3Z3dId1lEVlIwakJCZ3dGb0FVbFc5ZHpiMGI0ZWxBU2NuVQo5RFBPQVZjTDNsUXdhd1lEVlIwZkJHUXdZakJnb0Y2Z1hJWmFhSFIwY0hNNkx5OWhjR2t1ZEhKMWMzUmxaSE5sCmNuWnBZMlZ6TG1sdWRHVnNMbU52YlM5elozZ3ZZMlZ5ZEdsbWFXTmhkR2x2Ymk5Mk5DOXdZMnRqY213L1kyRTkKY0d4aGRHWnZjbTBtWlc1amIyUnBibWM5WkdWeU1CMEdBMVVkRGdRV0JCUUd0U0lJcGM2aHVNNENzbHZva2l4YwpvMjI4dVRBT0JnTlZIUThCQWY4RUJBTUNCc0F3REFZRFZSMFRBUUgvQkFJd0FEQ0NBamtHQ1NxR1NJYjRUUUVOCkFRU0NBaW93Z2dJbU1CNEdDaXFHU0liNFRRRU5BUUVFRUx1TUFuY0JEcDBXMnlvSUc0bDNMV293Z2dGakJnb3EKaGtpRytFMEJEUUVDTUlJQlV6QVFCZ3NxaGtpRytFMEJEUUVDQVFJQkNUQVFCZ3NxaGtpRytFMEJEUUVDQWdJQgpDVEFRQmdzcWhraUcrRTBCRFFFQ0F3SUJBakFRQmdzcWhraUcrRTBCRFFFQ0JBSUJBakFRQmdzcWhraUcrRTBCCkRRRUNCUUlCQkRBUUJnc3Foa2lHK0UwQkRRRUNCZ0lCQVRBUUJnc3Foa2lHK0UwQkRRRUNCd0lCQURBUUJnc3EKaGtpRytFMEJEUUVDQ0FJQkJqQVFCZ3NxaGtpRytFMEJEUUVDQ1FJQkFEQVFCZ3NxaGtpRytFMEJEUUVDQ2dJQgpBREFRQmdzcWhraUcrRTBCRFFFQ0N3SUJBREFRQmdzcWhraUcrRTBCRFFFQ0RBSUJBREFRQmdzcWhraUcrRTBCCkRRRUNEUUlCQURBUUJnc3Foa2lHK0UwQkRRRUNEZ0lCQURBUUJnc3Foa2lHK0UwQkRRRUNEd0lCQURBUUJnc3EKaGtpRytFMEJEUUVDRUFJQkFEQVFCZ3NxaGtpRytFMEJEUUVDRVFJQkN6QWZCZ3NxaGtpRytFMEJEUUVDRWdRUQpDUWtDQWdRQkFBWUFBQUFBQUFBQUFEQVFCZ29xaGtpRytFMEJEUUVEQkFJQUFEQVVCZ29xaGtpRytFMEJEUUVFCkJBWUFnRzhGQUFBd0R3WUtLb1pJaHZoTkFRMEJCUW9CQVRBZUJnb3Foa2lHK0UwQkRRRUdCQkFHTWpianVFaTQKRDNxbUUwZlVKR3Z5TUVRR0NpcUdTSWI0VFFFTkFRY3dOakFRQmdzcWhraUcrRTBCRFFFSEFRRUIvekFRQmdzcQpoa2lHK0UwQkRRRUhBZ0VCQURBUUJnc3Foa2lHK0UwQkRRRUhBd0VCL3pBS0JnZ3Foa2pPUFFRREFnTkpBREJHCkFpRUFyZWo2c0k0eGpEUDQveVRrUHR4d1htazBEK29QKzA0OVJVMDFzTE91bVpNQ0lRRHU4N3hxK01PWkRvS1EKVzUrcVVQcUloUEpPTFlBRU5UMHEwaDJJRDJpV3dBPT0KLS0tLS1FTkQgQ0VSVElGSUNBVEUtLS0tLQotLS0tLUJFR0lOIENFUlRJRklDQVRFLS0tLS0KTUlJQ2xqQ0NBajJnQXdJQkFnSVZBSlZ2WGMyOUcrSHBRRW5KMVBRenpnRlhDOTVVTUFvR0NDcUdTTTQ5QkFNQwpNR2d4R2pBWUJnTlZCQU1NRVVsdWRHVnNJRk5IV0NCU2IyOTBJRU5CTVJvd0dBWURWUVFLREJGSmJuUmxiQ0JECmIzSndiM0poZEdsdmJqRVVNQklHQTFVRUJ3d0xVMkZ1ZEdFZ1EyeGhjbUV4Q3pBSkJnTlZCQWdNQWtOQk1Rc3cKQ1FZRFZRUUdFd0pWVXpBZUZ3MHhPREExTWpFeE1EVXdNVEJhRncwek16QTFNakV4TURVd01UQmFNSEF4SWpBZwpCZ05WQkFNTUdVbHVkR1ZzSUZOSFdDQlFRMHNnVUd4aGRHWnZjbTBnUTBFeEdqQVlCZ05WQkFvTUVVbHVkR1ZzCklFTnZjbkJ2Y21GMGFXOXVNUlF3RWdZRFZRUUhEQXRUWVc1MFlTQkRiR0Z5WVRFTE1Ba0dBMVVFQ0F3Q1EwRXgKQ3pBSkJnTlZCQVlUQWxWVE1Ga3dFd1lIS29aSXpqMENBUVlJS29aSXpqMERBUWNEUWdBRU5TQi83dDIxbFhTTwoyQ3V6cHh3NzRlSkI3MkV5REdnVzVyWEN0eDJ0VlRMcTZoS2s2eitVaVJaQ25xUjdwc092Z3FGZVN4bG1UbEpsCmVUbWkyV1l6M3FPQnV6Q0J1REFmQmdOVkhTTUVHREFXZ0JRaVpReldXcDAwaWZPRHRKVlN2MUFiT1NjR3JEQlMKQmdOVkhSOEVTekJKTUVlZ1JhQkRoa0ZvZEhSd2N6b3ZMMk5sY25ScFptbGpZWFJsY3k1MGNuVnpkR1ZrYzJWeQpkbWxqWlhNdWFXNTBaV3d1WTI5dEwwbHVkR1ZzVTBkWVVtOXZkRU5CTG1SbGNqQWRCZ05WSFE0RUZnUVVsVzlkCnpiMGI0ZWxBU2NuVTlEUE9BVmNMM2xRd0RnWURWUjBQQVFIL0JBUURBZ0VHTUJJR0ExVWRFd0VCL3dRSU1BWUIKQWY4Q0FRQXdDZ1lJS29aSXpqMEVBd0lEUndBd1JBSWdYc1ZraTB3K2k2VllHVzNVRi8yMnVhWGUwWUpEajFVZQpuQStUakQxYWk1Y0NJQ1liMVNBbUQ1eGtmVFZwdm80VW95aVNZeHJEV0xtVVI0Q0k5Tkt5ZlBOKwotLS0tLUVORCBDRVJUSUZJQ0FURS0tLS0tCi0tLS0tQkVHSU4gQ0VSVElGSUNBVEUtLS0tLQpNSUlDanpDQ0FqU2dBd0lCQWdJVUltVU0xbHFkTkluemc3U1ZVcjlRR3prbkJxd3dDZ1lJS29aSXpqMEVBd0l3CmFERWFNQmdHQTFVRUF3d1JTVzUwWld3Z1UwZFlJRkp2YjNRZ1EwRXhHakFZQmdOVkJBb01FVWx1ZEdWc0lFTnYKY25CdmNtRjBhVzl1TVJRd0VnWURWUVFIREF0VFlXNTBZU0JEYkdGeVlURUxNQWtHQTFVRUNBd0NRMEV4Q3pBSgpCZ05WQkFZVEFsVlRNQjRYRFRFNE1EVXlNVEV3TkRVeE1Gb1hEVFE1TVRJek1USXpOVGsxT1Zvd2FERWFNQmdHCkExVUVBd3dSU1c1MFpXd2dVMGRZSUZKdmIzUWdRMEV4R2pBWUJnTlZCQW9NRVVsdWRHVnNJRU52Y25CdmNtRjAKYVc5dU1SUXdFZ1lEVlFRSERBdFRZVzUwWVNCRGJHRnlZVEVMTUFrR0ExVUVDQXdDUTBFeEN6QUpCZ05WQkFZVApBbFZUTUZrd0V3WUhLb1pJemowQ0FRWUlLb1pJemowREFRY0RRZ0FFQzZuRXdNRElZWk9qL2lQV3NDemFFS2k3CjFPaU9TTFJGaFdHamJuQlZKZlZua1k0dTNJamtEWVlMME14TzRtcXN5WWpsQmFsVFZZeEZQMnNKQks1emxLT0IKdXpDQnVEQWZCZ05WSFNNRUdEQVdnQlFpWlF6V1dwMDBpZk9EdEpWU3YxQWJPU2NHckRCU0JnTlZIUjhFU3pCSgpNRWVnUmFCRGhrRm9kSFJ3Y3pvdkwyTmxjblJwWm1sallYUmxjeTUwY25WemRHVmtjMlZ5ZG1salpYTXVhVzUwClpXd3VZMjl0TDBsdWRHVnNVMGRZVW05dmRFTkJMbVJsY2pBZEJnTlZIUTRFRmdRVUltVU0xbHFkTkluemc3U1YKVXI5UUd6a25CcXd3RGdZRFZSMFBBUUgvQkFRREFnRUdNQklHQTFVZEV3RUIvd1FJTUFZQkFmOENBUUV3Q2dZSQpLb1pJemowRUF3SURTUUF3UmdJaEFPVy81UWtSK1M5Q2lTRGNOb293THVQUkxzV0dmL1lpN0dTWDk0Qmd3VHdnCkFpRUE0SjBsckhvTXMrWG81by9zWDZPOVFXeEhSQXZaVUdPZFJRN2N2cVJYYXFJPQotLS0tLUVORCBDRVJUSUZJQ0FURS0tLS0tCgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA="}}