cf-2066-c

[
  {
    "total": 1,
    "answer": "```python\nimport sys\nfrom collections import Counter\n\nMOD = 10**9 + 7\n\ndef solve():\n    input = sys.stdin.readline\n    n = int(input())\n    a = list(map(int, input().split()))\n    a = [0] + a\n    dp = [[[0 for _ in range(2)] for _ in range(2)] for _ in range(n + 1)]\n    dp[0][0][0] = 1\n    for i in range(1, n + 1):\n        for j in range(2):\n            for k in range(2):\n                for l in range(2):\n                    if dp[i - 1][j][k] == 0:\n                        continue\n                    dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j][k]) % MOD\n                    if j == k == 0:\n                        continue\n                    dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ (a[i] >> 31)][k]) % MOD\n                    if j == k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j == k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j == k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j == k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ ",
    "passed": 0,
    "test_error": "no code extracted from response"
  },
  {
    "total": 1,
    "answer": "```python\nimport sys\nfrom collections import Counter\n\nMOD = 10**9 + 7\n\ndef solve():\n    input = sys.stdin.readline\n    n = int(input())\n    a = list(map(int, input().split()))\n    a = [0] + a\n    dp = [[[0 for _ in range(2)] for _ in range(2)] for _ in range(n + 1)]\n    dp[0][0][0] = 1\n    for i in range(1, n + 1):\n        for j in range(2):\n            for k in range(2):\n                for l in range(2):\n                    if dp[i - 1][j][k] == 0:\n                        continue\n                    dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j][k]) % MOD\n                    if j == k == 0:\n                        continue\n                    dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ (a[i] >> 31)][k]) % MOD\n                    if j == k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j == k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                    if j != k and (a[i] & 1) == 0:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                    if j != k and (a[i] & 1) == 1:\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                   ",
    "passed": 0,
    "test_error": "no code extracted from response"
  },
  {
    "total": 1,
    "answer": "```python\nimport sys\nfrom collections import Counter\n\nMOD = 10**9 + 7\n\ndef solve():\n    input = sys.stdin.readline\n    t = int(input())\n    results = []\n    for _ in range(t):\n        n = int(input())\n        a = list(map(int, input().split()))\n        a = [0] + a\n        dp = [[[0 for _ in range(2)] for _ in range(2)] for _ in range(n + 1)]\n        dp[0][0][0] = 1\n        for i in range(1, n + 1):\n            for j in range(2):\n                for k in range(2):\n                    for l in range(2):\n                        if dp[i - 1][j][k] == 0:\n                            continue\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j][k]) % MOD\n                        if j == k == 0:\n                            continue\n                        dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ (a[i] >> 31)][k]) % MOD\n                        if j == k and (a[i] & 1) == 0:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                        if j == k and (a[i] & 1) == 1:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                        if j != k and (a[i] & 1) == 0:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                        if j != k and (a[i] & 1) == 1:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                        if j != k and (a[i] & 1) == 1:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                        if j != k and (a[i] & 1) == 0:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                        if j != k and (a[i] & 1) == 0:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                        if j != k and (a[i] & 1) == 1:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                        if j != k and (a[i] & 1) == 0:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                        if j != k and (a[i] & 1) == 1:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k ^ 1]) % MOD\n                        if j != k and (a[i] & 1) == 0:\n                            dp[i][j][k] = (dp[i][j][k] + dp[i - 1][j ^ 1][k]) % MOD\n                        if j != k and (a[i] & 1) == 1:\n                           ",
    "passed": 0,
    "test_error": ""
  }
]

You are an expert programmer. Solve the task exactly as specified. Output your solution as fenced code blocks using the required file name(s) and the exact function/type signatures requested. Prefer correctness; do not include prose outside code unless asked.