回答編集履歴
2
挿入ソート版追記
test
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"""
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```
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挿入ソート版
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-----
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題意から以下の処理でもよさそうです。
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再帰版よりもはるかに速く処理できます。
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```Python
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import numpy as np
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import pprint
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import pandas as pd
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from io import StringIO
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f = StringIO("""c1,c2,c3,c4,c5
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,,7,8,
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1,2,,,
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,,6,6,
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4,7,,,
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,,,2,1
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,,,7,4
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6,9,,,
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,1,2,,
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,,,9,5
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,4,4,,
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,,1,1,
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2,3,,,
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5,8,,,
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,,,3,2
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,,3,4,
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,5,5,,
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,,,5,3
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3,6,,,""")
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ary = pd.read_csv(f).values.tolist()
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ret = []
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# 各列について左から順に処理
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col_cnt = len(ary[0])
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for c in range(col_cnt):
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# 対象列がnanでない行のみ抜き出す
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rows = []
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for r in ary[::-1]:
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if not np.isnan(r[c]):
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rows.append(r)
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ary.remove(r)
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# 結果配列に列値が昇順になるように挿入していく
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for row in rows:
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is_ins = False
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for idx,ret_row in enumerate(ret):
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if row[c] < ret_row[c]:
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ret.insert(idx,row)
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is_ins = True
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break
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if not is_ins:
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ret.append(row)
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pprint.pprint(ret)
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"""
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[[nan, nan, 1.0, 1.0, nan],
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[nan, 1.0, 2.0, nan, nan],
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[1.0, 2.0, nan, nan, nan],
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[2.0, 3.0, nan, nan, nan],
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[nan, nan, nan, 2.0, 1.0],
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[nan, nan, nan, 3.0, 2.0],
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[nan, nan, 3.0, 4.0, nan],
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[nan, 4.0, 4.0, nan, nan],
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[nan, 5.0, 5.0, nan, nan],
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[3.0, 6.0, nan, nan, nan],
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[4.0, 7.0, nan, nan, nan],
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[5.0, 8.0, nan, nan, nan],
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[6.0, 9.0, nan, nan, nan],
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[nan, nan, nan, 5.0, 3.0],
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[nan, nan, 6.0, 6.0, nan],
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[nan, nan, nan, 7.0, 4.0],
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[nan, nan, 7.0, 8.0, nan],
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[nan, nan, nan, 9.0, 5.0]]
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"""
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```
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1
再帰版を追記
test
CHANGED
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@@ -117,3 +117,177 @@
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"""
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```
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再帰版
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-----
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総当たりよりは速いですが、15行程度が限界ですね。
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```Python
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import numpy as np
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def search( ary):
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row_cnt = ary.shape[0]
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col_cnt = ary.shape[1]
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# 条件を満たすか
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# row : 行の位置
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# mins : 現時点の各列の最小値
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def is_match(row,mins):
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for col in range(col_cnt):
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v = ary[row,col]
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if np.isnan(v):
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continue
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if v < mins[col]:
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return False
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mins[col] = v # 最小値を更新
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return True
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# rows : 行位置の配列
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# mins : 現時点の各列の最小値
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def search_row(rows,mins):
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if len(rows) == row_cnt:
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return rows
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rows_set = set(rows)
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for row in range(row_cnt):
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if row in rows_set: # 重複は除く
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continue
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next_mins = mins.copy()
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if is_match(row,next_mins):
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ret = search_row(rows+[row],next_mins)
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if ret:
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return ret
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rows = search_row([],np.zeros(col_cnt))
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return ary[rows,:]
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import pandas as pd
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from io import StringIO
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f = StringIO("""c1,c2,c3,c4,c5
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,,7,8,
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1,2,,,
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,,6,6,
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4,7,,,
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,,,2,1
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,,,7,4
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,1,2,,
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,4,4,,
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,,1,1,
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2,3,,,
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,,,3,2
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,,3,4,
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,5,5,,
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,,,5,3
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3,6,,,""")
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ary = pd.read_csv(f).values
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ret = search(ary)
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print(ret)
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"""
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[[nan nan 1. 1. nan]
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[nan nan nan 2. 1.]
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[nan 1. 2. nan nan]
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[ 1. 2. nan nan nan]
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[ 2. 3. nan nan nan]
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[nan nan nan 3. 2.]
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[nan nan 3. 4. nan]
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[nan 4. 4. nan nan]
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[nan 5. 5. nan nan]
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[nan nan nan 5. 3.]
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[nan nan 6. 6. nan]
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[nan nan nan 7. 4.]
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[nan nan 7. 8. nan]
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[ 3. 6. nan nan nan]
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[ 4. 7. nan nan nan]]
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"""
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```
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