{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Game","Algorithm"],"not_rendered":{"charts":0,"images":0,"macros":1,"external_links":0,"defined_names":31,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Game","index":0,"n_rows":10,"n_cols":29,"rows_kept":10,"cut":false,"hidden":false,"merged":[]}
[null,"Original grid",null,null,null,null,null,null,null,null,null,"Digit","# filled in","Row sum","Col sum","Box sum",null,null,"Copy of current grid (for backtracking)",null,null,null,null,null,null,null,null,null,"Copy of original grid (for starting over)"]
[null,6,1,null,null,4,null,null,9,null,null,1,{"$f":"COUNTIF(Grid,L2)","v":3},{"$f":"SUM(_Row1)","v":20},{"$f":"SUM(_Col1)","v":20},{"$f":"SUM(_Box1)","v":18}]
[null,null,4,null,null,8,null,null,5,6,null,2,2,{"$f":"SUM(_Row2)","v":23},{"$f":"SUM(_Col2)","v":23},{"$f":"SUM(_Box2)","v":15}]
[null,null,7,null,null,null,3,null,null,null,null,3,3,{"$f":"SUM(_Row3)","v":10},{"$f":"SUM(_Col3)","v":2},{"$f":"SUM(_Box3)","v":20}]
[null,null,null,2,4,null,6,null,null,null,null,4,3,{"$f":"SUM(_Row4)","v":12},{"$f":"SUM(_Col4)","v":18},{"$f":"SUM(_Box4)","v":7}]
[null,5,null,null,null,null,null,null,null,9,null,5,4,{"$f":"SUM(_Row5)","v":14},{"$f":"SUM(_Col5)","v":16},{"$f":"SUM(_Box5)","v":19}]
[null,null,null,null,8,null,1,5,null,null,null,6,5,{"$f":"SUM(_Row6)","v":14},{"$f":"SUM(_Col6)","v":10},{"$f":"SUM(_Box6)","v":14}]
[null,null,null,null,6,null,null,null,8,null,null,7,2,{"$f":"SUM(_Row7)","v":14},{"$f":"SUM(_Col7)","v":5},{"$f":"SUM(_Box7)","v":20}]
[null,9,5,null,null,1,null,null,3,null,null,8,3,{"$f":"SUM(_Row8)","v":18},{"$f":"SUM(_Col8)","v":32},{"$f":"SUM(_Box8)","v":10}]
[null,null,6,null,null,3,null,null,7,2,null,9,3,{"$f":"SUM(_Row9)","v":18},{"$f":"SUM(_Col9)","v":17},{"$f":"SUM(_Box9)","v":20}]

{"sheet":"Algorithm","index":1,"n_rows":56,"n_cols":90,"rows_kept":56,"cut":false,"hidden":false,"merged":[]}
[null,"Searching for where a 1 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 2 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 3 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 4 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 5 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 6 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 7 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 8 could go",null,null,null,null,null,null,null,null,null,"Searching for where a 9 could go"]
[]
[null,"Original",null,null,null,null,null,null,null,null,null,"After search for a 1",null,null,null,null,null,null,null,null,null,"After search for a 2",null,null,null,null,null,null,null,null,null,"After search for a 3",null,null,null,null,null,null,null,null,null,"After search for a 4",null,null,null,null,null,null,null,null,null,"After search for a 5",null,null,null,null,null,null,null,null,null,"After search for a 6",null,null,null,null,null,null,null,null,null,"After search for a 7",null,null,null,null,null,null,null,null,null,"After search for a 8"]
[null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,null,4,null,null,9]
[null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6]
[null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,6,3,null,null,null,null,null,7,null,null,6,3,null,null,null,null,null,7,null,null,6,3]
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[null,5,null,null,null,null,null,null,null,9,null,5,null,null,null,null,null,null,null,9,null,5,null,null,null,null,null,null,null,9,null,5,null,null,3,null,null,null,null,9,null,5,null,null,3,null,null,null,null,9,null,5,null,null,3,null,null,null,null,9,null,5,null,null,3,null,null,null,null,9,null,5,null,null,3,null,null,null,null,9,null,5,null,null,3,null,null,null,null,9]
[null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,null,1,5]
[null,null,null,null,6,null,null,null,8,null,null,null,null,null,6,null,null,null,8,null,null,null,2,null,6,null,null,null,8,null,null,null,2,null,6,null,null,null,8,null,null,null,2,null,6,null,null,null,8,null,null,null,2,null,6,null,null,null,8,5,null,null,2,null,6,null,null,null,8,5,null,null,2,null,6,null,null,null,8,5,null,null,2,null,6,null,null,null,8,5]
[null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,6,3,null,null,9,5,null,null,1,null,6,3,null,null,9,5,null,null,1,null,6,3]
[null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2]
[]
[null,"First loop, searching where a 1 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 2 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 3 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 4 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 5 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 6 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 7 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 8 could go (the 99's), anywhere but in the orange",null,null,null,null,null,null,null,null,null,"First loop, searching where a 9 could go (the 99's), anywhere but in the orange"]
[null,6,1,null,null,4,null,null,9,null,null,6,1,null,99,4,99,99,9,null,null,6,1,99,null,4,null,99,9,99,null,6,1,null,null,4,null,null,9,null,null,6,1,99,99,4,99,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,99,4,99,99,9,99,null,6,1,99,null,4,null,99,9,99,null,6,1,null,null,4,null,null,9]
[null,null,4,null,99,8,null,99,5,6,null,99,4,null,99,8,99,99,5,6,null,99,4,99,null,8,null,99,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,null,99,8,99,99,5,6,null,null,4,null,null,8,null,null,5,6,null,null,4,99,99,8,99,null,5,6]
[null,null,7,null,99,null,3,99,99,99,null,99,7,null,99,99,3,99,99,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,99,99,99,null,null,7,99,99,99,3,null,null,null,null,null,7,null,null,99,3,null,null,null,null,null,7,null,null,6,3,null,null,null,null,99,7,99,null,6,3,99,null,99,null,null,7,99,99,6,3]
[null,99,null,2,4,null,6,99,99,99,null,null,null,2,4,null,6,null,null,null,null,99,99,2,4,null,6,99,null,99,null,null,null,2,4,null,6,null,null,null,null,null,null,2,4,99,6,null,null,null,null,null,null,2,4,5,6,null,null,null,null,99,null,2,4,5,6,99,null,99,null,99,99,2,4,5,6,99,null,99,null,null,99,2,4,5,6]
[null,5,null,99,null,null,null,99,99,9,null,5,null,null,99,99,99,99,99,9,null,5,99,99,99,null,null,99,null,9,null,5,null,99,3,null,null,99,99,9,null,5,null,null,3,null,null,null,null,9,null,5,null,99,3,null,null,99,99,9,null,5,null,99,3,99,99,99,null,9,null,5,99,99,3,null,null,99,null,9,null,5,null,null,3,null,null,null,null,9]
[null,null,null,null,8,null,1,5,null,null,null,null,null,null,8,99,1,5,99,null,null,99,99,99,8,null,1,5,null,99,null,99,null,99,8,null,1,5,99,99,null,null,null,null,8,null,1,5,null,null,null,null,null,99,8,null,1,5,99,null,null,99,null,99,8,99,1,5,null,99,null,null,null,null,8,null,1,5,null,null,null,null,99,99,8,99,1,5]
[null,99,null,99,6,null,null,99,8,99,null,99,99,null,6,99,99,null,8,null,null,99,2,99,6,null,null,null,8,null,null,99,2,99,6,null,99,99,8,99,null,null,2,null,6,99,99,null,8,99,null,null,2,null,6,null,null,null,8,5,null,99,2,99,6,99,99,null,8,5,null,null,2,null,6,null,null,null,8,5,null,null,2,null,6,99,99,99,8,5]
[null,9,5,null,null,1,null,null,3,null,null,9,5,null,99,1,99,null,3,null,null,9,5,null,null,1,null,null,3,null,null,9,5,99,null,1,99,99,3,99,null,9,5,null,null,1,null,null,3,null,null,9,5,null,null,1,null,99,3,null,null,9,5,99,99,1,99,6,3,null,null,9,5,99,null,1,99,6,3,null,null,9,5,null,null,1,null,6,3]
[null,99,6,99,null,3,null,99,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,99,6,99,null,3,99,99,7,2,null,null,6,null,99,3,99,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,99,6,99,null,3,99,null,7,2,null,null,6,null,99,3,99,99,7,2]
[]
[null,"Second loop, where a 1 couldn't go because it must go in that row in another box - no such cases",null,null,null,null,null,null,null,null,null,"Second loop, where a 2 couldn't go (orange) because it must go in that row in another box (green)",null,null,null,null,null,null,null,null,null,"Second loop, where a 3 couldn't go (orange) because it must go in that row in another box (green)",null,null,null,null,null,null,null,null,null,"Second loop, where a 4 couldn't go because it must go in that row in another box - no such cases",null,null,null,null,null,null,null,null,null,"Second loop, where a 5 couldn't go (orange) because it must go in that row in another box (green)",null,null,null,null,null,null,null,null,null,"Second loop, where a 6 couldn't go because it must go in that row in another box - no such cases",null,null,null,null,null,null,null,null,null,"Second loop, where a 7 couldn't go because it must go in that row in another box - no such cases",null,null,null,null,null,null,null,null,null,"Second loop, where a 8 couldn't go because it must go in that row in another box - no such cases",null,null,null,null,null,null,null,null,null,"Second loop, where a 9 couldn't go (orange) because it must go in that row in another box (green)"]
[null,6,1,null,null,4,null,null,9,null,null,6,1,null,99,4,99,99,9,null,null,6,1,99,null,4,null,99,9,99,null,6,1,null,null,4,null,null,9,null,null,6,1,99,99,4,99,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,99,4,99,99,9,99,null,6,1,99,null,4,null,99,9,99,null,6,1,null,null,4,null,null,9]
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[null,null,7,null,99,null,3,99,99,99,null,99,7,null,99,99,3,99,99,null,null,null,7,null,null,null,3,null,null,null,null,null,7,null,null,null,3,99,99,99,null,null,7,99,99,99,3,null,null,null,null,null,7,null,null,99,3,null,null,null,null,null,7,null,null,6,3,null,null,null,null,99,7,99,null,6,3,99,null,99,null,null,7,99,99,6,3]
[null,99,null,2,4,null,6,99,99,99,null,null,null,2,4,null,6,null,null,null,null,99,99,2,4,null,6,99,null,99,null,null,null,2,4,null,6,null,null,null,null,null,null,2,4,99,6,null,null,null,null,null,null,2,4,5,6,null,null,null,null,99,null,2,4,5,6,99,null,99,null,99,99,2,4,5,6,99,null,99,null,null,99,2,4,5,6]
[null,5,null,99,null,null,null,99,99,9,null,5,null,null,99,99,99,99,99,9,null,5,null,null,99,null,null,null,null,9,null,5,null,99,3,null,null,99,99,9,null,5,null,null,3,null,null,null,null,9,null,5,null,99,3,null,null,99,99,9,null,5,null,99,3,99,99,99,null,9,null,5,99,99,3,null,null,99,null,9,null,5,null,null,3,null,null,null,null,9]
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[null,99,6,99,null,3,null,99,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,99,6,99,null,3,99,99,7,2,null,null,6,null,99,3,99,null,7,2,null,null,6,null,null,3,null,null,7,2,null,null,6,null,null,3,null,null,7,2,null,99,6,99,null,3,99,null,7,2,null,null,6,null,99,3,99,99,7,2]
[]
[null,"Third loop, where a 1 couldn't go because it must go in that column in another box - no such cases",null,null,null,null,null,null,null,null,null,"Third loop, where a 2 couldn't go (orange) because it must go in that column in another box (green)",null,null,null,null,null,null,null,null,null,"Third loop, where a 3 couldn't go because it must go in that column in another box - no such cases",null,null,null,null,null,null,null,null,null,"Third loop, where a 4 couldn't go because it must go in that column in another box - no such cases",null,null,null,null,null,null,null,null,null,"Third loop, where a 5 couldn't go (ornage) because it must go in that column in another box (green)",null,null,null,null,null,null,null,null,null,"Third loop, where a 6 couldn't go (ornage) because it must go in that column in another box (green)",null,null,null,null,null,null,null,null,null,"Third loop, where a 7 couldn't go because it must go in that column in another box - no such cases",null,null,null,null,null,null,null,null,null,"Third loop, where a 8 couldn't go because it must go in that column in another box - no such cases",null,null,null,null,null,null,null,null,null,"Third loop, where a 9 couldn't go (orange) because it must go in that column in another box (green)"]
[null,6,1,null,null,4,null,null,9,null,null,6,1,null,99,4,99,99,9,null,null,6,1,99,null,4,null,99,9,99,null,6,1,null,null,4,null,null,9,null,null,6,1,99,99,4,99,null,9,null,null,6,1,null,null,4,null,null,9,null,null,6,1,null,99,4,99,99,9,99,null,6,1,99,null,4,null,99,9,99,null,6,1,null,null,4,null,null,9]
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[]
[null,"Making change(s), where a 1 must go because only one 99 in box - no such cases",null,null,null,null,null,null,null,null,null,"Making change(s), where a 2 must go (green) because only one 99 in box",null,null,null,null,null,null,null,null,null,"Making change(s), where a 3 must go (green) because only one 99 in box",null,null,null,null,null,null,null,null,null,"Making change(s), where a 4 must go because only one 99 in box - no such cases",null,null,null,null,null,null,null,null,null,"Making change(s), where a 5 must go (green) because only one 99 in box",null,null,null,null,null,null,null,null,null,"Making change(s), where a 6 must go (green) because only one 99 in box",null,null,null,null,null,null,null,null,null,"Making change(s), where a 7 must go because only one 99 in box - no such changes",null,null,null,null,null,null,null,null,null,"Making change(s), where a 8 must go because only one 99 in box - no such changes",null,null,null,null,null,null,null,null,null,"Making change(s), where a 9 must go (green) because only one 99 in box"]
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