========================================================================
public-001-t1-000
========================================================================

WELLS INSTANCE public-001-t1-000 — 6 columns x 6 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

2..3.3
.0....
...2..
....1.
.2..0.
3.3..2

ANSWER FORMAT
Give the completed grid as 6 lines of 6 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t1-001
========================================================================

WELLS INSTANCE public-001-t1-001 — 6 columns x 6 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.2.1..
1..1..
.1.2.3
.1....
22...2
..1.1.

ANSWER FORMAT
Give the completed grid as 6 lines of 6 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t1-002
========================================================================

WELLS INSTANCE public-001-t1-002 — 6 columns x 6 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.2...3
...1..
...1..
4...1.
..1...
.3...3

ANSWER FORMAT
Give the completed grid as 6 lines of 6 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t1-003
========================================================================

WELLS INSTANCE public-001-t1-003 — 6 columns x 6 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.1.3..
..2...
....11
......
.3...2
3..2..

ANSWER FORMAT
Give the completed grid as 6 lines of 6 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t1-004
========================================================================

WELLS INSTANCE public-001-t1-004 — 6 columns x 6 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

...3..
.3...0
....11
..2...
1.2..1
1...2.

ANSWER FORMAT
Give the completed grid as 6 lines of 6 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t1-005
========================================================================

WELLS INSTANCE public-001-t1-005 — 6 columns x 6 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.4...2
....0.
...110
1...11
..2.1.
.2..11

ANSWER FORMAT
Give the completed grid as 6 lines of 6 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t2-000
========================================================================

WELLS INSTANCE public-001-t2-000 — 8 columns x 8 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

4...1.2.
.....0.2
.23...21
.....2..
....2.2.
......12
.2.3..21
2...3...

ANSWER FORMAT
Give the completed grid as 8 lines of 8 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t2-001
========================================================================

WELLS INSTANCE public-001-t2-001 — 8 columns x 8 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.43.....
....2..3
...2.1..
2.2.0...
...001..
21..1...
...1..34
..3.....

ANSWER FORMAT
Give the completed grid as 8 lines of 8 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t2-002
========================================================================

WELLS INSTANCE public-001-t2-002 — 8 columns x 8 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.4..12..
........
.......3
.4....2.
....2...
3.......
4....2..
...1...3

ANSWER FORMAT
Give the completed grid as 8 lines of 8 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t2-003
========================================================================

WELLS INSTANCE public-001-t2-003 — 8 columns x 8 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

4..3..2.
.......2
........
.21..22.
....3..2
32......
...3.1..
.....2.2

ANSWER FORMAT
Give the completed grid as 8 lines of 8 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t2-004
========================================================================

WELLS INSTANCE public-001-t2-004 — 8 columns x 8 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

32..3..1
...32...
........
....23..
...2....
4......4
.2......
4...2...

ANSWER FORMAT
Give the completed grid as 8 lines of 8 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t2-005
========================================================================

WELLS INSTANCE public-001-t2-005 — 8 columns x 8 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

2..1..12
.2....2.
....3.1.
.3.....0
.....3..
...1....
..0..3..
22.2...2

ANSWER FORMAT
Give the completed grid as 8 lines of 8 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t3-000
========================================================================

WELLS INSTANCE public-001-t3-000 — 10 columns x 10 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

5......4..
.3........
.......4..
.........6
.34.......
3...1.....
...3......
......3...
..2..1....
3..0...4..

ANSWER FORMAT
Give the completed grid as 10 lines of 10 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t3-001
========================================================================

WELLS INSTANCE public-001-t3-001 — 10 columns x 10 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.2...11.11
...2.21.1.
....2.2.11
2.3..2....
.........2
.3.....3..
....2....3
2...2..2..
......1...
4..3...212

ANSWER FORMAT
Give the completed grid as 10 lines of 10 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t3-002
========================================================================

WELLS INSTANCE public-001-t3-002 — 10 columns x 10 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

1..1.....3
2.2....4..
.1........
....3.....
2..3...3..
.0.......2
.10..1....
2..12.3...
1..2....23
2.2....3..

ANSWER FORMAT
Give the completed grid as 10 lines of 10 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t3-003
========================================================================

WELLS INSTANCE public-001-t3-003 — 10 columns x 10 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

4....1...3
4...1..2..
.........2
..21...1..
.0........
2....5...3
..3.......
....4..21.
..3.......
2......1.2

ANSWER FORMAT
Give the completed grid as 10 lines of 10 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t3-004
========================================================================

WELLS INSTANCE public-001-t3-004 — 10 columns x 10 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

2....3...0
.2......2.
.1...2....
....4...11
..4..2....
......2..2
.3..2..0..
..1..1....
..........
1.3..3...5

ANSWER FORMAT
Give the completed grid as 10 lines of 10 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t3-005
========================================================================

WELLS INSTANCE public-001-t3-005 — 10 columns x 10 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

....2..2.2
5.....2...
.......2.1
..2..2....
.....2....
..1.22....
..1.....4.
12.1......
.2..2...3.
2..1.1....

ANSWER FORMAT
Give the completed grid as 10 lines of 10 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t4-000
========================================================================

WELLS INSTANCE public-001-t4-000 — 12 columns x 12 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

..3..2.212..
.3....2....2
.........1..
.5.........1
.......23...
.....4......
............
3......2....
..4....1....
...........6
.....2......
0.2......5..

ANSWER FORMAT
Give the completed grid as 12 lines of 12 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t4-001
========================================================================

WELLS INSTANCE public-001-t4-001 — 12 columns x 12 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

3...3......4
2.....2..2..
....3...2...
.......1....
.4.4.......3
.......3....
.....2......
......2.3...
.3.....4...3
............
....3.......
11........5.

ANSWER FORMAT
Give the completed grid as 12 lines of 12 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t4-002
========================================================================

WELLS INSTANCE public-001-t4-002 — 12 columns x 12 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

..1........5
2..2.3..2...
....1.......
2111..2..2..
..1....2....
.....3......
.4.......322
....22......
........3...
...1...1....
....2.0..33.
.5...2.0....

ANSWER FORMAT
Give the completed grid as 12 lines of 12 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t4-003
========================================================================

WELLS INSTANCE public-001-t4-003 — 12 columns x 12 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

1.2.0...3..2
..1....3....
1..3..4....2
.1.....5....
..2...5.....
2..........3
............
.2.2.1.3.12.
1........2.0
.......3....
..3.3.....3.
2.....2.....

ANSWER FORMAT
Give the completed grid as 12 lines of 12 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t4-004
========================================================================

WELLS INSTANCE public-001-t4-004 — 12 columns x 12 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

..4...1..2..
...2....2.2.
.3....2....2
.........3..
....4......4
1..3........
.....4......
3...........
........33.2
.....1....1.
............
.433..3...11

ANSWER FORMAT
Give the completed grid as 12 lines of 12 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t4-005
========================================================================

WELLS INSTANCE public-001-t4-005 — 12 columns x 12 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.......4...7
3.1......7..
..1.........
.....3......
............
.4..1....3..
3...........
..3..2.3..1.
.........2..
...2..2....2
........0.21
2...5....2..

ANSWER FORMAT
Give the completed grid as 12 lines of 12 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t5-000
========================================================================

WELLS INSTANCE public-001-t5-000 — 14 columns x 14 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.......5...12.
.3............
...0..........
4...2....4....
..2..0.......5
..1...1.......
.2..2....2....
.....3.3...2..
1.3..........1
....2...2.2..2
.....2...1....
...3...2...22.
.4......2.....
6.....2....3.1

ANSWER FORMAT
Give the completed grid as 14 lines of 14 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t5-001
========================================================================

WELLS INSTANCE public-001-t5-001 — 14 columns x 14 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

2....5........
...2..........
0.2.2.........
1..2......5..4
.11.........4.
..............
3..2...5......
..........3...
..............
...4..........
..............
1...4.........
.0......4.....
2.2......4...8

ANSWER FORMAT
Give the completed grid as 14 lines of 14 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t5-002
========================================================================

WELLS INSTANCE public-001-t5-002 — 14 columns x 14 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.......2...3..
21.......1....
...4......3...
.....4...3....
2.....2.......
...2...2......
2............5
..3.3....3....
.......0......
......2..3....
...2.2......4.
.......2......
5............3
....2.3.12.2..

ANSWER FORMAT
Give the completed grid as 14 lines of 14 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t5-003
========================================================================

WELLS INSTANCE public-001-t5-003 — 14 columns x 14 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

..1...2.2...2.
.3..2..2...0..
....2.........
3...12...4...4
..011.........
...1...33.....
........4...2.
5.............
....3.........
...4.......4..
.....2.1......
...3.........4
0.............
..3.4...4.....

ANSWER FORMAT
Give the completed grid as 14 lines of 14 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t5-004
========================================================================

WELLS INSTANCE public-001-t5-004 — 14 columns x 14 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.2.2...5.3...3
0.0.1.....3...
.1..........0.
0..1..........
..3...4.......
.3......2..4..
1..2.........4
..21......2...
.....2.2......
......1.......
32.3........1.
..4........3..
.4.......5...4
......2.......

ANSWER FORMAT
Give the completed grid as 14 lines of 14 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.

========================================================================
public-001-t5-005
========================================================================

WELLS INSTANCE public-001-t5-005 — 14 columns x 14 rows

RULE
Every cell of the finished grid holds one digit: the number of orthogonal
steps (up, down, left or right — never diagonal) from that cell to the
nearest cell holding 0. A cell holding 0 is zero steps from itself.

PUZZLE
The grid below is partly filled in. A dot marks a cell you must fill in.
Rows run top to bottom; within a row, columns run left to right.
Exactly one completed grid satisfies the rule, and it can be reached by
deduction alone — no guessing is required at any point.

.....4..1...3.
..4.2.....2...
.......4...2..
.3..........2.
.2.....4..12..
.3....333....3
..2..........3
......1.2.....
1..3..1.....4.
.3...1...2....
..3...........
2....3........
.0.....4......
2..3......3..6

ANSWER FORMAT
Give the completed grid as 14 lines of 14 digits, with no spaces and no
other characters, between the tags <answer> and </answer>. Every digit you
were given must appear unchanged in its original position. You may reason
as much as you like before the tags; only the last <answer> block is read.