CSES - DatatÃ¤hti 2016 alku - Results
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### Code

```import math
from array import array

# Parse input
line = input().split()
height = int(line[0])
width = int(line[1])
desired_trees = int(line[2])

field = []
for y in range(height):
line = input()
field.extend([x == '*' for x in line])

# Create index
index = []
for i in range(width*height)
this = 0
x, y = divmod(i, width)
if field[i]:
this = 1
if y > 0:
this += index[i-width]
if x > 0:
this += index[i-1]
if y > 0 and x > 0:
this -= index[i-width-1]
index.append(this)
index = array('I', index) # use array instead of list for sake of speed

# Calculate
def trees_in(x1, y1, size):
x2 = x1 + size - 1
y2 = y1 + size - 1
if x1 == 0 and y1 == 0:
return index[y2*width + x2]
elif x1 == 0:
return index[y2*width + x2] - index[(y1-1)*width + x2]
elif y1 == 0:
return index[y2*width + x2] - index[y2*width + (x1-1)]
else:
return (index[y2*width + x2] - index[(y1-1)*width + x2] -
index[y2*width + (x1-1)] + index[(y1-1)*width + (x1-1)])

options = 0
min_size = math.ceil(math.sqrt(desired_trees))
for y in range(height):
for x in range(width):
max_size = min(height-y, width-x)
for size in range(min_size, max_size+1):
trees = trees_in(x, y, size)
if trees == desired_trees:
options += 1
elif trees > desired_trees:
# bigger area can't have less trees
break

print(options)
```

### Test details

#### Test 1

Group: 1

Verdict:

input
10 10 1
......*...
.......*..
*..*....*.
*....*....
...

correct output
94

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 2

Group: 1

Verdict:

input
10 10 5
**********
**********
**********
**********
...

correct output
0

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 3

Group: 1

Verdict:

input
10 10 10
**...*...*
*..*.**.*.
...**.*..*
*...**.*..
...

correct output
4

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 4

Group: 1

Verdict:

input
10 10 5
****......
*.*.**..**
....*.*..*
...*.***..
...

correct output
16

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 5

Group: 1

Verdict:

input
10 10 2
**.***..*.
...*.*....
.***.*...*
***.***..*
...

correct output
30

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 6

Group: 2

Verdict:

input
500 500 1
.................................

correct output
9552040

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 7

Group: 2

Verdict:

input
500 500 5
.................................

correct output
1536063

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 8

Group: 2

Verdict:

input
500 500 25000
**...*...**..*.*..*.**.*..*.*....

correct output
288

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 9

Group: 2

Verdict:

input
500 500 12500
**.**.*..*...*.**...*.***........

correct output
786

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 10

Group: 2

Verdict:

input
500 500 5000
.*.*.**..*.*.**.**..*..**...*....

correct output
1763

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 11

Group: 3

Verdict:

input
2000 2000 1
.................................

correct output
489611392

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 12

Group: 3

Verdict:

input
2000 2000 5
.................................

correct output
120725884

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 13

Group: 3

Verdict:

input
2000 2000 400000
..*..**.**.**.*.***...**.*..**...

correct output
1849

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 14

Group: 3

Verdict:

input
2000 2000 200000
***.*....*.*..*....**..*..*.*....

correct output
2665

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```

#### Test 15

Group: 3

Verdict:

input
2000 2000 80000
**.**...*.***.**....**.*....*....

correct output
5587

user output
(empty)

Error:
```File "input/code.py", line 17
for i in range(width*height)
^
SyntaxError: invalid syntax```