CSES - DatatÃ¤hti 2022 alku - Results
 Task: Spiraali (Spiral) Sender: Kaapipo Submission time: 2021-10-04 13:20:02 Language: CPython3 Status: READY Result: 0
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groupverdictscore
#10
#20
#30
Test results
testverdicttimegroup
#10.02 s1details
#20.02 s2details
#30.02 s3details

### Code

```def number_at(x, y, n):
d = min(x, y, n - x - 1, n - y - 1)
nn = n ** 2 - (n - 2 * k) ** 2 + 1

if x == y == d:
return nn

bl = nn + (n - 2 * d) - 1
if x == d and nn < bl:
return nn + (y - d)

br = bl + (n - 2 * d) - 1
if n - y - 1 == d and nn < br:
return bl + (x - d)

tr = br + (n - 2 * d) - 1
if n - x - 1 == d and nn < tr:
return br + (n - d) - y - 1

tl = tr + (n - 2 * d) - 2
if y == d and nn < tl:
return tr + (n - d) - x - 1

n, t = map(int, input().split())

for i in range(t):
y, x = map(int, input().split())
print(number_at(x - 1, y - 1, n))
```

### Test details

#### Test 1

Group: 1

Verdict:

input
10 100
1 1
1 2
1 3
1 4
...

correct output
1
36
35
34
33
...

user output
(empty)

Error:
```Traceback (most recent call last):
File "input/code.py", line 29, in <module>
print(number_at(x - 1, y - 1, n))
File "input/code.py", line 3, in number_at
nn = n ** 2 - (n - 2 * k) ** 2 + 1
NameError: name 'k' is not defined```

#### Test 2

Group: 2

Verdict:

input
1000 1000
371 263
915 322
946 880
53 738
...

correct output
773533
312166
206053
200080
593922
...

user output
(empty)

Error:
```Traceback (most recent call last):
File "input/code.py", line 29, in <module>
print(number_at(x - 1, y - 1, n))
File "input/code.py", line 3, in number_at
nn = n ** 2 - (n - 2 * k) ** 2 + 1
NameError: name 'k' is not defined```

#### Test 3

Group: 3

Verdict:

input
1000000000 1000
177757853 827347032
409613589 419171337
739269360 256524697
328695530 896842209
...

correct output
571375684522141210
967321186816598569
762879105851175000
370065046779516790
936897883750373771
...

user output
(empty)

Error:
```Traceback (most recent call last):
File "input/code.py", line 29, in <module>
print(number_at(x - 1, y - 1, n))
File "input/code.py", line 3, in number_at
nn = n ** 2 - (n - 2 * k) ** 2 + 1
NameError: name 'k' is not defined```