Date: 18 July, 2023
Model: gpt-3.5-turbo
Temperature: 0.2
Passing runs: 1
Total runs: 10
Success rate: 10%
Tokens: 280
def intersection(interval1, interval2):
"""You are given two intervals,
where each interval is a pair of integers. For example, interval = (start, end) = (1, 2).
The given intervals are closed which means that the interval (start, end)
includes both start and end.
For each given interval, it is assumed that its start is less or equal its end.
Your task is to determine whether the length of intersection of these two
intervals is a prime number.
Example, the intersection of the intervals (1, 3), (2, 4) is (2, 3)
which its length is 1, which not a prime number.
If the length of the intersection is a prime number, return "YES",
otherwise, return "NO".
If the two intervals don't intersect, return "NO".
[input/output] samples:
intersection((1, 2), (2, 3)) ==> "NO"
intersection((-1, 1), (0, 4)) ==> "NO"
intersection((-3, -1), (-5, 5)) ==> "YES"
"""
The above is an incomplete Python code fragment. Return the complete and correct code with no additional text.
def intersection(interval1, interval2):
"""You are given two intervals,
where each interval is a pair of integers. For example, interval = (start, end) = (1, 2).
The given intervals are closed which means that the interval (start, end)
includes both start and end.
For each given interval, it is assumed that its start is less or equal its end.
Your task is to determine whether the length of intersection of these two
intervals is a prime number.
Example, the intersection of the intervals (1, 3), (2, 4) is (2, 3)
which its length is 1, which not a prime number.
If the length of the intersection is a prime number, return "YES",
otherwise, return "NO".
If the two intervals don't intersect, return "NO".
[input/output] samples:
intersection((1, 2), (2, 3)) ==> "NO"
intersection((-1, 1), (0, 4)) ==> "NO"
intersection((-3, -1), (-5, 5)) ==> "YES"
"""def is_prime(num):
if num == 1 or num == 0:
return False
if num == 2:
return True
for i in range(2, num):
if num%i == 0:
return False
return True
l = max(interval1[0], interval2[0])
r = min(interval1[1], interval2[1])
length = r - l
if length > 0 and is_prime(length):
return "YES"
return "NO"
def check(candidate):
# Check some simple cases
assert candidate((1, 2), (2, 3)) == "NO"
assert candidate((-1, 1), (0, 4)) == "NO"
assert candidate((-3, -1), (-5, 5)) == "YES"
assert candidate((-2, 2), (-4, 0)) == "YES"
# Check some edge cases that are easy to work out by hand.
assert candidate((-11, 2), (-1, -1)) == "NO"
assert candidate((1, 2), (3, 5)) == "NO"
assert candidate((1, 2), (1, 2)) == "NO"
assert candidate((-2, -2), (-3, -2)) == "NO"
Start time: 2023-07-18 17:07:17
Duration: 4.63s
Completion tokens: 115
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
if start > end:
return "NO"
length = end - start + 1
if length <= 1:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:07:12
Duration: 4.45s
Completion tokens: 115
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
if start > end:
return "NO"
length = end - start + 1
if length <= 1:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:07:07
Duration: 5.62s
Completion tokens: 138
Result: Fail
def intersection(interval1, interval2):
start1, end1 = interval1
start2, end2 = interval2
intersection_start = max(start1, start2)
intersection_end = min(end1, end2)
if intersection_start > intersection_end:
return "NO"
intersection_length = intersection_end - intersection_start + 1
if intersection_length <= 1:
return "NO"
for i in range(2, int(intersection_length ** 0.5) + 1):
if intersection_length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:07:01
Duration: 5.72s
Completion tokens: 144
Result: Fail
def intersection(interval1, interval2):
start1, end1 = interval1
start2, end2 = interval2
if start1 > end2 or start2 > end1:
return "NO"
intersection_start = max(start1, start2)
intersection_end = min(end1, end2)
intersection_length = intersection_end - intersection_start + 1
if intersection_length <= 1:
return "NO"
for i in range(2, int(intersection_length ** 0.5) + 1):
if intersection_length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:06:56
Duration: 5.11s
Completion tokens: 115
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
if start > end:
return "NO"
length = end - start + 1
if length <= 1:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:06:51
Duration: 4.3s
Completion tokens: 112
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
if start > end:
return "NO"
length = end - start + 1
if length < 2:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:06:47
Duration: 4.61s
Completion tokens: 115
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
if start > end:
return "NO"
length = end - start + 1
if length <= 1:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:06:42
Duration: 4.49s
Completion tokens: 115
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
if start > end:
return "NO"
length = end - start + 1
if length <= 1:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:06:38
Duration: 4.06s
Completion tokens: 100
Result: Fail
def intersection(interval1, interval2):
start = max(interval1[0], interval2[0])
end = min(interval1[1], interval2[1])
length = end - start + 1
if length <= 1:
return "NO"
for i in range(2, int(length ** 0.5) + 1):
if length % i == 0:
return "NO"
return "YES"
Start time: 2023-07-18 17:06:33
Duration: 5.47s
Completion tokens: 140
Result: Pass
def intersection(interval1, interval2):
start1, end1 = interval1
start2, end2 = interval2
if end1 < start2 or end2 < start1:
return "NO"
intersection_start = max(start1, start2)
intersection_end = min(end1, end2)
intersection_length = intersection_end - intersection_start
if intersection_length <= 1:
return "NO"
for i in range(2, int(intersection_length ** 0.5) + 1):
if intersection_length % i == 0:
return "NO"
return "YES"