merge_triplets_to_form_target_triplet

 1# @leet start
 2class Solution:
 3    def mergeTriplets(self, triplets: list[list[int]], target: list[int]) -> bool:
 4        """
 5        To solve this problem, we can merge two triplets by only selecting the
 6        max of both items in each triplet.
 7        So, we need to meet two criteria:
 8        1. All the items in target have to be in the right positions.
 9        2. Any triplet that has an item that is larger than that target cannot
10        be used for the target triplet.
11
12        We know 1 must be true (otherwise the problem isn't solvable) and we also
13        know 2 must be true because say we have a triplet where any one of the items
14        is greater than its value in target:
15        target = [2, 4, 6]
16        curr = [2, 4, 8]
17        other = [3, 4, 6]
18        Even if we have a triplet, other, which has a 6 in the right position,
19        the max of 6 and 8 is 8, thus it cannot be used to match the triplet.
20
21        So, we iterate through the list of triplets, excluding all triplets that
22        have any value greater than the target.
23        For all other triplets, we check if any of their values match the target.
24        If so, they can be used in the final triplet.
25        Finally, we check to make sure we have at least one of each item in the right
26        place for the triplet, and if so, the triplet is solvable.
27        """
28        good = set()
29        tx, ty, tz = target
30
31        for triplet in triplets:
32            x, y, z = triplet
33            if x > tx or y > ty or z > tz:
34                continue
35            for i, val in enumerate(triplet):
36                if val == target[i]:
37                    good.add(i)
38
39        return len(good) == 3
40
41
42# @leet end
43
44
45def test():
46    assert 2 + 2 == 4
class Solution:
 3class Solution:
 4    def mergeTriplets(self, triplets: list[list[int]], target: list[int]) -> bool:
 5        """
 6        To solve this problem, we can merge two triplets by only selecting the
 7        max of both items in each triplet.
 8        So, we need to meet two criteria:
 9        1. All the items in target have to be in the right positions.
10        2. Any triplet that has an item that is larger than that target cannot
11        be used for the target triplet.
12
13        We know 1 must be true (otherwise the problem isn't solvable) and we also
14        know 2 must be true because say we have a triplet where any one of the items
15        is greater than its value in target:
16        target = [2, 4, 6]
17        curr = [2, 4, 8]
18        other = [3, 4, 6]
19        Even if we have a triplet, other, which has a 6 in the right position,
20        the max of 6 and 8 is 8, thus it cannot be used to match the triplet.
21
22        So, we iterate through the list of triplets, excluding all triplets that
23        have any value greater than the target.
24        For all other triplets, we check if any of their values match the target.
25        If so, they can be used in the final triplet.
26        Finally, we check to make sure we have at least one of each item in the right
27        place for the triplet, and if so, the triplet is solvable.
28        """
29        good = set()
30        tx, ty, tz = target
31
32        for triplet in triplets:
33            x, y, z = triplet
34            if x > tx or y > ty or z > tz:
35                continue
36            for i, val in enumerate(triplet):
37                if val == target[i]:
38                    good.add(i)
39
40        return len(good) == 3
def mergeTriplets(self, triplets: list[list[int]], target: list[int]) -> bool:
 4    def mergeTriplets(self, triplets: list[list[int]], target: list[int]) -> bool:
 5        """
 6        To solve this problem, we can merge two triplets by only selecting the
 7        max of both items in each triplet.
 8        So, we need to meet two criteria:
 9        1. All the items in target have to be in the right positions.
10        2. Any triplet that has an item that is larger than that target cannot
11        be used for the target triplet.
12
13        We know 1 must be true (otherwise the problem isn't solvable) and we also
14        know 2 must be true because say we have a triplet where any one of the items
15        is greater than its value in target:
16        target = [2, 4, 6]
17        curr = [2, 4, 8]
18        other = [3, 4, 6]
19        Even if we have a triplet, other, which has a 6 in the right position,
20        the max of 6 and 8 is 8, thus it cannot be used to match the triplet.
21
22        So, we iterate through the list of triplets, excluding all triplets that
23        have any value greater than the target.
24        For all other triplets, we check if any of their values match the target.
25        If so, they can be used in the final triplet.
26        Finally, we check to make sure we have at least one of each item in the right
27        place for the triplet, and if so, the triplet is solvable.
28        """
29        good = set()
30        tx, ty, tz = target
31
32        for triplet in triplets:
33            x, y, z = triplet
34            if x > tx or y > ty or z > tz:
35                continue
36            for i, val in enumerate(triplet):
37                if val == target[i]:
38                    good.add(i)
39
40        return len(good) == 3

To solve this problem, we can merge two triplets by only selecting the max of both items in each triplet. So, we need to meet two criteria:

  1. All the items in target have to be in the right positions.
  2. Any triplet that has an item that is larger than that target cannot be used for the target triplet.

We know 1 must be true (otherwise the problem isn't solvable) and we also know 2 must be true because say we have a triplet where any one of the items is greater than its value in target: target = [2, 4, 6] curr = [2, 4, 8] other = [3, 4, 6] Even if we have a triplet, other, which has a 6 in the right position, the max of 6 and 8 is 8, thus it cannot be used to match the triplet.

So, we iterate through the list of triplets, excluding all triplets that have any value greater than the target. For all other triplets, we check if any of their values match the target. If so, they can be used in the final triplet. Finally, we check to make sure we have at least one of each item in the right place for the triplet, and if so, the triplet is solvable.

def test():
46def test():
47    assert 2 + 2 == 4