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Finding minimum path sum for a given triangle using Dynamic Programming with Simple Visualization.
๐๐ข๐ฆ๐ ๐๐จ๐ฆ๐ฉ๐ฅ๐๐ฑ๐ข๐ญ๐ฒ : ๐(๐ง^๐)
We are iterating through all numbers in the triangle, in first row we have 1 number, in second row we have 2 numbers, likewise in nth row, we ll have n numbers.
Sum to n numbers 1 + 2 + 3 + ... + n = n(n-1)/2, which gives us time complexity of O(n^2)
๐๐ฉ๐๐๐ ๐๐จ๐ฆ๐ฉ๐ฅ๐๐ฑ๐ข๐ญ๐ฒ: ๐(๐ง)
We are using a single list called dp whose length is equal to the size of the last row of the triangle.
Hence, space complexity is O(n)
๐๐จ๐ฆ๐ฉ๐ฅ๐๐ญ๐ ๐๐ฅ๐๐ฒ๐ฅ๐ข๐ฌ๐ญ:
๐๐๐๐ญ๐๐จ๐๐ ๐๐๐ซ๐ ๐๐ฅ๐๐ฒ๐ฅ๐ข๐ฌ๐ญ
๐๐จ๐ง๐ง๐๐๐ญ ๐ฐ๐ข๐ญ๐ก ๐ฆ๐:
๐๐ข๐ฆ๐ ๐๐จ๐ฆ๐ฉ๐ฅ๐๐ฑ๐ข๐ญ๐ฒ : ๐(๐ง^๐)
We are iterating through all numbers in the triangle, in first row we have 1 number, in second row we have 2 numbers, likewise in nth row, we ll have n numbers.
Sum to n numbers 1 + 2 + 3 + ... + n = n(n-1)/2, which gives us time complexity of O(n^2)
๐๐ฉ๐๐๐ ๐๐จ๐ฆ๐ฉ๐ฅ๐๐ฑ๐ข๐ญ๐ฒ: ๐(๐ง)
We are using a single list called dp whose length is equal to the size of the last row of the triangle.
Hence, space complexity is O(n)
๐๐จ๐ฆ๐ฉ๐ฅ๐๐ญ๐ ๐๐ฅ๐๐ฒ๐ฅ๐ข๐ฌ๐ญ:
๐๐๐๐ญ๐๐จ๐๐ ๐๐๐ซ๐ ๐๐ฅ๐๐ฒ๐ฅ๐ข๐ฌ๐ญ
๐๐จ๐ง๐ง๐๐๐ญ ๐ฐ๐ข๐ญ๐ก ๐ฆ๐:
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