{"id":84105,"date":"2024-11-16T13:56:35","date_gmt":"2024-11-16T10:26:35","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/"},"modified":"2024-11-16T13:56:35","modified_gmt":"2024-11-16T10:26:35","slug":"demystifying-algorithms-two-pointers-4d7n","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/","title":{"rendered":"\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc: \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 &#8211; \u0627\u0646\u062c\u0645\u0646 DEV"},"content":{"rendered":"<p>Summarize this content to 400 words in Persian Lang <\/p>\n<p>  \u062a\u06a9\u0646\u06cc\u06a9 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0686\u06cc\u0633\u062a\u061f<\/p>\n<p>\u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a \u06a9\u0647 \u0627\u063a\u0644\u0628 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644\u06cc \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627 \u06cc\u0627 \u0644\u06cc\u0633\u062a \u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u0637 \u0647\u0633\u062a\u0646\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u0632 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0628\u0631\u0627\u06cc \u0639\u0628\u0648\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u067e\u0634\u062a \u0633\u0631 \u0647\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u063a\u06cc\u0631 \u0636\u0631\u0648\u0631\u06cc \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc \u062f\u0647\u062f. \u0627\u06cc\u0646 \u062a\u06a9\u0646\u06cc\u06a9 \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0628\u0647 \u062e\u0648\u0628\u06cc \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0628\u0647 \u0634\u0645\u0627 \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f \u062a\u0627 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u062c\u0641\u062a \u0647\u0627\u060c \u0633\u0647 \u0642\u0644\u0648\u0647\u0627 \u06cc\u0627 \u067e\u0627\u0631\u062a\u06cc\u0634\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0647\u06cc\u0646\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>  \u0646\u0645\u0627\u06cc \u0641\u0646\u06cc<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc: O(n) (\u062f\u0631 \u0627\u06a9\u062b\u0631 \u0645\u0648\u0627\u0631\u062f).<\/p>\n<p>\u0647\u0631 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u06cc\u06a9 \u0628\u0627\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f \u06a9\u0647 \u0645\u0646\u062c\u0631 \u0628\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u062e\u0637\u06cc \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627: O (1).<\/p>\n<p>\u0647\u06cc\u0686 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0627\u0636\u0627\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u0634\u0648\u062f\u060c \u0632\u06cc\u0631\u0627 \u062a\u0646\u0647\u0627 \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a\u06cc \u0627\u0632 \u0641\u0636\u0627 \u0628\u0631\u0627\u06cc \u0631\u062f\u06cc\u0627\u0628\u06cc \u0627\u0634\u0627\u0631\u0647 \u06af\u0631\u0647\u0627 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a.<\/p>\n<p>  \u062e\u0644\u0627\u0635\u0647 \u0622\u0646\u0648\u0631\u0627\u06a9<\/p>\n<p>\u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u0627\u0632 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0628\u0631\u0627\u06cc \u0627\u0633\u06a9\u0646 \u0645\u0648\u062b\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f. \u0627\u06cc\u0646 \u0646\u0634\u0627\u0646\u06af\u0631\u0647\u0627 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0631 \u06cc\u06a9 \u062c\u0647\u062a\u060c \u062c\u0647\u062a \u0645\u062e\u0627\u0644\u0641 \u06cc\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u067e\u0648\u06cc\u0627 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635 \u062d\u0631\u06a9\u062a \u06a9\u0646\u0646\u062f. \u0627\u06cc\u0646 \u0627\u0628\u0632\u0627\u0631 \u0642\u062f\u0631\u062a\u0645\u0646\u062f\u06cc \u0628\u0631\u0627\u06cc \u06a9\u0627\u0631 \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u06cc\u0627 \u06a9\u0627\u0647\u0634 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062d\u0644\u0642\u0647 \u0647\u0627\u06cc \u062a\u0648 \u062f\u0631 \u062a\u0648 \u0627\u0633\u062a.<\/p>\n<p>  \u062e\u0644\u0627\u0635\u0647 \u06cc\u06a9 \u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u0632 \u06a9\u0644\u0627\u0633 \u067e\u0646\u062c\u0645<\/p>\n<p>\u062a\u0635\u0648\u0631 \u06a9\u0646\u06cc\u062f \u0628\u0627 \u062f\u0648\u0633\u062a\u06cc \u062f\u0631 \u0648\u0633\u0637 \u06cc\u06a9 \u0637\u0646\u0627\u0628 \u0628\u0644\u0646\u062f \u0628\u0627 \u0634\u0631\u0648\u0639 \u0627\u0632 \u062f\u0648 \u0637\u0631\u0641 \u0645\u0642\u0627\u0628\u0644 \u0648 \u0631\u0627\u0647 \u0631\u0641\u062a\u0646 \u0628\u0647 \u0633\u0645\u062a \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0645\u0644\u0627\u0642\u0627\u062a \u0645\u06cc \u06a9\u0646\u06cc\u062f. \u0628\u0627 \u0647\u0645\u06a9\u0627\u0631\u06cc \u0648 \u0645\u0644\u0627\u0642\u0627\u062a \u062f\u0631 \u0645\u06cc\u0627\u0646\u0647\u060c \u0627\u0632 \u0627\u062a\u0644\u0627\u0641 \u0648\u0642\u062a \u0628\u0631\u0627\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u062f.<\/p>\n<p>  \u0645\u062b\u0627\u0644 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc<\/p>\n<p>\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u06cc\u06a9 \u062c\u0641\u062a \u062c\u0648\u0631\u0627\u0628 \u062f\u0631 \u06cc\u06a9 \u06a9\u0634\u0648\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0647\u0633\u062a\u06cc\u062f. \u0628\u0647 \u062c\u0627\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u0634\u0645\u0627 \u0627\u0632 \u06cc\u06a9 \u0633\u0631 \u06a9\u0634\u0648 \u0634\u0631\u0648\u0639 \u0645\u06cc \u06a9\u0646\u06cc\u062f \u0648 \u062f\u0648\u0633\u062a\u062a\u0627\u0646 \u0627\u0632 \u0633\u0631 \u062f\u06cc\u06af\u0631 \u0634\u0631\u0648\u0639 \u0645\u06cc \u06a9\u0646\u062f. \u0634\u0645\u0627 \u062f\u0631 \u0648\u0633\u0637 \u0645\u0644\u0627\u0642\u0627\u062a \u0645\u06cc \u06a9\u0646\u06cc\u062f \u0648 \u0628\u0647 \u0637\u0648\u0631 \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u062c\u0641\u062a \u0645\u0646\u0637\u0628\u0642 \u0631\u0627 \u0633\u0631\u06cc\u0639\u062a\u0631 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u062f.<\/p>\n<p>  \u0645\u062b\u0627\u0644 \u0647\u0627\u06cc\u06cc \u0628\u0627 \u06a9\u062f\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0648 \u0627\u0644\u06af\u0648\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/p>\n<p>  1. \u062f\u0648 \u062c\u0645\u0639 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/p>\n<p>\u0645\u0634\u06a9\u0644: \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647\u060c \u062f\u0648 \u0639\u062f\u062f \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0645\u062c\u0645\u0648\u0639 \u0622\u0646\u0647\u0627 \u0628\u0647 \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639 \u0647\u062f\u0641 \u0645\u06cc \u0631\u0633\u062f.<\/p>\n<p>\u06a9\u062f:<\/p>\n<p>def two_sum_two_pointers(nums, target):<br \/>\n    left, right = 0, len(nums) &#8211; 1<br \/>\n    while left &lt; right:<br \/>\n        current_sum = nums[left] + nums[right]\n        if current_sum == target:<br \/>\n            return [left, right]\n        elif current_sum &lt; target:<br \/>\n            left += 1<br \/>\n        else:<br \/>\n            right -= 1<br \/>\n    return None<\/p>\n<p># Example Usage<br \/>\nnums = [2, 3, 4, 6, 8]\ntarget = 10<br \/>\nprint(two_sum_two_pointers(nums, target))  # Output: [1, 3]\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc:<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc: O(n)<\/p>\n<p>\u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627: O (1)<\/p>\n<p>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647: \u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644<\/p>\n<p>  2. \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0631\u062f\u0646 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647<\/p>\n<p>\u0645\u0634\u06a9\u0644: \u0639\u0646\u0627\u0635\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u062f\u0631 \u062c\u0627\u06cc \u062e\u0648\u062f \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u06a9\u062f:<\/p>\n<p>def reverse_array(nums):<br \/>\n    left, right = 0, len(nums) &#8211; 1<br \/>\n    while left &lt; right:<br \/>\n        nums[left], nums[right] = nums[right], nums[left]\n        left += 1<br \/>\n        right -= 1<br \/>\n    return nums<\/p>\n<p># Example Usage<br \/>\nnums = [1, 2, 3, 4, 5]\nprint(reverse_array(nums))  # Output: [5, 4, 3, 2, 1]\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc:<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc: O(n)<\/p>\n<p>\u0647\u0631 \u0639\u0646\u0635\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0628\u0627 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0645\u0628\u0627\u062f\u0644\u0647 \u0645\u06cc \u0634\u0648\u062f \u0632\u06cc\u0631\u0627 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u062f\u0631 \u0648\u0633\u0637 \u0628\u0647 \u0647\u0645 \u0645\u06cc \u0631\u0633\u0646\u062f.<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627: O (1)<\/p>\n<p>\u0622\u0631\u0627\u06cc\u0647 \u062f\u0631 \u062c\u0627\u06cc \u062e\u0648\u062f \u0627\u0635\u0644\u0627\u062d \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u0646\u06cc\u0627\u0632\u06cc \u0628\u0647 \u0641\u0636\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0646\u062f\u0627\u0631\u062f.<\/p>\n<p>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647: \u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0631\u062f\u0646 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627<\/p>\n<p>  3. \u0638\u0631\u0641 \u0628\u0627 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0622\u0628<\/p>\n<p>\u0645\u0634\u06a9\u0644: \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u06a9\u0647 \u0627\u0631\u062a\u0641\u0627\u0639 \u062e\u0637\u0648\u0637 \u0639\u0645\u0648\u062f\u06cc \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f\u060c \u062f\u0648 \u062e\u0637 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0645\u062d\u0648\u0631 x \u0638\u0631\u0641\u06cc \u0628\u0627 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0645\u0633\u0627\u062d\u062a \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u0646\u062f.<\/p>\n<p>\u06a9\u062f:<\/p>\n<p>def max_area(heights):<br \/>\n    left, right = 0, len(heights) &#8211; 1<br \/>\n    max_area = 0<br \/>\n    while left &lt; right:<br \/>\n        current_area = min(heights[left], heights[right]) * (right &#8211; left)<br \/>\n        max_area = max(max_area, current_area)<br \/>\n        if heights[left] &lt; heights[right]:<br \/>\n            left += 1<br \/>\n        else:<br \/>\n            right -= 1<br \/>\n    return max_area<\/p>\n<p># Example Usage<br \/>\nheights = [1, 8, 6, 2, 5, 4, 8, 3, 7]\nprint(max_area(heights))  # Output: 49<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc:<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc: O(n)<\/p>\n<p>\u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627: O (1)<\/p>\n<p>\u0647\u06cc\u0686 \u062d\u0627\u0641\u0638\u0647 \u0627\u0636\u0627\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647: \u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644<\/p>\n<p>  4. Subsequence \u0627\u0633\u062a<\/p>\n<p>\u0645\u0634\u06a9\u0644: \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u0631\u0634\u062a\u0647 \u0627\u0633\u062a s \u062f\u0646\u0628\u0627\u0644\u0647 \u0627\u06cc \u0627\u0632 \u0631\u0634\u062a\u0647 \u0627\u0633\u062a t.<\/p>\n<p>\u06a9\u062f:<\/p>\n<p>def is_subsequence(s, t):<br \/>\n    s_ptr, t_ptr = 0, 0<br \/>\n    while s_ptr &lt; len(s) and t_ptr &lt; len(t):<br \/>\n        if s[s_ptr] == t[t_ptr]:<br \/>\n            s_ptr += 1<br \/>\n        t_ptr += 1<br \/>\n    return s_ptr == len(s)<\/p>\n<p># Example Usage<br \/>\ns = &#8220;abc&#8221;<br \/>\nt = &#8220;ahbgdc&#8221;<br \/>\nprint(is_subsequence(s, t))  # Output: True<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc:<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc: O(n)<\/p>\n<p>\u0647\u0631 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0631\u0634\u062a\u0647 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u062e\u0648\u062f \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627: O (1)<\/p>\n<p>\u0641\u0642\u0637 \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a\u06cc \u0627\u0632 \u062d\u0627\u0641\u0638\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<p>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647: \u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644<\/p>\n<p>  5. \u0627\u062f\u063a\u0627\u0645 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/p>\n<p>\u0645\u0634\u06a9\u0644: \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0627\u062f\u063a\u0627\u0645 \u06a9\u0646\u06cc\u062f.<\/p>\n<p>\u06a9\u062f:<\/p>\n<p>def merge_sorted_arrays(nums1, nums2):<br \/>\n    result = []\n    i, j = 0, 0<br \/>\n    while i &lt; len(nums1) and j &lt; len(nums2):<br \/>\n        if nums1[i] &lt; nums2[j]:<br \/>\n            result.append(nums1[i])<br \/>\n            i += 1<br \/>\n        else:<br \/>\n            result.append(nums2[j])<br \/>\n            j += 1<br \/>\n    result.extend(nums1[i:])<br \/>\n    result.extend(nums2[j:])<br \/>\n    return result<\/p>\n<p># Example Usage<br \/>\nnums1 = [1, 3, 5]\nnums2 = [2, 4, 6]\nprint(merge_sorted_arrays(nums1, nums2))  # Output: [1, 2, 3, 4, 5, 6]\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc:<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc: O(n + m)<\/p>\n<p>\u0647\u0631 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0639\u0628\u0648\u0631 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627: O(n + m)<\/p>\n<p>\u0622\u0631\u0627\u06cc\u0647 \u0627\u062f\u063a\u0627\u0645 \u0634\u062f\u0647 \u0628\u0647 \u0641\u0636\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u062f.<\/p>\n<p>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647: \u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a \u0628\u0631\u0627\u06cc \u0627\u062f\u063a\u0627\u0645 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/p>\n<p>  \u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc<\/p>\n<p>\u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u0627\u0628\u0632\u0627\u0631\u06cc \u0647\u0645\u0647 \u06a9\u0627\u0631\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0648\u062b\u0631 \u0628\u0627 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u062e\u0637\u06cc \u0648 \u062d\u062f\u0627\u0642\u0644 \u0641\u0636\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u06a9\u0627\u0631\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0634\u0627\u0645\u0644 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u06cc\u0627 \u0645\u0634\u06a9\u0644\u0627\u062a\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0628\u0647 \u0637\u0648\u0631 \u0637\u0628\u06cc\u0639\u06cc \u0628\u0647 \u0628\u062e\u0634 \u0647\u0627 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0627 \u062a\u0633\u0644\u0637 \u0628\u0631 Two Pointers\u060c \u0628\u0647 \u06cc\u06a9 \u062a\u06a9\u0646\u06cc\u06a9 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u062f\u0633\u062a \u062e\u0648\u0627\u0647\u06cc\u062f \u06cc\u0627\u0641\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<div data-article-id=\"2106875\" id=\"article-body\">\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter-rtl ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"\u062a\u063a\u06cc\u06cc\u0631 \u0648\u0636\u0639\u06cc\u062a \u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D8%AA%DA%A9%D9%86%DB%8C%DA%A9_%D8%AF%D9%88_%D9%86%D9%82%D8%B7%D9%87_%DA%86%DB%8C%D8%B3%D8%AA%D8%9F\" >\u062a\u06a9\u0646\u06cc\u06a9 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0686\u06cc\u0633\u062a\u061f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D9%86%D9%85%D8%A7%DB%8C_%D9%81%D9%86%DB%8C\" >\u0646\u0645\u0627\u06cc \u0641\u0646\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D8%AE%D9%84%D8%A7%D8%B5%D9%87_%D8%A2%D9%86%D9%88%D8%B1%D8%A7%DA%A9\" >\u062e\u0644\u0627\u0635\u0647 \u0622\u0646\u0648\u0631\u0627\u06a9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D8%AE%D9%84%D8%A7%D8%B5%D9%87_%DB%8C%DA%A9_%D8%AF%D8%A7%D9%86%D8%B4_%D8%A2%D9%85%D9%88%D8%B2_%DA%A9%D9%84%D8%A7%D8%B3_%D9%BE%D9%86%D8%AC%D9%85\" >\u062e\u0644\u0627\u0635\u0647 \u06cc\u06a9 \u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u0632 \u06a9\u0644\u0627\u0633 \u067e\u0646\u062c\u0645<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D9%85%D8%AB%D8%A7%D9%84_%D8%AF%D9%86%DB%8C%D8%A7%DB%8C_%D9%88%D8%A7%D9%82%D8%B9%DB%8C\" >\u0645\u062b\u0627\u0644 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D9%85%D8%AB%D8%A7%D9%84_%D9%87%D8%A7%DB%8C%DB%8C_%D8%A8%D8%A7_%DA%A9%D8%AF%D8%8C_%D9%BE%DB%8C%DA%86%DB%8C%D8%AF%DA%AF%DB%8C_%D9%88_%D8%A7%D9%84%DA%AF%D9%88%D9%87%D8%A7%DB%8C_%D8%A8%D9%87%DB%8C%D9%86%D9%87_%D8%B4%D8%AF%D9%87\" >\u0645\u062b\u0627\u0644 \u0647\u0627\u06cc\u06cc \u0628\u0627 \u06a9\u062f\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0648 \u0627\u0644\u06af\u0648\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#1_%D8%AF%D9%88_%D8%AC%D9%85%D8%B9_%D8%AF%D8%B1_%DB%8C%DA%A9_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87_%D9%85%D8%B1%D8%AA%D8%A8_%D8%B4%D8%AF%D9%87\" >1. \u062f\u0648 \u062c\u0645\u0639 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#2_%D9%85%D8%B9%DA%A9%D9%88%D8%B3_%DA%A9%D8%B1%D8%AF%D9%86_%DB%8C%DA%A9_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87\" >2. \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0631\u062f\u0646 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#3_%D8%B8%D8%B1%D9%81_%D8%A8%D8%A7_%D8%A8%DB%8C%D8%B4%D8%AA%D8%B1%DB%8C%D9%86_%D8%A2%D8%A8\" >3. \u0638\u0631\u0641 \u0628\u0627 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0622\u0628<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#4_Subsequence_%D8%A7%D8%B3%D8%AA\" >4. Subsequence \u0627\u0633\u062a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#5_%D8%A7%D8%AF%D8%BA%D8%A7%D9%85_%D8%AF%D9%88_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87_%D9%85%D8%B1%D8%AA%D8%A8_%D8%B4%D8%AF%D9%87\" >5. \u0627\u062f\u063a\u0627\u0645 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/nabfollower.com\/blog\/demystifying-algorithms-two-pointers-4d7n\/#%D9%86%D8%AA%DB%8C%D8%AC%D9%87_%DA%AF%DB%8C%D8%B1%DB%8C\" >\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h4><span class=\"ez-toc-section\" id=\"%D8%AA%DA%A9%D9%86%DB%8C%DA%A9_%D8%AF%D9%88_%D9%86%D9%82%D8%B7%D9%87_%DA%86%DB%8C%D8%B3%D8%AA%D8%9F\"><\/span>\n<p>  <strong>\u062a\u06a9\u0646\u06cc\u06a9 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0686\u06cc\u0633\u062a\u061f<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a \u06a9\u0647 \u0627\u063a\u0644\u0628 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644\u06cc \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627 \u06cc\u0627 \u0644\u06cc\u0633\u062a \u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u0637 \u0647\u0633\u062a\u0646\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u0632 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0628\u0631\u0627\u06cc \u0639\u0628\u0648\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u067e\u0634\u062a \u0633\u0631 \u0647\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u063a\u06cc\u0631 \u0636\u0631\u0648\u0631\u06cc \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc \u062f\u0647\u062f. \u0627\u06cc\u0646 \u062a\u06a9\u0646\u06cc\u06a9 \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0628\u0647 \u062e\u0648\u0628\u06cc \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0628\u0647 \u0634\u0645\u0627 \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f \u062a\u0627 \u0631\u0627\u0647 \u062d\u0644 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u062c\u0641\u062a \u0647\u0627\u060c \u0633\u0647 \u0642\u0644\u0648\u0647\u0627 \u06cc\u0627 \u067e\u0627\u0631\u062a\u06cc\u0634\u0646 \u0647\u0627 \u0631\u0627 \u0628\u0647\u06cc\u0646\u0647 \u06a9\u0646\u06cc\u062f.<\/p>\n<hr\/>\n<h4><span class=\"ez-toc-section\" id=\"%D9%86%D9%85%D8%A7%DB%8C_%D9%81%D9%86%DB%8C\"><\/span>\n<p>  <strong>\u0646\u0645\u0627\u06cc \u0641\u0646\u06cc<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>\n<strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong>: O(n) (\u062f\u0631 \u0627\u06a9\u062b\u0631 \u0645\u0648\u0627\u0631\u062f).<\/p>\n<ul>\n<li>\u0647\u0631 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u06cc\u06a9 \u0628\u0627\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0648\u0631\u0648\u062f\u06cc \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f \u06a9\u0647 \u0645\u0646\u062c\u0631 \u0628\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u062e\u0637\u06cc \u0645\u06cc \u0634\u0648\u062f.<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/strong>: O (1).<\/p>\n<ul>\n<li>\u0647\u06cc\u0686 \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062f\u0647 \u0627\u0636\u0627\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u0634\u0648\u062f\u060c \u0632\u06cc\u0631\u0627 \u062a\u0646\u0647\u0627 \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a\u06cc \u0627\u0632 \u0641\u0636\u0627 \u0628\u0631\u0627\u06cc \u0631\u062f\u06cc\u0627\u0628\u06cc \u0627\u0634\u0627\u0631\u0647 \u06af\u0631\u0647\u0627 \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<hr\/>\n<h4><span class=\"ez-toc-section\" id=\"%D8%AE%D9%84%D8%A7%D8%B5%D9%87_%D8%A2%D9%86%D9%88%D8%B1%D8%A7%DA%A9\"><\/span>\n<p>  <strong>\u062e\u0644\u0627\u0635\u0647 \u0622\u0646\u0648\u0631\u0627\u06a9<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u0627\u0632 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0628\u0631\u0627\u06cc \u0627\u0633\u06a9\u0646 \u0645\u0648\u062b\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f. \u0627\u06cc\u0646 \u0646\u0634\u0627\u0646\u06af\u0631\u0647\u0627 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0631 \u06cc\u06a9 \u062c\u0647\u062a\u060c \u062c\u0647\u062a \u0645\u062e\u0627\u0644\u0641 \u06cc\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u067e\u0648\u06cc\u0627 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635 \u062d\u0631\u06a9\u062a \u06a9\u0646\u0646\u062f. \u0627\u06cc\u0646 \u0627\u0628\u0632\u0627\u0631 \u0642\u062f\u0631\u062a\u0645\u0646\u062f\u06cc \u0628\u0631\u0627\u06cc \u06a9\u0627\u0631 \u0628\u0627 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u06cc\u0627 \u06a9\u0627\u0647\u0634 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u062d\u0644\u0642\u0647 \u0647\u0627\u06cc \u062a\u0648 \u062f\u0631 \u062a\u0648 \u0627\u0633\u062a.<\/p>\n<hr\/>\n<h4><span class=\"ez-toc-section\" id=\"%D8%AE%D9%84%D8%A7%D8%B5%D9%87_%DB%8C%DA%A9_%D8%AF%D8%A7%D9%86%D8%B4_%D8%A2%D9%85%D9%88%D8%B2_%DA%A9%D9%84%D8%A7%D8%B3_%D9%BE%D9%86%D8%AC%D9%85\"><\/span>\n<p>  <strong>\u062e\u0644\u0627\u0635\u0647 \u06cc\u06a9 \u062f\u0627\u0646\u0634 \u0622\u0645\u0648\u0632 \u06a9\u0644\u0627\u0633 \u067e\u0646\u062c\u0645<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u062a\u0635\u0648\u0631 \u06a9\u0646\u06cc\u062f \u0628\u0627 \u062f\u0648\u0633\u062a\u06cc \u062f\u0631 \u0648\u0633\u0637 \u06cc\u06a9 \u0637\u0646\u0627\u0628 \u0628\u0644\u0646\u062f \u0628\u0627 \u0634\u0631\u0648\u0639 \u0627\u0632 \u062f\u0648 \u0637\u0631\u0641 \u0645\u0642\u0627\u0628\u0644 \u0648 \u0631\u0627\u0647 \u0631\u0641\u062a\u0646 \u0628\u0647 \u0633\u0645\u062a \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0645\u0644\u0627\u0642\u0627\u062a \u0645\u06cc \u06a9\u0646\u06cc\u062f. \u0628\u0627 \u0647\u0645\u06a9\u0627\u0631\u06cc \u0648 \u0645\u0644\u0627\u0642\u0627\u062a \u062f\u0631 \u0645\u06cc\u0627\u0646\u0647\u060c \u0627\u0632 \u0627\u062a\u0644\u0627\u0641 \u0648\u0642\u062a \u0628\u0631\u0627\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u062f.<\/p>\n<hr\/>\n<h4><span class=\"ez-toc-section\" id=\"%D9%85%D8%AB%D8%A7%D9%84_%D8%AF%D9%86%DB%8C%D8%A7%DB%8C_%D9%88%D8%A7%D9%82%D8%B9%DB%8C\"><\/span>\n<p>  <strong>\u0645\u062b\u0627\u0644 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u06cc\u06a9 \u062c\u0641\u062a \u062c\u0648\u0631\u0627\u0628 \u062f\u0631 \u06cc\u06a9 \u06a9\u0634\u0648\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0647\u0633\u062a\u06cc\u062f. \u0628\u0647 \u062c\u0627\u06cc \u062c\u0633\u062a\u062c\u0648\u06cc \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u0634\u0645\u0627 \u0627\u0632 \u06cc\u06a9 \u0633\u0631 \u06a9\u0634\u0648 \u0634\u0631\u0648\u0639 \u0645\u06cc \u06a9\u0646\u06cc\u062f \u0648 \u062f\u0648\u0633\u062a\u062a\u0627\u0646 \u0627\u0632 \u0633\u0631 \u062f\u06cc\u06af\u0631 \u0634\u0631\u0648\u0639 \u0645\u06cc \u06a9\u0646\u062f. \u0634\u0645\u0627 \u062f\u0631 \u0648\u0633\u0637 \u0645\u0644\u0627\u0642\u0627\u062a \u0645\u06cc \u06a9\u0646\u06cc\u062f \u0648 \u0628\u0647 \u0637\u0648\u0631 \u0633\u06cc\u0633\u062a\u0645\u0627\u062a\u06cc\u06a9 \u062c\u0641\u062a \u0645\u0646\u0637\u0628\u0642 \u0631\u0627 \u0633\u0631\u06cc\u0639\u062a\u0631 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u062f.<\/p>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"%D9%85%D8%AB%D8%A7%D9%84_%D9%87%D8%A7%DB%8C%DB%8C_%D8%A8%D8%A7_%DA%A9%D8%AF%D8%8C_%D9%BE%DB%8C%DA%86%DB%8C%D8%AF%DA%AF%DB%8C_%D9%88_%D8%A7%D9%84%DA%AF%D9%88%D9%87%D8%A7%DB%8C_%D8%A8%D9%87%DB%8C%D9%86%D9%87_%D8%B4%D8%AF%D9%87\"><\/span>\n<p>  <strong>\u0645\u062b\u0627\u0644 \u0647\u0627\u06cc\u06cc \u0628\u0627 \u06a9\u062f\u060c \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0648 \u0627\u0644\u06af\u0648\u0647\u0627\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"1_%D8%AF%D9%88_%D8%AC%D9%85%D8%B9_%D8%AF%D8%B1_%DB%8C%DA%A9_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87_%D9%85%D8%B1%D8%AA%D8%A8_%D8%B4%D8%AF%D9%87\"><\/span>\n<p>  <strong>1. \u062f\u0648 \u062c\u0645\u0639 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u0645\u0634\u06a9\u0644<\/strong>: \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647\u060c \u062f\u0648 \u0639\u062f\u062f \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0645\u062c\u0645\u0648\u0639 \u0622\u0646\u0647\u0627 \u0628\u0647 \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639 \u0647\u062f\u0641 \u0645\u06cc \u0631\u0633\u062f.<\/p>\n<p><strong>\u06a9\u062f<\/strong>:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight python\"><code><span class=\"k\">def<\/span> <span class=\"nf\">two_sum_two_pointers<\/span><span class=\"p\">(<\/span><span class=\"n\">nums<\/span><span class=\"p\">,<\/span> <span class=\"n\">target<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">left<\/span><span class=\"p\">,<\/span> <span class=\"n\">right<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">nums<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"k\">while<\/span> <span class=\"n\">left<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">right<\/span><span class=\"p\">:<\/span>\n        <span class=\"n\">current_sum<\/span> <span class=\"o\">=<\/span> <span class=\"n\">nums<\/span><span class=\"p\">[<\/span><span class=\"n\">left<\/span><span class=\"p\">]<\/span> <span class=\"o\">+<\/span> <span class=\"n\">nums<\/span><span class=\"p\">[<\/span><span class=\"n\">right<\/span><span class=\"p\">]<\/span>\n        <span class=\"k\">if<\/span> <span class=\"n\">current_sum<\/span> <span class=\"o\">==<\/span> <span class=\"n\">target<\/span><span class=\"p\">:<\/span>\n            <span class=\"k\">return<\/span> <span class=\"p\">[<\/span><span class=\"n\">left<\/span><span class=\"p\">,<\/span> <span class=\"n\">right<\/span><span class=\"p\">]<\/span>\n        <span class=\"k\">elif<\/span> <span class=\"n\">current_sum<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">target<\/span><span class=\"p\">:<\/span>\n            <span class=\"n\">left<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n        <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\n            <span class=\"n\">right<\/span> <span class=\"o\">-=<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"k\">return<\/span> <span class=\"bp\">None<\/span>\n\n<span class=\"c1\"># Example Usage\n<\/span><span class=\"n\">nums<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">]<\/span>\n<span class=\"n\">target<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nf\">two_sum_two_pointers<\/span><span class=\"p\">(<\/span><span class=\"n\">nums<\/span><span class=\"p\">,<\/span> <span class=\"n\">target<\/span><span class=\"p\">))<\/span>  <span class=\"c1\"># Output: [1, 3]\n<\/span><\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc<\/strong>:<\/p>\n<ul>\n<li>\n<strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong>: O(n)<\/p>\n<ul>\n<li>\u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/strong>: O (1)<\/p>\n<\/li>\n<\/ul>\n<p><strong>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/strong>: <strong>\u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a<\/strong> \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644<\/p>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"2_%D9%85%D8%B9%DA%A9%D9%88%D8%B3_%DA%A9%D8%B1%D8%AF%D9%86_%DB%8C%DA%A9_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87\"><\/span>\n<p>  <strong>2. \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0631\u062f\u0646 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u0645\u0634\u06a9\u0644<\/strong>: \u0639\u0646\u0627\u0635\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u062f\u0631 \u062c\u0627\u06cc \u062e\u0648\u062f \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0646\u06cc\u062f.<\/p>\n<p><strong>\u06a9\u062f<\/strong>:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight python\"><code><span class=\"k\">def<\/span> <span class=\"nf\">reverse_array<\/span><span class=\"p\">(<\/span><span class=\"n\">nums<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">left<\/span><span class=\"p\">,<\/span> <span class=\"n\">right<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">nums<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"k\">while<\/span> <span class=\"n\">left<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">right<\/span><span class=\"p\">:<\/span>\n        <span class=\"n\">nums<\/span><span class=\"p\">[<\/span><span class=\"n\">left<\/span><span class=\"p\">],<\/span> <span class=\"n\">nums<\/span><span class=\"p\">[<\/span><span class=\"n\">right<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">nums<\/span><span class=\"p\">[<\/span><span class=\"n\">right<\/span><span class=\"p\">],<\/span> <span class=\"n\">nums<\/span><span class=\"p\">[<\/span><span class=\"n\">left<\/span><span class=\"p\">]<\/span>\n        <span class=\"n\">left<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n        <span class=\"n\">right<\/span> <span class=\"o\">-=<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">nums<\/span>\n\n<span class=\"c1\"># Example Usage\n<\/span><span class=\"n\">nums<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">]<\/span>\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nf\">reverse_array<\/span><span class=\"p\">(<\/span><span class=\"n\">nums<\/span><span class=\"p\">))<\/span>  <span class=\"c1\"># Output: [5, 4, 3, 2, 1]\n<\/span><\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc<\/strong>:<\/p>\n<ul>\n<li>\n<strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong>: O(n)<\/p>\n<ul>\n<li>\u0647\u0631 \u0639\u0646\u0635\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0628\u0627 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0645\u0628\u0627\u062f\u0644\u0647 \u0645\u06cc \u0634\u0648\u062f \u0632\u06cc\u0631\u0627 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u062f\u0631 \u0648\u0633\u0637 \u0628\u0647 \u0647\u0645 \u0645\u06cc \u0631\u0633\u0646\u062f.\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/strong>: O (1)<\/p>\n<ul>\n<li>\u0622\u0631\u0627\u06cc\u0647 \u062f\u0631 \u062c\u0627\u06cc \u062e\u0648\u062f \u0627\u0635\u0644\u0627\u062d \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u0646\u06cc\u0627\u0632\u06cc \u0628\u0647 \u0641\u0636\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0646\u062f\u0627\u0631\u062f.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/strong>: <strong>\u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a<\/strong> \u0628\u0631\u0627\u06cc \u0645\u0639\u06a9\u0648\u0633 \u06a9\u0631\u062f\u0646 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627<\/p>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"3_%D8%B8%D8%B1%D9%81_%D8%A8%D8%A7_%D8%A8%DB%8C%D8%B4%D8%AA%D8%B1%DB%8C%D9%86_%D8%A2%D8%A8\"><\/span>\n<p>  <strong>3. \u0638\u0631\u0641 \u0628\u0627 \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u0622\u0628<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u0645\u0634\u06a9\u0644<\/strong>: \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0622\u0631\u0627\u06cc\u0647 \u0627\u06cc \u06a9\u0647 \u0627\u0631\u062a\u0641\u0627\u0639 \u062e\u0637\u0648\u0637 \u0639\u0645\u0648\u062f\u06cc \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f\u060c \u062f\u0648 \u062e\u0637 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0645\u062d\u0648\u0631 x \u0638\u0631\u0641\u06cc \u0628\u0627 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0645\u0633\u0627\u062d\u062a \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u0646\u062f.<\/p>\n<p><strong>\u06a9\u062f<\/strong>:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight python\"><code><span class=\"k\">def<\/span> <span class=\"nf\">max_area<\/span><span class=\"p\">(<\/span><span class=\"n\">heights<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">left<\/span><span class=\"p\">,<\/span> <span class=\"n\">right<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">heights<\/span><span class=\"p\">)<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"n\">max_area<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span>\n    <span class=\"k\">while<\/span> <span class=\"n\">left<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">right<\/span><span class=\"p\">:<\/span>\n        <span class=\"n\">current_area<\/span> <span class=\"o\">=<\/span> <span class=\"nf\">min<\/span><span class=\"p\">(<\/span><span class=\"n\">heights<\/span><span class=\"p\">[<\/span><span class=\"n\">left<\/span><span class=\"p\">],<\/span> <span class=\"n\">heights<\/span><span class=\"p\">[<\/span><span class=\"n\">right<\/span><span class=\"p\">])<\/span> <span class=\"o\">*<\/span> <span class=\"p\">(<\/span><span class=\"n\">right<\/span> <span class=\"o\">-<\/span> <span class=\"n\">left<\/span><span class=\"p\">)<\/span>\n        <span class=\"n\">max_area<\/span> <span class=\"o\">=<\/span> <span class=\"nf\">max<\/span><span class=\"p\">(<\/span><span class=\"n\">max_area<\/span><span class=\"p\">,<\/span> <span class=\"n\">current_area<\/span><span class=\"p\">)<\/span>\n        <span class=\"k\">if<\/span> <span class=\"n\">heights<\/span><span class=\"p\">[<\/span><span class=\"n\">left<\/span><span class=\"p\">]<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">heights<\/span><span class=\"p\">[<\/span><span class=\"n\">right<\/span><span class=\"p\">]:<\/span>\n            <span class=\"n\">left<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n        <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\n            <span class=\"n\">right<\/span> <span class=\"o\">-=<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">max_area<\/span>\n\n<span class=\"c1\"># Example Usage\n<\/span><span class=\"n\">heights<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">,<\/span> <span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">8<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">7<\/span><span class=\"p\">]<\/span>\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nf\">max_area<\/span><span class=\"p\">(<\/span><span class=\"n\">heights<\/span><span class=\"p\">))<\/span>  <span class=\"c1\"># Output: 49\n<\/span><\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc<\/strong>:<\/p>\n<ul>\n<li>\n<strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong>: O(n)<\/p>\n<ul>\n<li>\u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0622\u0631\u0627\u06cc\u0647 \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/strong>: O (1)<\/p>\n<ul>\n<li>\u0647\u06cc\u0686 \u062d\u0627\u0641\u0638\u0647 \u0627\u0636\u0627\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u0634\u0648\u062f.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/strong>: <strong>\u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a<\/strong> \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644<\/p>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"4_Subsequence_%D8%A7%D8%B3%D8%AA\"><\/span>\n<p>  <strong>4. Subsequence \u0627\u0633\u062a<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u0645\u0634\u06a9\u0644<\/strong>: \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u06cc\u06a9 \u0631\u0634\u062a\u0647 \u0627\u0633\u062a <code>s<\/code> \u062f\u0646\u0628\u0627\u0644\u0647 \u0627\u06cc \u0627\u0632 \u0631\u0634\u062a\u0647 \u0627\u0633\u062a <code>t<\/code>.<\/p>\n<p><strong>\u06a9\u062f<\/strong>:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight python\"><code><span class=\"k\">def<\/span> <span class=\"nf\">is_subsequence<\/span><span class=\"p\">(<\/span><span class=\"n\">s<\/span><span class=\"p\">,<\/span> <span class=\"n\">t<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">s_ptr<\/span><span class=\"p\">,<\/span> <span class=\"n\">t_ptr<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span>\n    <span class=\"k\">while<\/span> <span class=\"n\">s_ptr<\/span> <span class=\"o\">&lt;<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">s<\/span><span class=\"p\">)<\/span> <span class=\"ow\">and<\/span> <span class=\"n\">t_ptr<\/span> <span class=\"o\">&lt;<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">t<\/span><span class=\"p\">):<\/span>\n        <span class=\"k\">if<\/span> <span class=\"n\">s<\/span><span class=\"p\">[<\/span><span class=\"n\">s_ptr<\/span><span class=\"p\">]<\/span> <span class=\"o\">==<\/span> <span class=\"n\">t<\/span><span class=\"p\">[<\/span><span class=\"n\">t_ptr<\/span><span class=\"p\">]:<\/span>\n            <span class=\"n\">s_ptr<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n        <span class=\"n\">t_ptr<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">s_ptr<\/span> <span class=\"o\">==<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">s<\/span><span class=\"p\">)<\/span>\n\n<span class=\"c1\"># Example Usage\n<\/span><span class=\"n\">s<\/span> <span class=\"o\">=<\/span> <span class=\"sh\">\"<\/span><span class=\"s\">abc<\/span><span class=\"sh\">\"<\/span>\n<span class=\"n\">t<\/span> <span class=\"o\">=<\/span> <span class=\"sh\">\"<\/span><span class=\"s\">ahbgdc<\/span><span class=\"sh\">\"<\/span>\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nf\">is_subsequence<\/span><span class=\"p\">(<\/span><span class=\"n\">s<\/span><span class=\"p\">,<\/span> <span class=\"n\">t<\/span><span class=\"p\">))<\/span>  <span class=\"c1\"># Output: True\n<\/span><\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc<\/strong>:<\/p>\n<ul>\n<li>\n<strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong>: O(n)<\/p>\n<ul>\n<li>\u0647\u0631 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0631\u0634\u062a\u0647 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u062e\u0648\u062f \u0631\u0627 \u0637\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/strong>: O (1)<\/p>\n<ul>\n<li>\u0641\u0642\u0637 \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a\u06cc \u0627\u0632 \u062d\u0627\u0641\u0638\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/strong>: <strong>\u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a<\/strong> \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644<\/p>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"5_%D8%A7%D8%AF%D8%BA%D8%A7%D9%85_%D8%AF%D9%88_%D8%A2%D8%B1%D8%A7%DB%8C%D9%87_%D9%85%D8%B1%D8%AA%D8%A8_%D8%B4%D8%AF%D9%87\"><\/span>\n<p>  <strong>5. \u0627\u062f\u063a\u0627\u0645 \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u0645\u0634\u06a9\u0644<\/strong>: \u062f\u0648 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0631\u0627 \u062f\u0631 \u06cc\u06a9 \u0622\u0631\u0627\u06cc\u0647 \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u0627\u062f\u063a\u0627\u0645 \u06a9\u0646\u06cc\u062f.<\/p>\n<p><strong>\u06a9\u062f<\/strong>:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight python\"><code><span class=\"k\">def<\/span> <span class=\"nf\">merge_sorted_arrays<\/span><span class=\"p\">(<\/span><span class=\"n\">nums1<\/span><span class=\"p\">,<\/span> <span class=\"n\">nums2<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">result<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[]<\/span>\n    <span class=\"n\">i<\/span><span class=\"p\">,<\/span> <span class=\"n\">j<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span>\n    <span class=\"k\">while<\/span> <span class=\"n\">i<\/span> <span class=\"o\">&lt;<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">nums1<\/span><span class=\"p\">)<\/span> <span class=\"ow\">and<\/span> <span class=\"n\">j<\/span> <span class=\"o\">&lt;<\/span> <span class=\"nf\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">nums2<\/span><span class=\"p\">):<\/span>\n        <span class=\"k\">if<\/span> <span class=\"n\">nums1<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">nums2<\/span><span class=\"p\">[<\/span><span class=\"n\">j<\/span><span class=\"p\">]:<\/span>\n            <span class=\"n\">result<\/span><span class=\"p\">.<\/span><span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">nums1<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">])<\/span>\n            <span class=\"n\">i<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n        <span class=\"k\">else<\/span><span class=\"p\">:<\/span>\n            <span class=\"n\">result<\/span><span class=\"p\">.<\/span><span class=\"nf\">append<\/span><span class=\"p\">(<\/span><span class=\"n\">nums2<\/span><span class=\"p\">[<\/span><span class=\"n\">j<\/span><span class=\"p\">])<\/span>\n            <span class=\"n\">j<\/span> <span class=\"o\">+=<\/span> <span class=\"mi\">1<\/span>\n    <span class=\"n\">result<\/span><span class=\"p\">.<\/span><span class=\"nf\">extend<\/span><span class=\"p\">(<\/span><span class=\"n\">nums1<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">:])<\/span>\n    <span class=\"n\">result<\/span><span class=\"p\">.<\/span><span class=\"nf\">extend<\/span><span class=\"p\">(<\/span><span class=\"n\">nums2<\/span><span class=\"p\">[<\/span><span class=\"n\">j<\/span><span class=\"p\">:])<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">result<\/span>\n\n<span class=\"c1\"># Example Usage\n<\/span><span class=\"n\">nums1<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">,<\/span> <span class=\"mi\">5<\/span><span class=\"p\">]<\/span>\n<span class=\"n\">nums2<\/span> <span class=\"o\">=<\/span> <span class=\"p\">[<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">4<\/span><span class=\"p\">,<\/span> <span class=\"mi\">6<\/span><span class=\"p\">]<\/span>\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"nf\">merge_sorted_arrays<\/span><span class=\"p\">(<\/span><span class=\"n\">nums1<\/span><span class=\"p\">,<\/span> <span class=\"n\">nums2<\/span><span class=\"p\">))<\/span>  <span class=\"c1\"># Output: [1, 2, 3, 4, 5, 6]\n<\/span><\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc<\/strong>:<\/p>\n<ul>\n<li>\n<strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc<\/strong>: O(n + m)<\/p>\n<ul>\n<li>\u0647\u0631 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u06cc\u06a9 \u0628\u0627\u0631 \u0627\u0632 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0639\u0628\u0648\u0631 \u0645\u06cc \u06a9\u0646\u0646\u062f.\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p><strong>\u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0641\u0636\u0627<\/strong>: O(n + m)<\/p>\n<ul>\n<li>\u0622\u0631\u0627\u06cc\u0647 \u0627\u062f\u063a\u0627\u0645 \u0634\u062f\u0647 \u0628\u0647 \u0641\u0636\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u062f.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>\u0627\u0644\u06af\u0648\u06cc \u0628\u0647\u06cc\u0646\u0647 \u0634\u062f\u0647<\/strong>: <strong>\u062f\u0648 \u0627\u0634\u0627\u0631\u0647 \u06af\u0631 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 \u0628\u0647\u06cc\u0646\u0647 \u0627\u0633\u062a<\/strong> \u0628\u0631\u0627\u06cc \u0627\u062f\u063a\u0627\u0645 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647<\/p>\n<hr\/>\n<h4><span class=\"ez-toc-section\" id=\"%D9%86%D8%AA%DB%8C%D8%AC%D9%87_%DA%AF%DB%8C%D8%B1%DB%8C\"><\/span>\n<p>  <strong>\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u0627\u0628\u0632\u0627\u0631\u06cc \u0647\u0645\u0647 \u06a9\u0627\u0631\u0647 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0648\u062b\u0631 \u0628\u0627 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0632\u0645\u0627\u0646\u06cc \u062e\u0637\u06cc \u0648 \u062d\u062f\u0627\u0642\u0644 \u0641\u0636\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u06a9\u0627\u0631\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0634\u0627\u0645\u0644 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0631\u062a\u0628 \u0634\u062f\u0647 \u06cc\u0627 \u0645\u0634\u06a9\u0644\u0627\u062a\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0628\u0647 \u0637\u0648\u0631 \u0637\u0628\u06cc\u0639\u06cc \u0628\u0647 \u0628\u062e\u0634 \u0647\u0627 \u062a\u0642\u0633\u06cc\u0645 \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0627\u0633\u062a.<\/p>\n<p>\u0628\u0627 \u062a\u0633\u0644\u0637 \u0628\u0631 Two Pointers\u060c \u0628\u0647 \u06cc\u06a9 \u062a\u06a9\u0646\u06cc\u06a9 \u0628\u0647\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u062f\u0633\u062a \u062e\u0648\u0627\u0647\u06cc\u062f \u06cc\u0627\u0641\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0645\u0633\u0627\u0626\u0644 \u062f\u0646\u06cc\u0627\u06cc \u0648\u0627\u0642\u0639\u06cc \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u06cc \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Summarize this content to 400 words in Persian Lang \u062a\u06a9\u0646\u06cc\u06a9 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0686\u06cc\u0633\u062a\u061f \u062a\u06a9\u0646\u06cc\u06a9 Two Pointers \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a \u06a9\u0647 \u0627\u063a\u0644\u0628 \u0628\u0631\u0627\u06cc \u062d\u0644 \u0645\u0633\u0627\u0626\u0644\u06cc \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0622\u0631\u0627\u06cc\u0647 \u0647\u0627 \u06cc\u0627 \u0644\u06cc\u0633\u062a \u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u0637 \u0647\u0633\u062a\u0646\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u0632 \u062f\u0648 \u0646\u0634\u0627\u0646\u06af\u0631 \u0628\u0631\u0627\u06cc \u0639\u0628\u0648\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u067e\u0634\u062a \u0633\u0631 \u0647\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u063a\u06cc\u0631 \u0636\u0631\u0648\u0631\u06cc &hellip;<\/p>\n","protected":false},"author":2,"featured_media":84106,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[339],"tags":[],"class_list":["post-84105","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dev"],"_links":{"self":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts\/84105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/comments?post=84105"}],"version-history":[{"count":0,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts\/84105\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/media\/84106"}],"wp:attachment":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/media?parent=84105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/categories?post=84105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/tags?post=84105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}