Our hero Teemo is attacking an enemy Ashe with poison attacks! When Teemo attacks Ashe, Ashe gets poisoned for a exactly duration seconds. More formally, an attack at second t will mean Ashe is poisoned during the inclusive time interval [t, t + duration - 1]. If Teemo attacks again before the poison effect ends, the timer for it is reset, and the poison effect will end duration seconds after the new attack.
You are given a non-decreasing integer array timeSeries, where timeSeries[i] denotes that Teemo attacks Ashe at second timeSeries[i], and an integer duration.
Return the total number of seconds that Ashe is poisoned.
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Example 1:
\n\n\nInput: timeSeries = [1,4], duration = 2\nOutput: 4\nExplanation: Teemo's attacks on Ashe go as follows:\n- At second 1, Teemo attacks, and Ashe is poisoned for seconds 1 and 2.\n- At second 4, Teemo attacks, and Ashe is poisoned for seconds 4 and 5.\nAshe is poisoned for seconds 1, 2, 4, and 5, which is 4 seconds in total.\n\n\n
Example 2:
\n\n\nInput: timeSeries = [1,2], duration = 2\nOutput: 3\nExplanation: Teemo's attacks on Ashe go as follows:\n- At second 1, Teemo attacks, and Ashe is poisoned for seconds 1 and 2.\n- At second 2 however, Teemo attacks again and resets the poison timer. Ashe is poisoned for seconds 2 and 3.\nAshe is poisoned for seconds 1, 2, and 3, which is 3 seconds in total.\n\n
\n
Constraints:
\n\n1 <= timeSeries.length <= 1040 <= timeSeries[i], duration <= 107timeSeries is sorted in non-decreasing order.Compiled with clang 11 using the latest C++ 20 standard.
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