Leetcode Problem 2403. Minimum Time to Kill All Monsters

2403. Minimum Time to Kill All Monsters

Leetcode Solutions

Initialize a DP array dp with size 2^n (where n is the number of monsters) and fill it with infinity. The DP array will hold the minimum days required to defeat monsters for each state.
Set dp[0] to 0 since no days are needed if no monsters are to be defeated.
Iterate over all possible states from 1 to 2^n - 1.
For each state, calculate the number of monsters defeated (gain) using the number of set bits in the state.
For each monster, check if it is not yet defeated in the current state.
Calculate the new state by setting the bit corresponding to the current monster to 1.
Calculate the days needed to defeat the current monster with the current gain.
Update the DP array with the minimum of the current value and the days needed to reach the new state from the current state.
Return dp[2^n - 1] as the answer, which represents the minimum days needed to defeat all monsters.

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