aboutsummaryrefslogtreecommitdiff
path: root/max_total_damage_spell_casting.py
diff options
context:
space:
mode:
Diffstat (limited to 'max_total_damage_spell_casting.py')
-rw-r--r--max_total_damage_spell_casting.py45
1 files changed, 45 insertions, 0 deletions
diff --git a/max_total_damage_spell_casting.py b/max_total_damage_spell_casting.py
new file mode 100644
index 0000000..946bf15
--- /dev/null
+++ b/max_total_damage_spell_casting.py
@@ -0,0 +1,45 @@
+# 3186. Maximum Total Damage With Spell Casting
+from collections import Counter
+
+"""
+a magician has various spells. you are given an array 'power', where each
+element represents the damage of a spell. multiple spells can have the same
+damage value. it is a known fact that if a magician decides to cast a spell
+with a damage of 'power[i]', they cannot cast any spell with a damage of
+'power[i] - 2', 'power[i] - 1', 'power[i] + 1', or 'power[i] + 2'. each spell
+can only be cast once. return the maximum possible total damage that a
+magician can cast.
+"""
+
+
+class Solution(object):
+ def maximumTotalDamage(self, power):
+ """
+ :type power: List[int]
+ :rtype: int
+ """
+ freq = Counter(power)
+ keys = sorted(freq)
+ n = len(keys)
+ dp = [0] * n
+ dp[0] = freq[keys[0]] * keys[0]
+ for i in range(1, n):
+ take = freq[keys[i]] * keys[i]
+ l, r, ans = 0, i - 1, -1
+ while l <= r:
+ mid = (l + r) // 2
+ if keys[mid] <= keys[i] - 3:
+ ans = mid
+ l = mid + 1
+ else:
+ r = mid - 1
+ if ans >= 0:
+ take += dp[ans]
+ dp[i] = max(dp[i - 1], take)
+ return dp[-1]
+
+
+if __name__ == "__main__":
+ obj = Solution()
+ print(obj.maximumTotalDamage(power=[1, 1, 3, 4]))
+ print(obj.maximumTotalDamage(power=[7, 1, 6, 6]))