Create form-largest-integer-with-digits-that-add-up-to-target.py

Author: kamyu104

Python/form-largest-integer-with-digits-that-add-up-to-target.py

@@ -0,0 +1,42 @@
+# Time:  O(t)
+# Space: O(t)
+
+class Solution(object):
+    def largestNumber(self, cost, target):
+        """
+        :type cost: List[int]
+        :type target: int
+        :rtype: str
+        """
+        dp = [0] + [-1]*(target)
+        for t in xrange(1, target+1):
+            for i, c in enumerate(cost):
+                if t-c < 0 or dp[t-c] < 0:
+                    continue
+                dp[t] = max(dp[t], dp[t-c]+1)
+        if dp[target] < 0:
+            return "0"
+        result = []
+        for i in reversed(xrange(1, 9)):
+            while target >= cost[i] and dp[target] == dp[target-cost[i]]+1:
+                target -= cost[i]
+                result.append(i)
+        return "".join(map(str, result))
+
+
+# Time:  O(t^2)
+# Space: O(t^2)
+class Solution(object):
+    def largestNumber(self, cost, target):
+        """
+        :type cost: List[int]
+        :type target: int
+        :rtype: str
+        """
+        dp = [0] + [-1]*(target)
+        for t in xrange(1, target+1):
+            for i, c in enumerate(cost):
+                if t-c < 0:
+                    continue
+                dp[t] = max(dp[t], dp[t-c]*10 + i+1)
+        return str(max(dp[t], 0))