add 313. Super Ugly Number

Author: selfboot

DynamicProgramming/313_SuperUglyNumber.cpp

@@ -0,0 +1,33 @@
+/*
+ * @Author: [email protected]
+ * @Last Modified time: 2016-07-10 10:55:05
+ */
+
+class Solution {
+public:
+    /* Just according to:
+     * https://discuss.leetcode.com/topic/31012/7-line-consice-o-kn-c-solution
+     */
+    int nthSuperUglyNumber(int n, vector<int>& primes) {
+        vector<int> index(primes.size(), 0), ugly_numbers(n, INT_MAX);
+        ugly_numbers[0] = 1;
+        for(int i=1; i<n; i++){
+            for(int j=0; j<primes.size();j++){
+                ugly_numbers[i]=min(ugly_numbers[i], ugly_numbers[index[j]]*primes[j]);
+            }
+            for(int j=0; j<primes.size();j++){
+                index[j] += (ugly_numbers[i]==ugly_numbers[index[j]]*primes[j]);
+            }
+        }
+        return ugly_numbers[n-1];
+    }
+};
+
+/*
+2
+[2,3,5]
+100
+[2,3,5,7,11]
+5
+[2,3,5,7,11,13,17,19]
+*/

DynamicProgramming/313_SuperUglyNumber.py

@@ -0,0 +1,45 @@
+#! /usr/bin/env python
+# -*- coding: utf-8 -*-
+# @Author: [email protected]
+# @Last Modified time: 2016-07-10 10:32:18
+
+
+class Solution(object):
+    """ Basic idea is same as ugly number II.
+
+    New ugly number is generated by multiplying a prime with
+    previous generated ugly number.
+    One catch is need to remove duplicate.
+
+    Make code shorter and faster according to:
+    https://discuss.leetcode.com/topic/33103/fast-python-solution-based-on-solution-for-ugly-number-ii
+    """
+    def nthSuperUglyNumber(self, n, primes):
+        k = len(primes)
+        ugly_numbers = [1] * n
+        index_record = [-1] * k
+        value_record = [1] * k
+
+        ugly_index = 0
+        while ugly_index < n:
+            min_val = min(value_record)
+            ugly_numbers[ugly_index] = min_val
+
+            for i in range(k):
+                # Remove duplicate numbers here.
+                if value_record[i] == min_val:
+                    index_record[i] += 1
+                    value_record[i] = primes[i] * ugly_numbers[index_record[i]]
+
+            ugly_index += 1
+
+        return ugly_numbers[n - 1]
+
+"""
+2
+[2,3,5]
+100
+[2,3,5,7,11]
+5
+[2,3,5,7,11,13,17,19]
+"""

README.md

@@ -201,6 +201,7 @@
 * 303. [Range Sum Query - Immutable](DynamicProgramming/303_RangeSumQueryImmutable.py)
 * 304. [Range Sum Query 2D - Immutable](DynamicProgramming/304_RangeSumQuery2DImmutable.py)
 * 309. [Best Time to Buy and Sell Stock with Cooldown](DynamicProgramming/309_BestTimeBuySellStockWithCooldown.py)
+* 313. [Super Ugly Number](DynamicProgramming/313_SuperUglyNumber.py)
 * 337. [House Robber III](DynamicProgramming/337_HouseRobberIII.py)
 * 368. [Largest Divisible Subset](DynamicProgramming/368_LargestDivisibleSubset.py)
 * 357. [Count Numbers with Unique Digits](DynamicProgramming/357_CountNumbersWithUniqueDigits.py)