Huahua’s Tech Road

花花酱 LeetCode 1417. Reformat The String

By zxi on April 20, 2020

Given alphanumeric string s. (Alphanumeric string is a string consisting of lowercase English letters and digits).

You have to find a permutation of the string where no letter is followed by another letter and no digit is followed by another digit. That is, no two adjacent characters have the same type.

Return the reformatted string or return an empty string if it is impossible to reformat the string.

Example 1:

Input: s = "a0b1c2"
Output: "0a1b2c"
Explanation: No two adjacent characters have the same type in "0a1b2c". "a0b1c2", "0a1b2c", "0c2a1b" are also valid permutations.

Example 2:

Input: s = "leetcode"
Output: ""
Explanation: "leetcode" has only characters so we cannot separate them by digits.

Example 3:

Input: s = "1229857369"
Output: ""
Explanation: "1229857369" has only digits so we cannot separate them by characters.

Example 4:

Input: s = "covid2019"
Output: "c2o0v1i9d"

Example 5:

Input: s = "ab123"
Output: "1a2b3"

Constraints:

1 <= s.length <= 500
s consists of only lowercase English letters and/or digits.

Solution: Two streams

Create two stacks, one for alphas, another for numbers. If the larger stack has more than one element than the other one then no solution, return “”. Otherwise, interleave two stacks, start with the larger one.

Time complexity: O(n)
Space complexity: O(n)

C++

// Author: Huahua

class Solution {

public:

string reformat(string s) {

string q1;

string q2;

for (char c : s) {

if (isalpha(c))

q1 += c;

else

q2 += c;

}

if (q1.length() < q2.length())

swap(q1, q2);

if (q1.length() > q2.length() + 1)

return "";

string ans;

while (!q1.empty()) {

ans += q1.back();

q1.pop_back();

if (q2.empty()) break;

ans += q2.back();

q2.pop_back();

}

return ans;

}

};

花花酱 LeetCode 1416. Restore The Array

By zxi on April 18, 2020

A program was supposed to print an array of integers. The program forgot to print whitespaces and the array is printed as a string of digits and all we know is that all integers in the array were in the range [1, k] and there are no leading zeros in the array.

Given the string s and the integer k. There can be multiple ways to restore the array.

Return the number of possible array that can be printed as a string s using the mentioned program.

The number of ways could be very large so return it modulo 10^9 + 7

Example 1:

Input: s = "1000", k = 10000
Output: 1
Explanation: The only possible array is [1000]

Example 2:

Input: s = "1000", k = 10
Output: 0
Explanation: There cannot be an array that was printed this way and has all integer >= 1 and <= 10.

Example 3:

Input: s = "1317", k = 2000
Output: 8
Explanation: Possible arrays are [1317],[131,7],[13,17],[1,317],[13,1,7],[1,31,7],[1,3,17],[1,3,1,7]

Example 4:

Input: s = "2020", k = 30
Output: 1
Explanation: The only possible array is [20,20]. [2020] is invalid because 2020 > 30. [2,020] is ivalid because 020 contains leading zeros.

Example 5:

Input: s = "1234567890", k = 90
Output: 34

Constraints:

1 <= s.length <= 10^5.
s consists of only digits and doesn’t contain leading zeros.
1 <= k <= 10^9.

Solution: DP

dp[i] := # of ways to restore the array for s[i:n].

dp[i] = sum(dp[j]), where 0 < j < n, int(s[i:j]) <= k, s[i] != 0

Time complexity: O(n*logk)
Space complexity: O(n)

Top-down

C++

// Author: Huahua

class Solution {

public:

int numberOfArrays(string s, int k) {

constexpr int kMod = 1e9 + 7;

const int n = s.length();

vector<int> mem(n, -1);

// dp(i) returns # of ways for s[i:n]

function<int(int)> dp = [&](int i) {

if (i == n) return 1;

if (s[i] == '0') return 0;

if (mem[i] >= 0) return mem[i];

long num = 0;

int ans = 0;

for (int j = i + 1; j <= n; ++j) {

num = num * 10 + (s[j - 1] - '0');

if (num > k) break;

ans = (ans + dp(j)) % kMod;

}

return mem[i] = ans;

};

return dp(0);

}

};

bottom-up

C++

// Author: Huahua

class Solution {

public:

int numberOfArrays(string s, int k) {

constexpr int kMod = 1e9 + 7;

const int n = s.length();

vector<int> dp(n + 1); // # of ways for s[i:n]

dp.back() = 1;

for (int i = n - 1; i >= 0; --i) {

if (s[i] == '0') continue;

long num = 0;

for (int j = i + 1; j <= n; ++j) {

num = num * 10 + (s[j - 1] - '0');

if (num > k) break;

dp[i] = (dp[i] + dp[j]) % kMod;

}

return dp[0];

}

};

花花酱 LeetCode 1415. The k-th Lexicographical String of All Happy Strings of Length n

By zxi on April 18, 2020

A happy string is a string that:

consists only of letters of the set ['a', 'b', 'c'].
s[i] != s[i + 1] for all values of i from 1 to s.length - 1 (string is 1-indexed).

For example, strings “abc”, “ac”, “b” and “abcbabcbcb” are all happy strings and strings “aa”, “baa” and “ababbc” are not happy strings.

Given two integers n and k, consider a list of all happy strings of length n sorted in lexicographical order.

Return the kth string of this list or return an empty string if there are less than k happy strings of length n.

Example 1:

Input: n = 1, k = 3
Output: "c"
Explanation: The list ["a", "b", "c"] contains all happy strings of length 1. The third string is "c".

Example 2:

Input: n = 1, k = 4
Output: ""
Explanation: There are only 3 happy strings of length 1.

Example 3:

Input: n = 3, k = 9
Output: "cab"
Explanation: There are 12 different happy string of length 3 ["aba", "abc", "aca", "acb", "bab", "bac", "bca", "bcb", "cab", "cac", "cba", "cbc"]. You will find the 9th string = "cab"

Example 4:

Input: n = 2, k = 7
Output: ""

Example 5:

Input: n = 10, k = 100
Output: "abacbabacb"

Constraints:

1 <= n <= 10
1 <= k <= 100

Solution: DFS

Generate the happy strings in lexical order, store the k-th one.
Time complexity: O(n + k)
Space complexity: O(n)

C++

// Author: Huahua

class Solution {

public:

string getHappyString(int n, int k) {

string ans;

string cur;

function<void()> dfs = [&]() {

if (k <= 0) return;

if (cur.length() == n) {

if (--k == 0) ans = cur;

return;

}

for (char ch = 'a'; ch <= 'c'; ++ch) {

if (!cur.empty() && ch == cur.back()) continue;

cur.push_back(ch);

dfs();

cur.pop_back();

}

};

dfs();

return k > 0 ? "" : ans;

}

};

花花酱 LeetCode 1414. Find the Minimum Number of Fibonacci Numbers Whose Sum Is K

By zxi on April 18, 2020

Given the number k, return the minimum number of Fibonacci numbers whose sum is equal to k, whether a Fibonacci number could be used multiple times.

The Fibonacci numbers are defined as:

F₁ = 1
F₂ = 1
F_n = F_n-1 + F_n-2 , for n > 2.

It is guaranteed that for the given constraints we can always find such fibonacci numbers that sum k.

Example 1:

Input: k = 7
Output: 2 
Explanation: The Fibonacci numbers are: 1, 1, 2, 3, 5, 8, 13, ... 
For k = 7 we can use 2 + 5 = 7.

Example 2:

Input: k = 10
Output: 2 
Explanation: For k = 10 we can use 2 + 8 = 10.

Example 3:

Input: k = 19
Output: 3 
Explanation: For k = 19 we can use 1 + 5 + 13 = 19.

Constraints:

1 <= k <= 10^9

Solution: Greedy

Find the largest fibonacci numbers x that x <= k, ans = 1 + find(k – x)

Time complexity: O(logk^2) -> O(logk)
Space complexity: O(logk) -> O(1)

Recursive

C++

// Author: Huahua

class Solution {

public:

int findMinFibonacciNumbers(int k) {

if (k == 0) return 0;

int f1 = 1;

int f2 = 1;

while (f2 <= k) {

swap(f1, f2);

f2 += f1;

}

return 1 + findMinFibonacciNumbers(k - f1);

}

};

Iterative

C++

// Author: Huahua

class Solution {

public:

int findMinFibonacciNumbers(int k) {

int f1 = 1;

int f2 = 1;

int ans = 1;

while (f2 <= k) {

swap(f1, f2);

f2 += f1;

}

k -= f1;

while (k) {

if (k >= f1) {

k -= f1;

ans += 1;

}

f2 -= f1;

swap(f1, f2);

}

return ans;

}

};

花花酱 LeetCode 1413. Minimum Value to Get Positive Step by Step Sum

By zxi on April 18, 2020

Given an array of integers nums, you start with an initial positive value startValue.

In each iteration, you calculate the step by step sum of startValue plus elements in nums (from left to right).

Return the minimum positive value of startValue such that the step by step sum is never less than 1.

Example 1:

Input: nums = [-3,2,-3,4,2]
Output: 5
Explanation: If you choose startValue = 4, in the third iteration your step by step sum is less than 1.
                step by step sum
                startValue = 4 | startValue = 5 | nums
                  (4 -3 ) = 1  | (5 -3 ) = 2    |  -3
                  (1 +2 ) = 3  | (2 +2 ) = 4    |   2
                  (3 -3 ) = 0  | (4 -3 ) = 1    |  -3
                  (0 +4 ) = 4  | (1 +4 ) = 5    |   4
                  (4 +2 ) = 6  | (5 +2 ) = 7    |   2

Example 2:

Input: nums = [1,2]
Output: 1
Explanation: Minimum start value should be positive.

Example 3:

Input: nums = [1,-2,-3]
Output: 5

Constraints:

1 <= nums.length <= 100
-100 <= nums[i] <= 100

Solution: Prefix sum

Find the minimum prefix sum, ans = – min(prefix_sum, 0) + 1

Time complexity: O(n)
Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

int minStartValue(vector<int>& nums) {

int min_sum = 0;

int sum = 0;

for (int num : nums) {

sum += num;

min_sum = min(min_sum, sum);

}

return -min_sum + 1;

}

};

Huahua's Tech Road

花花酱 LeetCode 1417. Reformat The String

Solution: Two streams

C++

花花酱 LeetCode 1416. Restore The Array

Solution: DP

C++

C++

花花酱 LeetCode 1415. The k-th Lexicographical String of All Happy Strings of Length n

Solution: DFS

C++

花花酱 LeetCode 1414. Find the Minimum Number of Fibonacci Numbers Whose Sum Is K

Solution: Greedy

C++

C++

花花酱 LeetCode 1413. Minimum Value to Get Positive Step by Step Sum

Solution: Prefix sum

C++