Huahua's Tech Road

花花酱 LeetCode 1389. Create Target Array in the Given Order

By zxi on March 22, 2020

Given two arrays of integers nums and index. Your task is to create target array under the following rules:

Initially target array is empty.
From left to right read nums[i] and index[i], insert at index index[i] the value nums[i] in target array.
Repeat the previous step until there are no elements to read in nums and index.

Return the target array.

It is guaranteed that the insertion operations will be valid.

Example 1:

Input: nums = [0,1,2,3,4], index = [0,1,2,2,1]
Output: [0,4,1,3,2]
Explanation:
nums       index     target
0            0        [0]
1            1        [0,1]
2            2        [0,1,2]
3            2        [0,1,3,2]
4            1        [0,4,1,3,2]

Example 2:

Input: nums = [1,2,3,4,0], index = [0,1,2,3,0]
Output: [0,1,2,3,4]
Explanation:
nums       index     target
1            0        [1]
2            1        [1,2]
3            2        [1,2,3]
4            3        [1,2,3,4]
0            0        [0,1,2,3,4]

Example 3:

Input: nums = [1], index = [0]
Output: [1]

Constraints:

1 <= nums.length, index.length <= 100
nums.length == index.length
0 <= nums[i] <= 100
0 <= index[i] <= i

Solution: Simulation

Time complexity: O(n) ~ O(n^2)
Space complexity: O(n)

C++

// Author: Huahua

class Solution {

public:

vector<int> createTargetArray(vector<int>& nums, vector<int>& index) {

vector<int> target;

for (int i = 0; i < nums.size(); ++i)

target.insert(begin(target) + index[i], nums[i]);

return target;

}

};

花花酱 LeetCode 1386. Cinema Seat Allocation

By zxi on March 22, 2020

A cinema has n rows of seats, numbered from 1 to n and there are ten seats in each row, labelled from 1 to 10 as shown in the figure above.

Given the array reservedSeats containing the numbers of seats already reserved, for example, reservedSeats[i]=[3,8] means the seat located in row 3 and labelled with 8 is already reserved.

Return the maximum number of four-person families you can allocate on the cinema seats. A four-person family occupies fours seats in one row, that are next to each other. Seats across an aisle (such as [3,3] and [3,4]) are not considered to be next to each other, however, It is permissible for the four-person family to be separated by an aisle, but in that case, exactly two people have to sit on each side of the aisle.

Example 1:

Input: n = 3, reservedSeats = [[1,2],[1,3],[1,8],[2,6],[3,1],[3,10]]
Output: 4
Explanation: The figure above shows the optimal allocation for four families, where seats mark with blue are already reserved and contiguous seats mark with orange are for one family.

Example 2:

Input: n = 2, reservedSeats = [[2,1],[1,8],[2,6]]
Output: 2

Example 3:

Input: n = 4, reservedSeats = [[4,3],[1,4],[4,6],[1,7]]
Output: 4

Constraints:

1 <= n <= 10^9
1 <= reservedSeats.length <= min(10*n, 10^4)
reservedSeats[i].length == 2
1 <= reservedSeats[i][0] <= n
1 <= reservedSeats[i][1] <= 10
All reservedSeats[i] are distinct.

Solution: HashTable + Greedy

if both seat[2~5] seat[6~9] are empty, seat two groups.
if any of seat[2~5] seat[4~7] seat[6~9] is empty seat one group.
if there is no one sit in a row, seat two groups.

Time complexity: O(|reservedSeats|)
Space complexity: O(|rows|)

C++

// Author: Huahua

class Solution {

public:

int maxNumberOfFamilies(int n, vector<vector<int>>& reservedSeats) {

unordered_map<int, int> rows;

for (auto& seat : reservedSeats)

rows[seat[0]] |= 1 << (seat[1] - 1);

int ans = (n - rows.size()) * 2;

for (const auto& [idx, row] : rows) {

int s2 = row & 0b0000011110;

int s4 = row & 0b0001111000;

int s6 = row & 0b0111100000;

if (s2 == 0 && s6 == 0)

ans += 2;

else if (s2 == 0 || s4 == 0 || s6 == 0)

ans += 1;

}

return ans;

}

};

花花酱 LeetCode 1387. Sort Integers by The Power Value

By zxi on March 22, 2020

The power of an integer x is defined as the number of steps needed to transform x into 1 using the following steps:

if x is even then x = x / 2
if x is odd then x = 3 * x + 1

For example, the power of x = 3 is 7 because 3 needs 7 steps to become 1 (3 –> 10 –> 5 –> 16 –> 8 –> 4 –> 2 –> 1).

Given three integers lo, hi and k. The task is to sort all integers in the interval [lo, hi] by the power value in ascending order, if two or more integers have the same power value sort them by ascending order.

Return the k-th integer in the range [lo, hi] sorted by the power value.

Notice that for any integer x (lo <= x <= hi) it is guaranteed that x will transform into 1 using these steps and that the power of x is will fit in 32 bit signed integer.

Example 1:

Input: lo = 12, hi = 15, k = 2
Output: 13
Explanation: The power of 12 is 9 (12 --> 6 --> 3 --> 10 --> 5 --> 16 --> 8 --> 4 --> 2 --> 1)
The power of 13 is 9
The power of 14 is 17
The power of 15 is 17
The interval sorted by the power value [12,13,14,15]. For k = 2 answer is the second element which is 13.
Notice that 12 and 13 have the same power value and we sorted them in ascending order. Same for 14 and 15.

Example 2:

Input: lo = 1, hi = 1, k = 1
Output: 1

Example 3:

Input: lo = 7, hi = 11, k = 4
Output: 7
Explanation: The power array corresponding to the interval [7, 8, 9, 10, 11] is [16, 3, 19, 6, 14].
The interval sorted by power is [8, 10, 11, 7, 9].
The fourth number in the sorted array is 7.

Example 4:

Input: lo = 10, hi = 20, k = 5
Output: 13

Example 5:

Input: lo = 1, hi = 1000, k = 777
Output: 570

Constraints:

1 <= lo <= hi <= 1000
1 <= k <= hi - lo + 1

Solution: Precompute + quick select

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

C++

// Author: Huahua

class Solution {

public:

int getKth(int lo, int hi, int k) {

vector<pair<int, int>> vals;

for (int n = lo; n <= hi; ++n) {

int p = 0;

int x = n;

while (x != 1) {

if (x & 1) x = 3 * x + 1;

else x /= 2;

++p;

}

vals.emplace_back(p, n);

}

nth_element(begin(vals), begin(vals) + k - 1, end(vals));

return vals[k - 1].second;

}

};

花花酱 LeetCode 1391. Check if There is a Valid Path in a Grid

By zxi on March 22, 2020

Given a m x ngrid. Each cell of the grid represents a street. The street of grid[i][j] can be:

1 which means a street connecting the left cell and the right cell.
2 which means a street connecting the upper cell and the lower cell.
3 which means a street connecting the left cell and the lower cell.
4 which means a street connecting the right cell and the lower cell.
5 which means a street connecting the left cell and the upper cell.
6 which means a street connecting the right cell and the upper cell.

You will initially start at the street of the upper-left cell (0,0). A valid path in the grid is a path which starts from the upper left cell (0,0) and ends at the bottom-right cell (m - 1, n - 1). The path should only follow the streets.

Notice that you are not allowed to change any street.

Return true if there is a valid path in the grid or false otherwise.

Example 1:

Input: grid = [[2,4,3],[6,5,2]]
Output: true
Explanation: As shown you can start at cell (0, 0) and visit all the cells of the grid to reach (m - 1, n - 1).

Example 2:

Input: grid = [[1,2,1],[1,2,1]]
Output: false
Explanation: As shown you the street at cell (0, 0) is not connected with any street of any other cell and you will get stuck at cell (0, 0)

Example 3:

Input: grid = [[1,1,2]]
Output: false
Explanation: You will get stuck at cell (0, 1) and you cannot reach cell (0, 2).

Example 4:

Input: grid = [[1,1,1,1,1,1,3]]
Output: true

Example 5:

Input: grid = [[2],[2],[2],[2],[2],[2],[6]]
Output: true

Constraints:

m == grid.length
n == grid[i].length
1 <= m, n <= 300
1 <= grid[i][j] <= 6

Solution: BFS

Need to check both sides (x, y) -> (tx, ty) and (tx, ty) -> (x, y) to make sure a path exist.

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

C++

// Author: Huahua

class Solution {

public:

bool hasValidPath(vector<vector<int>>& grid) {

const int m = grid.size();

const int n = grid[0].size();

vector<int> dirs{0, -1, 0, 1, 0}; // [up, left, down, right]

vector<set<int>> rules{

{1, 3}, {0, 2}, {1, 2},

{2, 3}, {0, 1}, {0, 3}};

queue<int> q{{0}};

vector<int> seen(m * n);

seen[0] = 1;

while (!q.empty()) {

int cx = q.front() % n;

int cy = q.front() / n;

q.pop();

if (cx == n - 1 && cy == m - 1) return true;

for (int d : rules[grid[cy][cx] - 1]) {

int x = cx + dirs[d];

int y = cy + dirs[d + 1];

int key = y * n + x;

if (x < 0 || x >= n || y < 0 || y >= m || seen[key]

|| !rules[grid[y][x] - 1].count((d + 2) % 4)) continue;

seen[key] = 1;

q.push(key);

}

return false;

}

};

花花酱 LeetCode 1392. Longest Happy Prefix

By zxi on March 21, 2020

A string is called a happy prefix if is a non-empty prefix which is also a suffix (excluding itself).

Given a string s. Return the longest happy prefix of s .

Return an empty string if no such prefix exists.

Example 1:

Input: s = "level"
Output: "l"
Explanation: s contains 4 prefix excluding itself ("l", "le", "lev", "leve"), and suffix ("l", "el", "vel", "evel"). The largest prefix which is also suffix is given by "l".

Example 2:

Input: s = "ababab"
Output: "abab"
Explanation: "abab" is the largest prefix which is also suffix. They can overlap in the original string.

Example 3:

Input: s = "leetcodeleet"
Output: "leet"

Example 4:

Input: s = "a"
Output: ""

Constraints:

1 <= s.length <= 10^5
s contains only lowercase English letters.

Solution: Rolling Hash

Time complexity: O(n) / worst case: O(n^2)
Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

string longestPrefix(string_view s) {

const int kMod = 16769023;

const int kBase = 128;

const int n = s.length();

int p = 0;

int q = 0;

int a = 1;

int ans = 0;

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

p = (p + a * s[i - 1]) % kMod;

q = (q * kBase + s[n - i]) % kMod;

a = (a * kBase) % kMod;

if (p == q && s.substr(0, i) == s.substr(n - i))

ans = i;

}

return string(s.substr(0, ans));

}

};