花花酱 LeetCode 18. 4Sum

By zxi on September 19, 2018

Problem

Given an array nums of n integers and an integer target, are there elements a, b, c, and d in nums such that a + b + c + d = target? Find all unique quadruplets in the array which gives the sum of target.

Note:

The solution set must not contain duplicate quadruplets.

Example:

Given array nums = [1, 0, -1, 0, -2, 2], and target = 0.

A solution set is:
[
  [-1,  0, 0, 1],
  [-2, -1, 1, 2],
  [-2,  0, 0, 2]
]

Solution 1: Sorting + Binary Search

Time complexity: O(n^3 log n + klogk)

Space complexity: O(k)

C++

// Author: Huahua

class Solution {

public:

vector<vector<int>> fourSum(vector<int> &num, int target) {

set<vector<int>> h;

sort(num.begin(), num.end());

int n = num.size();

for (int i = 0; i < n; i++) {

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

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

int t = target - num[i] - num[j] - num[k];

if (t < num[k]) break;

if (!std::binary_search(num.begin() + k + 1, num.end(), t)) continue;

h.insert({num[i], num[j], num[k], t});

}

return vector<vector<int>>(begin(h), end(h));

}

};

C++ opt

// Author: Huahua

class Solution {

public:

vector<vector<int>> fourSum(vector<int> &num, int target) {

sort(num.begin(), num.end());

if (target > 0 && target > 4 * num.back()) return {};

if (target < 0 && target < 4 * num.front()) return {};

set<vector<int>> h;

int n = num.size();

for (int i = 0; i < n; i++) {

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

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

int t = target - num[i] - num[j] - num[k];

if (t < num[k]) break;

if (!std::binary_search(num.begin() + k + 1, num.end(), t)) continue;

h.insert({num[i], num[j], num[k], t});

}

return vector<vector<int>>(begin(h), end(h));

}

};

Solution 2: Sorting + HashTable

Time complexity: O(n^3 + klogk)

Space complexity: O(n + k)

C++

// Author: Huahua

class Solution {

public:

vector<vector<int>> fourSum(vector<int> &num, int target) {

sort(num.begin(), num.end());

if (target > 0 && target > 4 * num.back()) return {};

if (target < 0 && target < 4 * num.front()) return {};

unordered_map<int, int> index;

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

index[num[i]] = i;

set<vector<int>> h;

int n = num.size();

for (int i = 0; i < n; i++) {

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

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

int t = target - num[i] - num[j] - num[k];

if (t < num[k]) break;

auto it = index.find(t);

if (it == index.end() || it->second <= k) continue;

h.insert({num[i], num[j], num[k], t});

}

return vector<vector<int>>(begin(h), end(h));

}

};

Problem

Given an array nums of n integers and an integer target, find three integers in nums such that the sum is closest to target. Return the sum of the three integers. You may assume that each input would have exactly one solution.

Example:

Given array nums = [-1, 2, 1, -4], and target = 1.

The sum that is closest to the target is 2. (-1 + 2 + 1 = 2).

Solution: Sorting + Two Pointers

Similar to 花花酱 LeetCode 15. 3Sum

Time complexity: O(n^2)

Space complexity: O(1)

C++

// Author: Huahua, 8 ms

class Solution {

public:

int threeSumClosest(vector<int> &num, int target) {

int n = num.size();

int d = INT_MAX;

int ans = target;

sort(num.begin(), num.end());

for (int i = 0; i < n - 2; i++) {

int s = i + 1, t = n - 1;

while (s < t) {

int sum = num[i] + num[s] + num[t];

if (sum == target)

return target;

int diff = abs(sum - target);

if (diff < d) {

d = diff;

ans = sum;

}

if (sum > target) --t;

else ++s;

}

return ans;

}

};

Java

// Author: Huahua

class Solution {

public int threeSumClosest(int[] nums, int target) {

Arrays.sort(nums);

int n = nums.length;

int ans = 0;

int d = Integer.MAX_VALUE;

for (int i = 0; i < n - 2; ++i) {

int s = i + 1;

int t = n - 1;

while (s < t) {

int sum = nums[i] + nums[s] + nums[t];

if (sum == target) return target;

int diff = Math.abs(sum - target);

if (diff < d) {

d = diff;

ans = sum;

}

if (sum > target) --t;

else ++s;

}

return ans;

}

Python3

# Author: Huahua

class Solution:

def threeSumClosest(self, nums, target):

nums.sort()

n = len(nums)

d = 2**32

ans = 0

for i in range(n - 2):

s, t = i + 1, n - 1

while s < t:

sum3 = nums[i] + nums[s] + nums[t]

if sum3 == target: return target

diff = abs(sum3 - target)

if diff < d: ans, d = sum3, diff

if sum3 > target:

t -= 1

else:

s += 1

return ans

花花酱 LeetCode 14. Longest Common Prefix

By zxi on September 19, 2018

Problem

Write a function to find the longest common prefix string amongst an array of strings.

If there is no common prefix, return an empty string "".

Example 1:

Input: ["flower","flow","flight"]
Output: "fl"

Example 2:

Input: ["dog","racecar","car"]
Output: ""
Explanation: There is no common prefix among the input strings.

Note:

All given inputs are in lowercase letters a-z.

Solution: Brute Force

Time complexity: O(mk), where k the length of common prefix.

Space complexity: O(k)

C++

// Author: Huahua

class Solution {

public:

string longestCommonPrefix(vector<string>& strs) {

if (strs.empty()) return "";

string ans;

for (int i = 0; i < strs[0].size(); ++i) {

for (const string& s : strs)

if (s.length() <= i || s[i] != strs[0][i]) return ans;

ans += strs[0][i];

}

return ans;

}

};

Java

Time complexity: (mk + k^2)

// Author: Huahua

class Solution {

public String longestCommonPrefix(String[] strs) {

if (strs.length == 0) return "";

String ans = new String();

for (int i = 0; i < strs[0].length(); ++i) {

char c = strs[0].charAt(i);

for (String s : strs)

if (s.length() <= i || s.charAt(i) != c) return ans;

ans += c;

}

return ans;

}

Python3

# Author: Huahua

class Solution:

def longestCommonPrefix(self, strs):

if not strs: return ""

ans = ""

for i in range(len(strs[0])):

for s in strs:

if len(s) <= i or s[i] != strs[0][i]: return ans

ans += strs[0][i]

return ans

花花酱 LeetCode 13. Roman to Integer

By zxi on September 19, 2018

Problem

Roman numerals are represented by seven different symbols: I, V, X, L, C, D and M.

Symbol       Value
I             1
V             5
X             10
L             50
C             100
D             500
M             1000

For example, two is written as II in Roman numeral, just two one’s added together. Twelve is written as, XII, which is simply X + II. The number twenty seven is written as XXVII, which is XX + V + II.

Roman numerals are usually written largest to smallest from left to right. However, the numeral for four is not IIII. Instead, the number four is written as IV. Because the one is before the five we subtract it making four. The same principle applies to the number nine, which is written as IX. There are six instances where subtraction is used:

I can be placed before V (5) and X (10) to make 4 and 9.
X can be placed before L (50) and C (100) to make 40 and 90.
C can be placed before D (500) and M (1000) to make 400 and 900.

Given a roman numeral, convert it to an integer. Input is guaranteed to be within the range from 1 to 3999.

Example 1:

Input: "III"
Output: 3

Example 2:

Input: "IV"
Output: 4

Example 3:

Input: "IX"
Output: 9

Example 4:

Input: "LVIII"
Output: 58
Explanation: C = 100, L = 50, XXX = 30 and III = 3.

Example 5:

Input: "MCMXCIV"
Output: 1994
Explanation: M = 1000, CM = 900, XC = 90 and IV = 4.

Solution

accumulate the value of each letter.

If the value of current letter is greater than the previous one, deduct twice of the previous value.

e.g. IX, 1 + 10 – 2 * 1 = 9 instead of 1 + 10 = 11

Time complexity: O(n)

Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

int romanToInt(string s) {

map<char, int> m{{'I', 1}, {'V', 5},

{'X', 10}, {'L', 50},

{'C', 100}, {'D', 500},

{'M', 1000}};

int ans = 0;

for (int i = 0; i < s.length(); i++) {

ans += m[s[i]];

if (i > 0 && m[s[i]] > m[s[i - 1]])

ans -= 2 * m[s[i - 1]];

}

return ans;

}

};

Java

// Author: Huahua

class Solution {

private int v(char R) {

switch (R) {

case 'I' : return 1;

case 'V' : return 5;

case 'X' : return 10;

case 'L' : return 50;

case 'C' : return 100;

case 'D' : return 500;

case 'M' : return 1000;

default: break;

}

return 0;

}

public int romanToInt(String s) {

int ans = 0;

for (int i = 0; i < s.length(); i++) {

ans += v(s.charAt(i));

if ( i > 0 && v(s.charAt(i)) > v(s.charAt(i - 1)))

ans -= 2 * v(s.charAt(i - 1));

}

return ans;

}

Python3

class Solution:

def romanToInt(self, s):

m = {'I' : 1, 'V': 5, 'X': 10, 'L' : 50,

'C' : 100, 'D': 500, 'M': 1000}

ans = m[s[0]]

for c, p in zip(s[1:], s[0:-1]):

ans += m[c]

if m[c] > m[p]: ans -= 2 * m[p]

return ans

花花酱 LeetCode 223. Rectangle Area

By zxi on September 19, 2018

Problem

Find the total area covered by two rectilinear rectangles in a 2D plane.

Each rectangle is defined by its bottom left corner and top right corner as shown in the figure.

Example:

Input: A = -3, B = 0, C = 3, D = 4, E = 0, F = -1, G = 9, H = 2
Output: 45

Note:

Assume that the total area is never beyond the maximum possible value of int.

Solution:

area1 + area2 – overlapped area

Time complexity: O(1)

Space complexity: O(1)

C++

// Author: Huahua

class Solution {

public:

int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {

int area1 = (C - A) * (D - B);

int area2 = (G - E) * (H - F);

int x1 = max(A, E);

int x2 = max(x1, min(C, G));

int y1 = max(B, F);

int y2 = max(y1, min(D, H));

return area1 + area2 - (x2 - x1) * (y2 - y1);

}

};

Java

// Author: Huahua

class Solution {

public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {

int area1 = (C - A) * (D - B);

int area2 = (G - E) * (H - F);

int x1 = Math.max(A, E);

int x2 = Math.max(x1, Math.min(C, G));

int y1 = Math.max(B, F);

int y2 = Math.max(y1, Math.min(D, H));

return area1 + area2 - (x2 - x1) * (y2 - y1);

}

Python3

# Author: Huahua

class Solution:

def computeArea(self, A, B, C, D, E, F, G, H):

area1 = (C - A) * (D - B);

area2 = (G - E) * (H - F);

x1 = max(A, E);

x2 = max(x1, min(C, G));

y1 = max(B, F);

y2 = max(y1, min(D, H));

return area1 + area2 - (x2 - x1) * (y2 - y1)

花花酱 LeetCode 18. 4Sum

Problem

Solution 1: Sorting + Binary Search

C++

C++ opt

Solution 2: Sorting + HashTable

C++

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Huahua's Tech Road

花花酱 LeetCode 18. 4Sum

Problem

Solution 1: Sorting + Binary Search

C++

C++ opt

Solution 2: Sorting + HashTable

C++

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